context stringlengths 545 71.9k | questionsrc stringlengths 16 10.2k | question stringlengths 11 563 |
|---|---|---|
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the word displacement implies that an object has moved , or has been displaced . displacement is defined to be the change in position of an object . it can be defined mathematically with the following equation : $ \text { displacement } =\delta x=x_f-x_0 $ $ x_f $ refers to the value of the final position . | for the displacement of object d , how come the final position was considered 5m and not 3m ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | what does position mean ? in physics , we love to precisely describe the motion of an object . | is it possible to calculate any solutions ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | would n't object c in total distance traveled be 14 ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | how is the distance traveled by object d equal to 8 m ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | it has no direction and , thus , no negative sign . for example , the distance the professor walks is $ 2.0 \text { m } $ . the distance the airplane passenger walks is $ 4.0 \text { m } $ . | in example 2 how was the distance of objects b , c , and d taken out ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | his displacement is negative because his motion is toward the rear of the plane , or in the negative x direction in our coordinate system . in one-dimensional motion , direction can be specified with a plus or minus sign . when you begin a problem , you should select which direction is positive—usually that will be to ... | what does the plus and minus sign have to do with the displacement equation ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ \delta x $ is the symbol used to represent displacement . displacement is a vector . this means it has a direction as well as a magnitude and is represented visually as an arrow that points from the initial position to the final position . | is displacement vector or scalar ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | but to describe an object 's motion , we have to first be able to describe its position—where it is at any particular time . more precisely , we need to specify its position relative to a convenient reference frame . earth is often used as a reference frame , and we often describe the position of an object as it relate... | what is a reference frame ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ \delta x $ is the symbol used to represent displacement . displacement is a vector . this means it has a direction as well as a magnitude and is represented visually as an arrow that points from the initial position to the final position . | what is the difference between displacement and vector ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | in this case her displacement would be $ +2 \text { m } $ , the magnitude of her displacement would be $ 2 \text { m } $ , but the distance she traveled would be $ 150 \text { m } $ . in kinematics we nearly always deal with displacement and magnitude of displacement and almost never with distance traveled . one way to... | what is difference between distance and magnitude of displacement ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | people often forget to include a negative sign , if needed , in their answer for displacement . this sometimes occurs if they accidentally subtract the final position from the initial position rather than subtracting the initial position from the final position . what do solved examples involving displacement look like... | in the second paragraph , below the airplane figure , why is the initial and final position written as x ( subscript 0 ) ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the $ −4.0\text { m } $ displacement of the passenger relative to the plane is represented by an arrow toward the rear of the plane . ( image credit : openstax college physics ) the airplane passenger ’ s initial position is $ x_0=6.0\text { m } $ and his final position is $ x_f=2.0\text { m } $ , so his displacement c... | why is x ( sub0 ) = 2.0 m ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | in this case her displacement would be $ +2 \text { m } $ , the magnitude of her displacement would be $ 2 \text { m } $ , but the distance she traveled would be $ 150 \text { m } $ . in kinematics we nearly always deal with displacement and magnitude of displacement and almost never with distance traveled . one way to... | is the magnitude of the displacement the same thing as distance ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | in this case her displacement would be $ +2 \text { m } $ , the magnitude of her displacement would be $ 2 \text { m } $ , but the distance she traveled would be $ 150 \text { m } $ . in kinematics we nearly always deal with displacement and magnitude of displacement and almost never with distance traveled . one way to... | what exactly is the difference between distance and magnitude of displacement ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | in other cases , we use reference frames that are not stationary but rather are in motion relative to earth . to describe the position of a person in an airplane , for example , we use the airplane , not earth , as the reference frame ( figure 2 ) . the variable $ x $ is often used to represent the horizontal position ... | if a dragonfly is hovering in a moving airplane , in place like it normally would on earth , would it remain in one position on the airplane or would it hit the back of the airplane as the airplane moves ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the variable $ y $ is often used to represent the vertical position . what does displacement mean ? if an object moves relative to a reference frame—for example , if a professor moves to the right relative to a whiteboard , or a passenger moves toward the rear of an airplane—then the object ’ s position changes . | how is displacement applied in real life ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | we can talk about the distance between two points , or we can talk about the distance traveled by an object . distance is defined to be the magnitude or size of displacement between two positions . note that the distance between two positions is not the same as the distance traveled between them . | is n't a vector magnitude/size and direction , and a scalar is magnitude/size ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ x_0 $ refers to the value of the initial position . $ \delta x $ is the symbol used to represent displacement . displacement is a vector . | does the magnitude of displacement between x ( 0 ) and x ( f ) always = distance between x ( 0 ) and x ( f ) ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | do you have to label if the distance is positive/negative ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | ( image credit : openstax college physics ) the airplane passenger ’ s initial position is $ x_0=6.0\text { m } $ and his final position is $ x_f=2.0\text { m } $ , so his displacement can be found as follows , $ \delta x=x_f−x_0=2.0 \text { m } −6.0\text { m } =-4.0 \text { m } $ . his displacement is negative because... | so , my question simply is , can a scalar quantity ever be a negative number ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | if distance is a scalar and it is not negative so why is the distance of displacement negative ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | what does position mean ? in physics , we love to precisely describe the motion of an object . | so basically if an object moves three meters to the right and goes back to the original position by moving three meters to the left , does it mean that the displacement = 0 ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | in this case her displacement would be $ +2 \text { m } $ , the magnitude of her displacement would be $ 2 \text { m } $ , but the distance she traveled would be $ 150 \text { m } $ . in kinematics we nearly always deal with displacement and magnitude of displacement and almost never with distance traveled . one way to... | what is the difference between kinematics and dynamics ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | but to describe an object 's motion , we have to first be able to describe its position—where it is at any particular time . more precisely , we need to specify its position relative to a convenient reference frame . earth is often used as a reference frame , and we often describe the position of an object as it relate... | i get how a reference frame makes the displacement of something positive or negative but from what reference frame would a displacement be zero ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | it can be defined mathematically with the following equation : $ \text { displacement } =\delta x=x_f-x_0 $ $ x_f $ refers to the value of the final position . $ x_0 $ refers to the value of the initial position . $ \delta x $ is the symbol used to represent displacement . | why is it necessary to subtract the initial value from the final value ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the variable $ y $ is often used to represent the vertical position . what does displacement mean ? if an object moves relative to a reference frame—for example , if a professor moves to the right relative to a whiteboard , or a passenger moves toward the rear of an airplane—then the object ’ s position changes . | what does displacement mean in finite element analysis ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the variable $ y $ is often used to represent the vertical position . what does displacement mean ? if an object moves relative to a reference frame—for example , if a professor moves to the right relative to a whiteboard , or a passenger moves toward the rear of an airplane—then the object ’ s position changes . | what does the displacement function refer to ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | people often forget that the distance traveled can be greater than the magnitude of the displacement . by magnitude , we mean the size of the displacement without regard to its direction ( i.e. , just a number with a unit ) . for example , the professor could pace back and forth many times , perhaps walking a distance ... | what is the number of dimensions ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | but to describe an object 's motion , we have to first be able to describe its position—where it is at any particular time . more precisely , we need to specify its position relative to a convenient reference frame . earth is often used as a reference frame , and we often describe the position of an object as it relate... | what is the difference between inertial and non inertial frame of reference ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | in one-dimensional motion , direction can be specified with a plus or minus sign . when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? | should speed always be positive ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the variable $ y $ is often used to represent the vertical position . what does displacement mean ? if an object moves relative to a reference frame—for example , if a professor moves to the right relative to a whiteboard , or a passenger moves toward the rear of an airplane—then the object ’ s position changes . | why displacement is the shortest path or way compared to actual path ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the distance traveled , however , is the total length of the path taken between the two marks . people often forget to include a negative sign , if needed , in their answer for displacement . this sometimes occurs if they accidentally subtract the final position from the initial position rather than subtracting the ini... | for above figure for distance of b why its initial position is negative ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | for example , a professor ’ s position could be described in terms of where she is in relation to the nearby white board ( figure 1 ) . in other cases , we use reference frames that are not stationary but rather are in motion relative to earth . to describe the position of a person in an airplane , for example , we use... | do you have to use an object as a reference point , or is it okay to just use a spot in space ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the distance traveled , however , is the total length of the path taken between the two marks . people often forget to include a negative sign , if needed , in their answer for displacement . this sometimes occurs if they accidentally subtract the final position from the initial position rather than subtracting the ini... | how do we know the displacement is positive or negative ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | but to describe an object 's motion , we have to first be able to describe its position—where it is at any particular time . more precisely , we need to specify its position relative to a convenient reference frame . earth is often used as a reference frame , and we often describe the position of an object as it relate... | what is the a reference frame ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ \delta x $ is the symbol used to represent displacement . displacement is a vector . this means it has a direction as well as a magnitude and is represented visually as an arrow that points from the initial position to the final position . | when you say -5 , is that a vector , or scalar ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ \delta x $ is the symbol used to represent displacement . displacement is a vector . this means it has a direction as well as a magnitude and is represented visually as an arrow that points from the initial position to the final position . | if it is n't , would -5m to the left be a vector ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | are distance and displacement are relative terms ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ \delta x $ is the symbol used to represent displacement . displacement is a vector . this means it has a direction as well as a magnitude and is represented visually as an arrow that points from the initial position to the final position . | why is a radius vector similar to the displacement ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | so displacement is basically the distance of which the item has moved ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | how is displacement not the distance ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | how is distance a scalar quantity ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | is distance a straight line beteween 2 positions , and distance traveled is where you go during being displaced ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the $ +2.0\text { m } $ displacement of the professor relative to the whiteboard is represented by an arrow pointing to the right . ( image credit : openstax college physics ) the professor ’ s initial position is $ x_0=1.5\text { m } $ and her final position is $ x_f=3.5\text { m } $ . thus , her displacement can be f... | why was the x0 position of the professor 1.5m and not 0 ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ x_0 $ refers to the value of the initial position . $ \delta x $ is the symbol used to represent displacement . displacement is a vector . | so for the displacement equation , is there a different in using delta ( x ) or delta ( y ) ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | if an object moves relative to a reference frame—for example , if a professor moves to the right relative to a whiteboard , or a passenger moves toward the rear of an airplane—then the object ’ s position changes . this change in position is known as displacement . the word displacement implies that an object has moved... | is displacement change in position horizontally ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the variable $ y $ is often used to represent the vertical position . what does displacement mean ? if an object moves relative to a reference frame—for example , if a professor moves to the right relative to a whiteboard , or a passenger moves toward the rear of an airplane—then the object ’ s position changes . | why does displacement refer to two things : this and displacement of fluid ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the variable $ y $ is often used to represent the vertical position . what does displacement mean ? if an object moves relative to a reference frame—for example , if a professor moves to the right relative to a whiteboard , or a passenger moves toward the rear of an airplane—then the object ’ s position changes . | would n't it just be easier to define displacement of motion and displacement of fluid as completely different terms ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | we can talk about the distance between two points , or we can talk about the distance traveled by an object . distance is defined to be the magnitude or size of displacement between two positions . note that the distance between two positions is not the same as the distance traveled between them . | how does magnitude in linear algebra compare to magnitude in physics ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | his displacement is negative because his motion is toward the rear of the plane , or in the negative x direction in our coordinate system . in one-dimensional motion , direction can be specified with a plus or minus sign . when you begin a problem , you should select which direction is positive—usually that will be to ... | when coming across a problem about displacement , should we include the plus sign and minus sign in case the direction is not given , as it is a vector quantity ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ x_0 $ refers to the value of the initial position . $ \delta x $ is the symbol used to represent displacement . displacement is a vector . | normally , what does `` x '' represent ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | is distance the same as displacement ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | more precisely , we need to specify its position relative to a convenient reference frame . earth is often used as a reference frame , and we often describe the position of an object as it relates to stationary objects in that reference frame . for example , a professor ’ s position could be described in terms of where... | if we take every object in our universe as the reference frame can we move in a direction that is the same for every object ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | object a travels a total distance of $ 7\text { m } $ . object b travels a total distance of $ 5\text { m } $ . object c travels a total distance of $ 8\text { m } +2\text { m } +2\text { m } =12\text { m } $ . | on object c of total distance how did the calculation come out = 12m ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | the displacement of object a can be shown with this equation : $ \delta x_a= 7\text { m } -0\text { m } =+7\text { m } $ object b had an initial position of $ 12\text { m } $ and a final position of $ 7\text { m } $ . the displacement of object b can be shown with this equation : $ \delta x_b= 7\text { m } -12\text { m... | do you think if you or someone can break down how khan got object c and d ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | in this coordinate system , motion to the right is positive , whereas motion to the left is negative . now consider the passenger that walks relative to the plane in figure 2 . figure 2 : a passenger moves from his seat to the back of the plane . | can someone please explain what `` walks with relative to '' means ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ x_0 $ refers to the value of the initial position . $ \delta x $ is the symbol used to represent displacement . displacement is a vector . | so a good question how is displacement used in relation to the earth ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | can you guys give me a more easy , understandable definition of distance and displacement ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | some people say that displacement is the shortest distance traveled b/w point a and point b is it true ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | object a travels a total distance of $ 7\text { m } $ . object b travels a total distance of $ 5\text { m } $ . object c travels a total distance of $ 8\text { m } +2\text { m } +2\text { m } =12\text { m } $ . | if you are always supposed to calculate xi-xf why do n't you calculate change in b as -12m +7= -5 ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | $ x_0 $ refers to the value of the initial position . $ \delta x $ is the symbol used to represent displacement . displacement is a vector . | in the displacement equation , what does the `` x '' stand for ? |
what does position mean ? in physics , we love to precisely describe the motion of an object . seriously , the first few chapters of basically every physics textbook are devoted to teaching people how to precisely describe motion since it is so important to everything else we do in physics . but to describe an object '... | when you begin a problem , you should select which direction is positive—usually that will be to the right or up , but you are free to select positive as being any direction . what do distance and distance traveled mean ? we must be careful when using the word distance since there are two ways in which the term distanc... | the displacement of a body is the shortest distance traveled by the body.but how is this possible since the body does not cover the distance ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | ( these fragments were n't necessarily $ 900 $ bp or less , but researchers were able to `` walk '' along each fragment using multiple rounds of sanger sequencing . ) the fragments were aligned based on overlapping portions to assemble the sequences of larger regions of dna and , eventually , entire chromosomes . altho... | how were the first primers chosen if the sequences were unknown ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | for instance , the human genome was completed in 2003 , after a many-year , international effort . but what does it mean to sequence a genome , or even a small fragment of dna ? dna sequencing is the process of determining the sequence of nucleotide bases ( as , ts , cs , and gs ) in a piece of dna . | but if a small segment of the sequence is used , how likely is it that that sequence also belongs to a different person ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | they include : a dna polymerase enzyme a primer , which is a short piece of single-stranded dna that binds to the template dna and acts as a `` starter '' for the polymerase the four dna nucleotides ( datp , dttp , dctp , dgtp ) the template dna to be sequenced however , a sanger sequencing reaction also contains a uni... | why ca n't the die molecule be attached to a regular nucleotide , and then the entire dna chain could be read as a single item ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | it requires breaking the dna of the genome into many smaller pieces , sequencing the pieces , and assembling the sequences into a single long `` consensus . '' however , thanks to new methods that have been developed over the past two decades , genome sequencing is now much faster and less expensive than it was during ... | two molecules of atgc ) since numerous molecules of the same length will be formed ( i suppose ) ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | after the reaction is done , the fragments are run through a long , thin tube containing a gel matrix in a process called capillary gel electrophoresis . short fragments move quickly through the pores of the gel , while long fragments move more slowly . as each fragment crosses the “ finish line ” at the end of the tub... | if the dideoxy 's are n't attaching to some fragments , how is the reconstructed genome considered accurate ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | sanger sequencing was developed by the british biochemist fred sanger and his colleagues in 1977 . in the human genome project , sanger sequencing was used to determine the sequences of many relatively small fragments of human dna . ( these fragments were n't necessarily $ 900 $ bp or less , but researchers were able t... | does n't that mean there are many missing sequences from the final genome ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | although genomes are now typically sequenced using other methods that are faster and less expensive , sanger sequencing is still in wide use for the sequencing of individual pieces of dna , such as fragments used in dna cloning or generated through polymerase chain reaction ( pcr ) . ingredients for sanger sequencing s... | does sanger sequencing give you only the amount of a , t , g & c present in the dna , or does it give you the order in which the base pairs appear on the dna strand too ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | the chain ends with the dideoxy nucleotide , which is marked with a particular color of dye depending on the base ( a , t , c or g ) that it carries . method of sanger sequencing the dna sample to be sequenced is combined in a tube with primer , dna polymerase , and dna nucleotides ( datp , dttp , dgtp , and dctp ) . t... | how is it possible to get the sequence of the original dna if the whole sample is probably disorganized in the mixture ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | it requires breaking the dna of the genome into many smaller pieces , sequencing the pieces , and assembling the sequences into a single long `` consensus . '' however , thanks to new methods that have been developed over the past two decades , genome sequencing is now much faster and less expensive than it was during ... | i did n't see the explanation for this : what exactly is a genome ? |
key points : dna sequencing is the process of determining the sequence of nucleotides ( as , ts , cs , and gs ) in a piece of dna . in sanger sequencing , the target dna is copied many times , making fragments of different lengths . fluorescent “ chain terminator ” nucleotides mark the ends of the fragments and allow t... | next-generation sequencing the name may sound like star trek , but that ’ s really what it ’ s called ! the most recent set of dna sequencing technologies are collectively referred to as next-generation sequencing . there are a variety of next-generation sequencing techniques that use different technologies . | how accurate dna sequencing can be ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | var springforce = _______________ ? ? ? ? bob.applyforce ( spring ) ; // our standard update ( ) and display ( ) methods bob.update ( ) ; bob.display ( ) ; } ; `` ` one option would be to write out all of the spring force code in the main draw ( ) loop . but thinking ahead to when you might have multiple bobs and multi... | how can i throw an exception so that oh noes can display it ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | var springforce = _______________ ? ? ? ? bob.applyforce ( spring ) ; // our standard update ( ) and display ( ) methods bob.update ( ) ; bob.display ( ) ; } ; `` ` one option would be to write out all of the spring force code in the main draw ( ) loop . but thinking ahead to when you might have multiple bobs and multi... | if i use notepad++ to compile the code , how to display it using canvas ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | and perhaps the bob experiences a gravity force via the applyforce ( ) method . just one more step—we need to apply the spring force : `` ` var bob = new bob ( ) ; draw = function ( ) { // our “ make-up-a-gravity force ” var gravity = new pvector ( 0 , 1 ) ; bob.applyforce ( gravity ) ; // we need to also calculate and... | the exlanation of the connect function is not clear and also what is b ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | in other words , if you pull on the bob a lot , the force will be strong ; if you pull on the bob a little , the force will be weak . mathematically , the law is stated as follows : $ f_spring = -k \times x $ k is constant and its value will ultimately scale the force . is the spring highly elastic or quite rigid ? | does it change the original value of b.position ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | we need to know k and x. k is easy ; it ’ s just a constant , so let ’ s make something up . var k = 0.1 ; x is perhaps a bit more difficult . we need to know the “ difference between the current length and the rest length. ” the rest length is defined as the variable restlength . | how are the x and y changed ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | we need to know k and x. k is easy ; it ’ s just a constant , so let ’ s make something up . var k = 0.1 ; x is perhaps a bit more difficult . we need to know the “ difference between the current length and the rest length. ” the rest length is defined as the variable restlength . | on line 130 : line ( 0,0 , v3.x , v3.y ) ; what is the purpose of this ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | the force of a spring is calculated according to hooke ’ s law , named for robert hooke , a british physicist who developed the formula in 1660 . hooke originally stated the law in latin : `` ut tensio , sic vis , '' or “ as the extension , so the force. ” let ’ s think of it this way : the force of the spring is direc... | still what is meant by the extension of the spring ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | so what is basically `` dragoffset '' ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | this reversal of direction is accounted for in the formula with the -1 . and so all we need to do is normalize the pvector we used for the distance calculation ! let ’ s take a look at the code and rename that pvector variable as “ force. ” `` ` var k = 0.01 ; var force = pvector.sub ( bob , anchor ) ; var currentlengt... | in fill/background why is single parameter is used ? |
in the beginning of this section , we looked at modeling simple harmonic motion by mapping the sine wave to a pixel range , and had you model a bob on a spring using that sine wave . while using the sin ( ) function is a quick-and-dirty , one-line-of-code way of getting something up and running , it won ’ t do if what ... | force.mult ( -1 * k * x ) ; `` ` now that we have the algorithm worked out for computing the spring force vector , the question remains : what object-oriented programming structure should we use ? this , again , is one of those situations in which there is no “ correct ” answer . there are several possibilities ; which... | how single parameter fill is different from usual one ? |
academy of san carlos did you know that the first art school in the americas was established in mexico city in the late eighteenth century ? creole artists ( of european descent born in the spanish americas ) in preceding decades had failed to convince the spanish king to create a pedagogical artistic institution . nev... | `` [ 1 ] velasco has produced an image where national pride , romantic poetry , and daily life blend to transform the valley of mexico into a romantic masterpiece . overall , the valley of mexico from the hillside of santa isabel represents an important period in the development of mexico ’ s national identity and an i... | what is the period that the valley of mexico from the hillside of santa isabel represent ? |
academy of san carlos did you know that the first art school in the americas was established in mexico city in the late eighteenth century ? creole artists ( of european descent born in the spanish americas ) in preceding decades had failed to convince the spanish king to create a pedagogical artistic institution . nev... | academy of san carlos did you know that the first art school in the americas was established in mexico city in the late eighteenth century ? creole artists ( of european descent born in the spanish americas ) in preceding decades had failed to convince the spanish king to create a pedagogical artistic institution . | did the first art school in the americas was really established in mexico city ? |
academy of san carlos did you know that the first art school in the americas was established in mexico city in the late eighteenth century ? creole artists ( of european descent born in the spanish americas ) in preceding decades had failed to convince the spanish king to create a pedagogical artistic institution . nev... | in the words of the german poet johann christoph friedrich von schiller , the figures in a landscape must represent “ a humanity reconciled with itself…nature purified , raised to its highest moral dignity ... the ideal beauty applied to real life . `` [ 1 ] velasco has produced an image where national pride , romantic... | why is mexico called `` mexico '' ? |
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . the dimensions of a matrix give the number of rows and columns of the matrix in that order . since matrix $ a $ has $ ... | adding matrices given $ a=\left [ \begin { array } { rr } { 4 } & amp ; 8 \ 3 & amp ; 7 \end { array } \right ] $ and $ b=\left [ \begin { array } { rr } { 1 } & amp ; 0 \ 5 & amp ; 2 \end { array } \right ] $ , let 's find $ a+b $ . we can find the sum simply by adding the corresponding entries in matrices $ a $ and $... | how do matrices actually help in the real world ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | seminoles refused to leave their ancestral lands in florida , sparking the second seminole war in 1835 . seminole chief osceola led the resistance , which proved costly to the united states in terms of both money and casualties . the us army ultimately emerged victorious , however , and forced remaining seminoles out o... | when the chicksaws were eventually paid , was the money they were given adjusted for inflation or did it compensate for the 30 year time difference at all ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | president john quincy adams believed the issue should be resolved peaceably , but georgia again proved an obstacle when they blocked the implementation of voluntary removal of native americans from territories in the southeast united states . it was n't until the presidency of andrew jackson that indian removal became ... | why did jackson ignore the w v ga lawsuit ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . | why georgians tried to prevent the removal of indian tribes for times ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | president john quincy adams believed the issue should be resolved peaceably , but georgia again proved an obstacle when they blocked the implementation of voluntary removal of native americans from territories in the southeast united states . it was n't until the presidency of andrew jackson that indian removal became ... | why was andrew jackson so foolish in this decision ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | the ruling established the nature of relations between the federal government and indian tribes as that between sovereign nations . but president jackson refused to enforce the ruling and pursued a policy of indian removal . the indian removal act of 1830 authorized the voluntary relocation of native american tribes to... | how could president jackson just ignore the ruling ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . | also , was georgia happy when president jackson passed the indian removal act of 1830 ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | president john quincy adams believed the issue should be resolved peaceably , but georgia again proved an obstacle when they blocked the implementation of voluntary removal of native americans from territories in the southeast united states . it was n't until the presidency of andrew jackson that indian removal became ... | was there any way indian lands could be preserved while white settlers came closely to their land ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | of the 17,000 cherokee that were rounded up , at least 4,000—and possibly as many as 8,000—perished. $ ^6 $ what do you think ? how would you characterize andrew jackson ’ s attitude toward native americans ? imagine you were forced to relocate to a distant place or face death . | what were john c. calhoun 's views on native americans ? |
overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | overview us president andrew jackson oversaw the policy of indian removal , which was formalized when he signed the indian removal act in may 1830 . the indian removal act authorized a series of migrations that became known as the trail of tears . the policy of indian removal was devastating to native americans , their... | were there any other indian removal acts that were as harsh as the trail of tears ? |
overview barack obama was the 44th president of the united states and the first african american president in us history . he was elected in 2008 and served two terms . obama came into office during the worst economic crisis since the great depression and authorized a massive economic stimulus package that mitigated th... | overview barack obama was the 44th president of the united states and the first african american president in us history . he was elected in 2008 and served two terms . | does it even matter in a country of equal rights if the president is black or white ? |
overview barack obama was the 44th president of the united states and the first african american president in us history . he was elected in 2008 and served two terms . obama came into office during the worst economic crisis since the great depression and authorized a massive economic stimulus package that mitigated th... | what do you think ? what were president obama ’ s greatest achievements in office ? what were his biggest shortcomings ? | what were the best things that president obama did for america ? |
overview barack obama was the 44th president of the united states and the first african american president in us history . he was elected in 2008 and served two terms . obama came into office during the worst economic crisis since the great depression and authorized a massive economic stimulus package that mitigated th... | after the us withdrawal , the insurgency intensified and the islamic state in iraq and the levant ( isis/isil ) captured major cities in iraq , including mosul and tikrit . although obama had also hoped to end us involvement in the war in afghanistan , the deteriorating security situation ultimately convinced him to in... | i still do n't get why the navy captured and killed osama bin laden.how is that a sucessful in a war , i don 't really get that.can someone please answer my question asap please ? |
just like we can multiply and divide numbers , we can multiply and divide functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f\cdot g $ and $ \dfrac { f } { g } $ . multiplying two functions example let 's look an example to see how this works . given that $ f ( x ) =2... | the input $ n=\dfrac12 $ is not a valid input for this function . this is because $ 2n-1=0 $ at $ n=\dfrac12 $ , and division by $ 0 $ is undefined . let 's try some practice problems problem 1 $ g ( t ) =t^2-4 $ $ h ( t ) =t+8 $ problem 2 $ p ( r ) =5r-2 $ $ q ( r ) =r+2 $ problem 3 $ f ( x ) =x+4 $ $ g ( x ) =x-3 $ a... | so to get an undefined number for the division the function on the bottom must equal zero ? |
just like we can multiply and divide numbers , we can multiply and divide functions . for example , if we had functions $ f $ and $ g $ , we could create two new functions : $ f\cdot g $ and $ \dfrac { f } { g } $ . multiplying two functions example let 's look an example to see how this works . given that $ f ( x ) =2... | the input $ n=\dfrac12 $ is not a valid input for this function . this is because $ 2n-1=0 $ at $ n=\dfrac12 $ , and division by $ 0 $ is undefined . let 's try some practice problems problem 1 $ g ( t ) =t^2-4 $ $ h ( t ) =t+8 $ problem 2 $ p ( r ) =5r-2 $ $ q ( r ) =r+2 $ problem 3 $ f ( x ) =x+4 $ $ g ( x ) =x-3 $ a... | in ( t^2-4 ) / ( t+8 ) why is simplified and we can not resolve to t-0.5 ? |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.