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let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so let me make it clear . every continuous function , every continuous f , has an antiderivative capital f of x . t... | no particular time but everywhere in the video , i am thinking what is the difference between a function , written in lower-case f and another written with upper.case f ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | it 's really that right now before we come up with the conclusion of this video , it really just represents the area under the curve between two endpoints . so this right over here , we can say is the definite integral from a to x of f of t dt . now this right over here is going to be a function of x -- and let me make... | why there is a dt there ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . | why would you say continuous from [ a , b ] and not just say continuous from [ a , x ] ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | f ' ( x ) = ( d/dx ) of the integral from 0 to x of ( t^2 ) cos ( x^3-t^3 ) dt ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so let me make it clear . every continuous function , every continuous f , has an antiderivative capital f of x . t... | am i right in thinking that f ( t ) refers to the function f over its entire interval whereas f ( x ) is just interested in f between the values a and b ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so let me make it clear . every continuous function , every continuous f , has an antiderivative capital f of x . t... | why is the antiderivative f ( x ) only equals to f ( x ) instead of the change of f ( x ) or the difference between the upper bound and the lower bound ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | what would happen if we took the derivative of the integral of f ( x ) , would n't it equal f ( x ) ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so this is going to be equal to cosine squared of x over the natural log of x minus the square root of x . you take the derivative of the indefinite integral where the upper boundary is x right over here . it just becomes whatever you were taking the integral of , that as a function instead of t , that is now a functio... | why would i take a derivative of an integral ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . now the cool part , the fundamental theorem of calculus . the fundamental theorem of calculus tells us -- let me write this down because this is a big deal . fundamental theorem -- that 's not an abbrev... | like in what relation can this theorem show relations in calculus as movement , speed , or like what does an anti derivative represent ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so what 's the derivative of this with respect to x ? well , the fundamental theorem of calculus tells us it can be very simple . we essentially -- and you can even pattern match up here . | i understood that second fundamental theorem of calculus can really help us with finding exact area under a curve , but what is this good for ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | but now we see a connection between that and derivatives . when you 're taking the definite integral , one way of thinking , especially if you 're taking a definite integral between a lower boundary and an x , one way to think about it is you 're essentially taking an antiderivative . so we now see a connection -- and ... | why are we taking the derivative of definite integral ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . now the cool part , the fundamental theorem of calculus . | is it like finding how the area changes as x changes ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | what is f ( x ) ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | and actually just to show that we 're including that endpoint , let me make them bold lines , filled in lines . so lower boundary , a , upper boundary , b . we 're just saying and i 've drawn it this way that f is continuous on that . | is it the function of the graph between the upper and lower bound or something else ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | but now we see a connection between that and derivatives . when you 're taking the definite integral , one way of thinking , especially if you 're taking a definite integral between a lower boundary and an x , one way to think about it is you 're essentially taking an antiderivative . so we now see a connection -- and ... | if we take the indefinite integral of the f ( x ) in this example , will that give us the area under the curve of the function between a and x as essentially taking the antiderivative cancels the derivative operator and just gives us the definite integral on the left hand side ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | what for is the dx used in the integral like int ( f ( x ) dx ) ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | and actually just to show that we 're including that endpoint , let me make them bold lines , filled in lines . so lower boundary , a , upper boundary , b . we 're just saying and i 've drawn it this way that f is continuous on that . | is there any change to this theorem if x is used as the lower bound rather than the upper bound ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | but how would you actually apply this right over here ? well , let 's say someone told you that they want to find the derivative . let me do this in a new color just to show this is an example . | i can see the need of finding an expression of the area under a curve between a and x , but why would i want to find the derivative of that expression ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | when the derivative of the integral of some function f ( t ) is taken it is just that same function but with respect to x ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | why does it get such an important title as the fundamental theorem of calculus ? well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so let me make it clear . every co... | also once we do that we evaluate the function at the two endpoints using f ( b ) -f ( a ) to calculate the area under the curve ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | hi , so i 've been reading on these comments that `` t '' is technically a dummy variable and that the function is just `` f. '' so does that mean that the f ( x ) in the theorem is equal to f ( t ) in the original graph drawn ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . now the cool part , the fundamental theorem of calculus . the fundamental theorem of calculus tells us -- let me write this down because this is a big deal . | in other words is the fundamental theorem of calculus saying that the derivative of the area under the curve equals the function of the curve itself ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | can we pretend that the original function f ( x ) we were given is a velocity graph ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | now why is this a big deal ? why does it get such an important title as the fundamental theorem of calculus ? well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so le... | what are the most important prerequisites that a student needs to have before learning calculus ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so let me make it clear . every continuous function , every continuous f , has an antiderivative capital f of x . t... | i still do not understand why the derivative of the integral is equal to f ( x ) when there is a f ( t ) in the integral ... should n't it be equal to f ( t ) ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | it 's really that right now before we come up with the conclusion of this video , it really just represents the area under the curve between two endpoints . so this right over here , we can say is the definite integral from a to x of f of t dt . now this right over here is going to be a function of x -- and let me make... | what does dt or dx that 's written after the notation represent ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | i can still make this y right over there . and let me graph . this right over here is the graph of y is equal to f of t. now our lower endpoint is a , so that 's a right over there . | so , what it 's essentially saying is that the derivative of the function giving the area under a graph is an antiderivative of that graph , right ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , how do we denote the area under the curve between two endpoints ? well , we just use our definite integral . that 's our riemann integral . it 's really that right now before we come up with the conclusion of this video , it really just represents the area under the curve between two endpoints . | so is an definite integral an area under the curve and indefinite integral is an antiderivative ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , how do we denote the area under the curve between two endpoints ? well , we just use our definite integral . that 's our riemann integral . | so according to fundamental theorem of calculus if i pick a 'x ' of a definite integral from -infinity to +infinity it results into indefinite integral ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | it connects differential calculus and integral calculus -- connection between derivatives , or maybe i should say antiderivatives , derivatives and integration . which before this video , we just viewed integration as area under curve . now we see it has a connection to derivatives . | is this saying the derivative of the area under a curve is equal to the y coordinate of the right-most point on the curve ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | it just becomes whatever you were taking the integral of , that as a function instead of t , that is now a function x . so it can really simplify sometimes taking a derivative . and sometimes you 'll see on exams these trick problems where you had this really hairy thing that you need to take a definite integral of and... | so the anti-derivative is really the inverse of differentiation ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so let me make it clear . every continuous function , every continuous f , has an antiderivative capital f of x . t... | would n't the absence of -f ( a ) mean the area is larger than it 's meant to be ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so let me make it clear . every continuous function , every continuous f , has an antiderivative capital f of x . t... | is it correct that sal wrote `` f ( x ) '' should n't it be f ( t ) since the horizontal axis is t ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | but essentially , everywhere where you see this right over here is an f of t. everywhere you see a t , replace it with an x and it becomes an f of x . so this is going to be equal to cosine squared of x over the natural log of x minus the square root of x . you take the derivative of the indefinite integral where the u... | same goes for the derivates respective to x - should n't they be respective to t ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | but essentially , everywhere where you see this right over here is an f of t. everywhere you see a t , replace it with an x and it becomes an f of x . so this is going to be equal to cosine squared of x over the natural log of x minus the square root of x . you take the derivative of the indefinite integral where the u... | like why was the derivative taken in terms of `` x '' and the integral in terms of `` t '' ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . | how to integrate ln ( ln ( cosx ) ) from 0 to 2pi ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | well , it tells us that for any continuous function f , if i define a function , that is , the area under the curve between a and x right over here , that the derivative of that function is going to be f. so let me make it clear . every continuous function , every continuous f , has an antiderivative capital f of x . t... | if i state that : '' every function f ( x ) which comes from applying the fundamental theorem to f ( x ) must also be continuous '' , is it true/false ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | let me do this in a new color just to show this is an example . let 's say someone wanted to find the derivative with respect to x of the integral from -- i do n't know . i 'll pick some random number here . | i do n't think i quite understand how we got that the antiderivative equals the integral from x to a of the function , can someone explain the difference ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . now the cool part , the fundamental theorem of calculus . the fundamental theorem of calculus tells us -- let me write this down because this is a big deal . fundamental theorem -- that 's not an abbrev... | can anyone tell me what a theorem is ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so pi to x -- i 'll put something crazy here -- cosine squared of t over the natural log of t minus the square root of t dt . so they want you take the derivative with respect to x of this crazy thing . remember , this thing in the parentheses is a function of x . | is it possible to take the derivative with respect t of the integral from a to x ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | let me do this in a new color just to show this is an example . let 's say someone wanted to find the derivative with respect to x of the integral from -- i do n't know . i 'll pick some random number here . | why do n't you add a constant to the anti-derivative like you do for all the other integrals ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | do you not need to use the chain rule for the function once you have changed the t to x ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | how do you evaluate values of f ( x ) ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | by definition of indefinite integral in video , we know that f ( x ) means the area under the curve between some point a to x right ? |
let 's say i have some function f that is continuous on an interval between a and b . and i have these brackets here , so it also includes a and b in the interval . so let me graph this just so we get a sense of what i 'm talking about . so that 's my vertical axis . this is my horizontal axis . i 'm going to label my ... | so all fair and good . uppercase f of x is a function . if you give me an x value that 's between a and b , it 'll tell you the area under lowercase f of t between a and x . | is n't d/dx the same as f ' ( x ) ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | we could rewrite it as 15 times a plus b , and so we just have to figure out what a plus b is , and we 'll be able to evaluate this expression . and so , it 's tempting to look up here , and say maybe we can solve for a plus b somehow , but we really ca n't . if we divide -- if we try to factor out a 3 , we 'll get 3 t... | instead of factoring , why ca n't you divide the 3a and the 2 by 3 to isolate the `` a '' ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | let 's try one more . so here we are told that 3a plus 5b is equal to 2 , and then we 're asked what 's 15a plus 15b going to be equal to ? so we might -- let 's see . | we have : 3a + 5b = 2 15a + 15b = ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and so , it 's tempting to look up here , and say maybe we can solve for a plus b somehow , but we really ca n't . if we divide -- if we try to factor out a 3 , we 'll get 3 times a plus 5/3b , so this does n't really simplify things in terms of a plus b . if we try to factor out a 5 , we 'd get 5 times 3/5a plus b is ... | ca n't we just do : 3a = 2 - 5b a = ( 2 - 5b ) / 3 then we plug in a in terms of b into the second equation , which gives : 15 ( 2 - 5b ) / 3 + 15 b = ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and then if i want to solve for x plus y plus z , i just divide both sides of this equation by 3 , and i 'm left with x plus y plus z is equal to 1/3 , and so here , instead of x plus y plus z , i can write 1/3 . so this whole thing simplified to 12 times 1/3 . 12 times 1/3 is the same thing as 12 divided by 3 , which ... | = 3 ( 5a+5b ) = 3 ( 2a+3b+5b ) = 3 ( 2a+2 ) = 6a+6 a = -6/6 a = -1 therefore , -3+5b=2 5b=5 b=5/5 b=1 hence , 15 ( -1 ) +15 ( 1 ) = ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | all i did is i factored the 3 out on the left-hand side . and then if i want to solve for x plus y plus z , i just divide both sides of this equation by 3 , and i 'm left with x plus y plus z is equal to 1/3 , and so here , instead of x plus y plus z , i can write 1/3 . so this whole thing simplified to 12 times 1/3 . ... | how do i evaluate an equation like y+7/x-5=2/3 ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . | um , i was just wondering could n't you do the first problem:3x+3y+3z=1 and 12x+12y+12z= ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | all i did is i factored the 3 out on the left-hand side . and then if i want to solve for x plus y plus z , i just divide both sides of this equation by 3 , and i 'm left with x plus y plus z is equal to 1/3 , and so here , instead of x plus y plus z , i can write 1/3 . so this whole thing simplified to 12 times 1/3 . ... | in the first problem i did n't understand why sal divided 3 from both sides of 3 ( x+y+z ) equals 1. can someone please explain ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | 12 times 1/3 is the same thing as 12 divided by 3 , which is equal to 4 . let 's try one more . so here we are told that 3a plus 5b is equal to 2 , and then we 're asked what 's 15a plus 15b going to be equal to ? so we might -- let 's see . | i think i solved the last one , but i might be wrong : for the last question i was able to do the following 3a + 5b = 2 15a + 15b = ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | we could approach it the way we 've approached the last few problems , trying to rewrite the second expression . we could rewrite it as 15 times a plus b , and so we just have to figure out what a plus b is , and we 'll be able to evaluate this expression . and so , it 's tempting to look up here , and say maybe we can... | would n't 15 ( a+b ) =2 be correct ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | if we divide -- if we try to factor out a 3 , we 'll get 3 times a plus 5/3b , so this does n't really simplify things in terms of a plus b . if we try to factor out a 5 , we 'd get 5 times 3/5a plus b is equal to 2 , but neither of these gets us in a form where we can then solve for a plus b . so in this situation , w... | can i factor out `` 8a+2b+6c= -6 '' by doing 8+2+6 ( a+b+c ) = -6 , eventually getting -2 2/3 for ( a+b+c ) ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and then if i want to solve for x plus y plus z , i just divide both sides of this equation by 3 , and i 'm left with x plus y plus z is equal to 1/3 , and so here , instead of x plus y plus z , i can write 1/3 . so this whole thing simplified to 12 times 1/3 . 12 times 1/3 is the same thing as 12 divided by 3 , which ... | why did sal cross out the expression divided by 3 ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and i 'll give you a few moments to think about that . well let 's rewrite this second expression by factoring out the 12 , so we get 12 times x plus y plus z . that 's this second expression here , and you can verify that by distributing the 12 . you 'll get exactly this right up here . | , i will then factorize the second expression by 4 4 ( 3x+3y+3z ) = ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and so , it 's tempting to look up here , and say maybe we can solve for a plus b somehow , but we really ca n't . if we divide -- if we try to factor out a 3 , we 'll get 3 times a plus 5/3b , so this does n't really simplify things in terms of a plus b . if we try to factor out a 5 , we 'd get 5 times 3/5a plus b is ... | why would you divide by 3 ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | let 's try one more . so here we are told that 3a plus 5b is equal to 2 , and then we 're asked what 's 15a plus 15b going to be equal to ? so we might -- let 's see . | not enough to solve but we can simply i think , 15a+15b = 3a+3a+3a+3a+3a+5b+5b+5b i guess you see know ... 3a+5b = 2 3a+5b = 2 3a+5b = 2 then 2+2+2+3a+3a = ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and so , it 's tempting to look up here , and say maybe we can solve for a plus b somehow , but we really ca n't . if we divide -- if we try to factor out a 3 , we 'll get 3 times a plus 5/3b , so this does n't really simplify things in terms of a plus b . if we try to factor out a 5 , we 'd get 5 times 3/5a plus b is ... | and 5 and 3 for b ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | now , what is 12 times x plus y plus z ? well , we do n't know yet exactly what x plus y plus z is equal to , but this first equation might help us . this first equation , we can rewrite this left-hand side by factoring out the 3 , so we could rewrite this as 3 times x plus y plus z is equal to 1 . | how do i go about breaking down the following algebra equation in order to find y ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | you 'll get exactly this right up here . now , what is 12 times x plus y plus z ? well , we do n't know yet exactly what x plus y plus z is equal to , but this first equation might help us . | why are most variables defined with a lowercase letter , such as `` a '' , `` b '' , or `` x '' ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | well , we do n't know yet exactly what x plus y plus z is equal to , but this first equation might help us . this first equation , we can rewrite this left-hand side by factoring out the 3 , so we could rewrite this as 3 times x plus y plus z is equal to 1 . all i did is i factored the 3 out on the left-hand side . | in the first question , what does factoring out mean ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and then if i want to solve for x plus y plus z , i just divide both sides of this equation by 3 , and i 'm left with x plus y plus z is equal to 1/3 , and so here , instead of x plus y plus z , i can write 1/3 . so this whole thing simplified to 12 times 1/3 . 12 times 1/3 is the same thing as 12 divided by 3 , which ... | can someone explain th ewhole division thing in the first quesiton ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? | evaluate expressions using structure 6a+4b+c=-7 what is -2c -12a -8b -12a-8b-2c -2x 6a+4b+c why do we take ( -2c ) instead of 12a or 8b ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | if we try to factor out a 5 , we 'd get 5 times 3/5a plus b is equal to 2 , but neither of these gets us in a form where we can then solve for a plus b . so in this situation , we actually do not have enough information to solve this problem . so it 's a little bit of a trick . | when you mention there is not enough information , did you mean there are no alternate methods we could use either ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | let 's try one more . so here we are told that 3a plus 5b is equal to 2 , and then we 're asked what 's 15a plus 15b going to be equal to ? so we might -- let 's see . | for the unsolvable problem : 3a+5b=2 15a+15b= ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and so , it 's tempting to look up here , and say maybe we can solve for a plus b somehow , but we really ca n't . if we divide -- if we try to factor out a 3 , we 'll get 3 times a plus 5/3b , so this does n't really simplify things in terms of a plus b . if we try to factor out a 5 , we 'd get 5 times 3/5a plus b is ... | in the second problem , ca n't you just divide both sides of the equation by 3 and then 5 to get a + b ? |
let 's do a few more examples where we 're evaluating expressions with unknown variables . so this first one we 're told 3x plus 3y plus 3z is equal to 1 , and then we 're asked what 's 12x plus 12y plus 12z equal to ? and i 'll give you a few moments to think about that . well let 's rewrite this second expression by ... | and so , it 's tempting to look up here , and say maybe we can solve for a plus b somehow , but we really ca n't . if we divide -- if we try to factor out a 3 , we 'll get 3 times a plus 5/3b , so this does n't really simplify things in terms of a plus b . if we try to factor out a 5 , we 'd get 5 times 3/5a plus b is ... | what is the logic behind factoring out a 3 from 3a+5b=2 that gives us 3 ( a + 5/3b ) =2 ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | and so depending what the interest rates and all of that were , not a big loss or maybe even a minimal loss , and only if there 's a kind of differential with interest rates or things like that , minimal to no loss . but what happens if the central bank runs out of reserves ? remember just the fact that the speculators... | is this how soros 'broke the bank of england ' ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | they have to accumulate this . this is n't their own currency . so they have a finite amount of this . | would n't it increase their country 's competitiveness if their currency gets devalued ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | but what happens if the central bank runs out of reserves ? remember just the fact that the speculators are doing this speculative attack , they 're borrowing in country b and converting to a , that 's making the central bank run out of reserves even faster . it 's going to deplete their reserves . | are there any trading laws or policies that prevent speculative attacks ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | it would devalue if it was left to its own devices , but the central bank of country b is trying to keep it from devaluing by depleting its finite reserves of currency a . so what currency speculators will start to do is , well i can go into country b and i can borrow b 's . so i could literally go to a bank in country... | so the value of currency b drops because the demand for currency b has diminished ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | so we played out a scenario where the central bank of country b actively tries to intervene to keep this from happening , to keep the exchange rate stable , and so what they do is they could use reserves , and i 'll do this in blue for country b , so they could use reserves of a that they have accumulated during better... | what causes the drop in demand ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | well as soon as this happens , and remember this is this scenario right over here that we 're thinking about right over here , this is what the currency speculators want to happen . if one a all of a sudden equals two b 's because the central bank ca n't intervene any more , they are floating , b gets devalued . then w... | and what effect does the balancing of b 's central bank have on the inflation rate to a or b ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | i 'll take my a 's , when i have to pay off my debt in b 's , i 'll take my a 's , convert them into b 's and pay off my debt . and so depending what the interest rates and all of that were , not a big loss or maybe even a minimal loss , and only if there 's a kind of differential with interest rates or things like tha... | will interest rate from imf vary from nation to nation based on same loan ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | it would devalue if it was left to its own devices , but the central bank of country b is trying to keep it from devaluing by depleting its finite reserves of currency a . so what currency speculators will start to do is , well i can go into country b and i can borrow b 's . so i could literally go to a bank in country... | is n't the speculator 's nominal doubling of b 's meaningless if the real value of b 's dropped , as happens with a devaluation of currency ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | and so depending what the interest rates and all of that were , not a big loss or maybe even a minimal loss , and only if there 's a kind of differential with interest rates or things like that , minimal to no loss . but what happens if the central bank runs out of reserves ? remember just the fact that the speculators... | lol ok but how is a private person like george soros supposed to borrow 1 billion british pound from a bank to do his speculation stuff ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | they see , okay look , people are trying to exit this currency . it would devalue if it was left to its own devices , but the central bank of country b is trying to keep it from devaluing by depleting its finite reserves of currency a . so what currency speculators will start to do is , well i can go into country b and... | so what 's the point of purposefull devaluing b ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | and the other scenario is that the central bank runs out of reserves , and they have to essentially just let the currencies float , and b gets devalued . so central bank out of reserves , which would mean that the currencies would float and b would devalue . well if this first scenario happens , and it 's happens , and... | but then the speculators are stuck with a currency ( b ) in a country that will very soon be bankrupt and because they would want to keep their assets liquid they would have to reconvert their currency back into a ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | it would devalue if it was left to its own devices , but the central bank of country b is trying to keep it from devaluing by depleting its finite reserves of currency a . so what currency speculators will start to do is , well i can go into country b and i can borrow b 's . so i could literally go to a bank in country... | why are there more b 's for an a 0 ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | and so depending what the interest rates and all of that were , not a big loss or maybe even a minimal loss , and only if there 's a kind of differential with interest rates or things like that , minimal to no loss . but what happens if the central bank runs out of reserves ? remember just the fact that the speculators... | who is the central bank ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | they have to accumulate this . this is n't their own currency . so they have a finite amount of this . | would n't the exchange rate begin to stabilize once the speculators exchange their `` a '' currency back into `` b '' currency for their profits ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | well as soon as this happens , and remember this is this scenario right over here that we 're thinking about right over here , this is what the currency speculators want to happen . if one a all of a sudden equals two b 's because the central bank ca n't intervene any more , they are floating , b gets devalued . then w... | if more and more citizens of country a buy money b , which leads to a transfer of more money a to central bank b and inflow of more money b into central bank a , would it somehow help central bank b prevent the devaluation of money b ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | they can pay off their debt because they borrowed the 100 b 's , so minus 100 b 's to pay debt , and then they make a pretty sizable profit . they make a profit of 100 b 's . that 's exactly what they 're hoping for , and so you can imagine this is one of those trades that they 're going to try to get more and more peo... | in sal 's example does the currency speculator profit because he/she borrows 100 b 's when the exchange rate is 1 b = 1 a rather than buying 100 b 's ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | so now they 're going to convert back into this direction . and how many b 's can they convert it into ? well now they can convert it into 200 b 's . | therefore even though the b 's the speculator buys back have been devalued , he has twice as many b 's as he borrowed so the speculator has still profited as long as the final value of the b 's still exceeds whatever transaction costs the speculator incurs in the overall process ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | and the other scenario is that the central bank runs out of reserves , and they have to essentially just let the currencies float , and b gets devalued . so central bank out of reserves , which would mean that the currencies would float and b would devalue . well if this first scenario happens , and it 's happens , and... | why central bank of b would borrow more of currency b to foreigners in such times when speculators trying to devalue b ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | scenario one is that for whatever reason the central bank of b is able to keep the currency stabilized . so currency stays stable . and the other scenario is that the central bank runs out of reserves , and they have to essentially just let the currencies float , and b gets devalued . | how to borrow a currency ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | so what currency speculators will start to do is , well i can go into country b and i can borrow b 's . so i could literally go to a bank in country b and borrow some of the b currency , and then i could go to the exchange markets and try to convert it into a 's . just off of looking at that superficially , what 's tha... | how long does it take for the exchange rate to go from say ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | so one way to think of it , they 're adding supply of a 's and they 're also adding demand for b 's . they 're going to sell their reserves of a and buy their own currency . and that would work as long as they have reserves . | also how do speculators know when to buy the currency ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | scenario one is that for whatever reason the central bank of b is able to keep the currency stabilized . so currency stays stable . and the other scenario is that the central bank runs out of reserves , and they have to essentially just let the currencies float , and b gets devalued . | for what extent does borrowing is a choice to stop currency devaluation ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | they have to accumulate this . this is n't their own currency . so they have a finite amount of this . | at 4.27 , is n't the currency b supposed to depreciate instead of devalue ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | so one way to think of it , they 're adding supply of a 's and they 're also adding demand for b 's . they 're going to sell their reserves of a and buy their own currency . and that would work as long as they have reserves . | is the current account deficit preventing turkey from using currency reserves from stabilizing the economy ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | b becomes worth a lot less , and then we go to a future state where one a is now equal to two b 's . well as soon as this happens , and remember this is this scenario right over here that we 're thinking about right over here , this is what the currency speculators want to happen . if one a all of a sudden equals two b... | can we do this right now with the russian ruble ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | : let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | what sort of scale do these attacks have ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | they do n't know who they 're buying these b 's from with this a currency they have . so if this happens , if the central bank runs out of reserves , it floats , and then b devalues , then those currency speculators make a pretty good buck . and just to see how that could work , imagine that they borrow 100 b 's , so t... | are these speculations only on small countries or do speculators just have access to that much capital to make an impact on an entire nation ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | scenario one is that for whatever reason the central bank of b is able to keep the currency stabilized . so currency stays stable . and the other scenario is that the central bank runs out of reserves , and they have to essentially just let the currencies float , and b gets devalued . | what is mean by currency ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | the things devalue . b becomes worth a lot less , and then we go to a future state where one a is now equal to two b 's . well as soon as this happens , and remember this is this scenario right over here that we 're thinking about right over here , this is what the currency speculators want to happen . | but even if you buy 1a for 1 b and you sell 1 a for 2 b ... isnt the b after that just worth 1/2 of the original worth ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | it would devalue if it was left to its own devices , but the central bank of country b is trying to keep it from devaluing by depleting its finite reserves of currency a . so what currency speculators will start to do is , well i can go into country b and i can borrow b 's . so i could literally go to a bank in country... | do the speculators literally have to find someone to lend them b 's as a separate transaction , and then have to turn around and buy a 's , or is the whole thing done as a single transaction in the forex market ? |
: let 's revisit the scenario where everyone is trying to exit country b 's currency and convert it back into country a . we saw in the last video that if , just left to its own devices , if this were to happen , if lot of bs wanted to converted into currency a and because everyone is afraid to convert into b now beca... | they have to accumulate this . this is n't their own currency . so they have a finite amount of this . | why do n't banks just stop lending money when their foreign currency reserves is depleting too dangerously ? |
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