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let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so here the image , just so we can keep track of things . here , the image is real and smaller than the actual object when the actual object is beyond the center of curvature . and actually , let me make it a little bit clearer by drawing . | what will be the image when the object is located at the center of the mirror ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let me just draw the focus right over there . and this is the center of curvature . it 's twice the distance from this point as the focus . | why not the light rays could pass through the center of curvature being the center of the mirror ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let me just draw the focus right over there . and this is the center of curvature . it 's twice the distance from this point as the focus . | what does the center of curvature actually mean ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let 's draw that . so let 's put an object at the focal point . so right over here . | how does a ray of light reflect and pass through the focal point when it 's blocked by an object ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let 's draw that . so let 's put an object at the focal point . so right over here . | sal draws each object a different size ; does that affect the size and orientation of the image , or only the distance from the focal point ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | and the convention is to use an upward pointing arrow . this is n't a light ray . it 's used to show an object . | i dont understand the third diagram ... is the light refracting or reflecting ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | which will be a pretty useful tool when we tackle other types of reflective or refractive devices like lenses . so that 's a parabolic mirror . i 've drawn its principal axis right over here . | so basically , parabolic mirror acts like a concave mirror.right ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | these lines are the hardest thing to do . so parallel incident ray , parallel to the principal axis . this is the principal axis right here . | for the case when the object is at focus , if i draw a ray from the foot of the object in such a way that it appears to pass through the focus and hence after reflection becomes parallel to the principal axis , this ray does not turn out to be parallel to the rays which sal got so , where did i go wrong ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let 's draw that . so let 's put an object at the focal point . so right over here . | sal when you placed the object at the focus and pass line through the mirror and the curvature why you do n't extend the lines so i can see the image virtual as the last example when you placed object closed to focal point ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let me draw . so if this is the mirror , that is the focal point . this right here is the principal axis . | but here the mirror is not transparent , so , how can the reflection pass through the the focal point ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | and this is the center of curvature . it 's twice the distance from this point as the focus . so that is the -- let me make it as close as possible . | why the center of curvature is at the point that is twice the distance from this point as the focus ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . | does anyone else notice the similarities between concave parabolic mirrors and converging ( convex ) lens in terms of image formation ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . | can anyone explain me why c is equal to 2f ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | and then , a ray that goes through the focus will be reflected out parallel . it would be reflected out parallel . and at least for the light that comes from that tip , they will re-converge at that tip . | what would have happened if we had chosen the same analogy you used in the previous example - when the object was exactly at the focus , and we would - draw a ray reflecting from the center of the mirror at an identical angle ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | when it reflects , it will reflect through the focus . and then , let 's take another ray that goes , the incident ray goes through the focus . and when it reflects , it will reflect parallel . | what happens when the incident ray passes through the centre of curvature ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so you can imagine that the incident ray is going to be the same thing as the reflected ray . so you could draw a ray that comes in like that . so this is a departure from what we did before . | this question is bases on the last example : i do n't understand why do you draw the second ray imagining that it comes from the focus ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so if we 're at the focus , a ray that comes out parallel will go through the focal point and come out just like that . and then , here we 're going to -- you ca n't -- we ca n't have a ray that just goes . well , actually we could have a ray that goes through . | and , why ca n't we just keep a screen towards the caving side and let the diverging rays fall on the screen and view the image ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | it goes through another ray . it goes through the focus . and then , it reflects . | how do you determine the focus ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | although the object itself is blocking . but it would look to go in that direction . it would be reflected in that direction . and then , you could imagine a ray of light that would have been coming from the focal point , or would have been coming from the same direction . so you could imagine coming from the same dire... | how did sal choose where the second ray would go ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | and it 's not , it does n't look like it 's diverging from some point in the mirror . so it wo n't even form a virtual image . so here , there will actually be no image when the object is actually at the focal point . | how is the image formed to be real and not virtual , i thought that all images are virtual in mirror whether convex or concave ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let 's draw that . so let 's put an object at the focal point . so right over here . | let 's say the we have two cases based on the basis ... hmm ... that the object is placed b/w c and f. now lets say that we have put the object in both the cases at the same point b/w c and f. if we increase the height of object what will happen ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . | so parabolic mirrors invert images ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | these lines are the hardest thing to do . so parallel incident ray , parallel to the principal axis . this is the principal axis right here . | what happens if rays do n't go through the focus or are parallel to the principal axis or anything ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so it will actually form a real image . it 'll form a real image that is smaller than this original image . it 's not so clear , the way i did it over here . | and also , does a concave mirror magnify or diminish the image ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | and it 's not , it does n't look like it 's diverging from some point in the mirror . so it wo n't even form a virtual image . so here , there will actually be no image when the object is actually at the focal point . | is the virtual image bigger than the object ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | which will be a pretty useful tool when we tackle other types of reflective or refractive devices like lenses . so that 's a parabolic mirror . i 've drawn its principal axis right over here . | is a spherical mirror the same as a parabolic mirror ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | but they look like , to the human brain , to the human eye , they look like they came from that point over there . and so this would correspond to that point on the virtual image . so hopefully , that gives you some practice . | so , would an object located at the focal point simply not be viewable in the mirror ( neither a real nor a virtual image ) ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let me just draw the focus right over there . and this is the center of curvature . it 's twice the distance from this point as the focus . | what is the center of curvature ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | and so now the image is bigger than the original . so the image is real . and it is bigger . | are real images always inverted ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let me just draw the focus right over there . and this is the center of curvature . it 's twice the distance from this point as the focus . | what is the center of curvature ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let 's draw that . so let 's put an object at the focal point . so right over here . | if we have an object , lets say an apple , and the sun is shining on it , at a given point on the apple how many differnet incident rays will we have ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | and then , if you have something that goes through the focus , an incident ray that goes through a focus , it will reflect parallel . so this point will correspond to this point over here . i think that makes it clearer , that this image , the image of this object when it 's reflected by this parabolic mirror will look... | and if we have more than one , what is the reason for different incident rays on a single point ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so in this case , we are forming a virtual image . and the virtual image will actually look something like this . and so it 'll be larger than the original virtual image . | is n't it important to draw the hair-like lines at the back of the mirror to show which is actually the reflection surface ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | so let me just draw the focus right over there . and this is the center of curvature . it 's twice the distance from this point as the focus . | what happens to a ray passing through the center of curvature ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | which will be a pretty useful tool when we tackle other types of reflective or refractive devices like lenses . so that 's a parabolic mirror . i 've drawn its principal axis right over here . | is n't the `` vertex '' of the parabolic mirror called the geometric pole ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . | do spherical mirrors and parabolic mirrors mean the same thing ? |
let 's draw a bunch of parabolic mirrors . and what i want to do in this video is , do a bunch of examples of objects in front of parabolic mirrors . and think about what the images of those objects will be based on how far those objects are . and besides just giving us a better understanding of parabolic mirrors , thi... | and they 'll converge . and the way i 've drawn it , my drawing is n't ideal . but the way , but the reality is , is that they 'll converge so that the image will just be in an inverted same size version as this thing up here . | when drawing a ray diagram , what is the best way to ensure that the mirror shape is accurate ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | what is the definition of marginal benefit ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | can somebody please explain to me what marginal benefits is and give me some examples ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | the way that i 've been talking about it is given a price , how many are we actually going to sell ? what i want to do in this video is think about it the other way around . we 're going to look at the exact same demand curve , the exact same relationship between price and quantity , but we 're going to conceptualize i... | sal gives the p.p.f ( production possiable fruntier ) as an axemple ( ) , where can i find the relevant video ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | : in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | even if there is 1 car why would the customers gets excited to pay $ 60 k ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | so for the 1st unit the marginal benefit would be 60 ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | `` my marginal benefit is lower . '' this is really the same marginal benefit that we talked about when we talked about the ppf , the production possibilities frontier . in that , we talked about it very explicitly in terms of trade off , in terms of opportunity cost . | what are the 4 factors of production ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | would it be fair to say that marginal benefit is psychological satisfaction quantified ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | so the reason for downsloping marginal benefit curve is because of the law of diminishing returns am i right ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | we 're going to look at the exact same demand curve , the exact same relationship between price and quantity , but we 're going to conceptualize it in our heads in a slightly different way . we 're going to think about it in terms of quantity driving price . to think of it that way , imagine that we are the producers o... | what happens in the real world : does price drive quantity , or quantity drive price ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | if marginal benefit is the extra benefit gained by the consumption of one additional unit , should n't the marginal benefit for the second consumer be $ 10000 since the price went down from $ 60000 to $ 50000 per car ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | however , sal states that the marginal benefit for the second consumer is $ 50000 ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | now the same logic . now what if we want to sell three cars ? what if we want to sell three cars a week ? | cars are a bad example for this concept , every dealer has a lot full of other cars ( substitutes ) for competitive prices , so would n't this only work for original and non-readily substitutable products ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | that marginal benefit to the market of that next unit of whatever you are producing . this is a very different way of viewing the exact same demand curve . before we said , `` okay , if we want to price `` it at $ 50,000 , how many are we going to sell ? '' | but was n't the marginal benefit a curve having 2*slope of demand curve and intercept=that of demand curve ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | : in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | what is the benefits of competition and what is the differences between a cartel and a merg er ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | are the demand curve and marginal benefit and demand curve the same ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | when you ask that question you 're like , `` look if you only allowed one car to be sold each week , `` you determine that in that week there `` is going to be somebody , `` somebody 's going to think that it 's worth `` $ 60,000 to buy that car . '' that person , they 're willingness to pay , that person is going to b... | is the first consumer will pay going to pay 60,000 for the first car and the second buyer will pay 50 ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | if we want to go from two to three units , we 're going to have to price it at the marginal benefit of that third unit to the market and it could be the marginal benefit to that next consumer . convincing that next consumer to say , `` hey it is worth it to buy this car . `` let 's price it at $ 40,000 . '' | is the rational consumer constantly striving to maximize his profits or leisure ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | now the same logic . now what if we want to sell three cars ? what if we want to sell three cars a week ? | why would a car dealer want to sell only two or three cars a day ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | so is marginal benefit the benefit that the x+1 consumer gets ( assuming the previous consumer is x ) ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | so you do a market study or you 're able to read people 's minds . you 're like , `` look the third person , `` for the market , the marginal benefit . '' let me write this word down . | so , it seems to me , that the important numbers to look at are , what is the production cost of each widget ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | that marginal benefit to the market of that next unit of whatever you are producing . this is a very different way of viewing the exact same demand curve . before we said , `` okay , if we want to price `` it at $ 50,000 , how many are we going to sell ? '' | so ... does it mean that msb is a y-coordiate of a particular point on the demand curve or something ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | what 's the difference between marginal social benefit and social benefit ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | what is marginal benefit basically ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | `` my marginal benefit is lower . '' this is really the same marginal benefit that we talked about when we talked about the ppf , the production possibilities frontier . in that , we talked about it very explicitly in terms of trade off , in terms of opportunity cost . | what is a production possibility factor ( ppf ) ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | in that , we talked about it very explicitly in terms of trade off , in terms of opportunity cost . here we 're measuring the marginal benefit in terms of price , but price really can be viewed as a foregone opportunity . if you spend $ 40,000 on this car , you 're making the decision not to spend $ 40,000 on something... | how does consumer surplus change if the price gets lower because someone products it for lover price ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | does n't the 'law of diminishing marginal benefit ' work on individuals ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | what does marginal benefit mean ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | as in how is it a marginal benefit for the third buyer and the market ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | is there a mathematically way of calculating marginal benefit ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | is this decrease in what consumers are willing to pay an example of the law of diminishing marginal benefits ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | so what is the marginal benefits tellings us ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | on the other hand , marginal benefit , mb , q determines p. so is it right to say that the x-axis is not always the independent variable ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | we 're going to look at the exact same demand curve , the exact same relationship between price and quantity , but we 're going to conceptualize it in our heads in a slightly different way . we 're going to think about it in terms of quantity driving price . to think of it that way , imagine that we are the producers o... | so in reality , does price dictate quantity ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | is the marginal benefit the price where you can persuade one more person to buy a product ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | why is marginal benefit called marginal benefit ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | what is the meaning of benefit in an economical sense ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | is this marginal benefit curve essentially the demand curve with the point of view of suppliers trying to sell their product ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | i 'm going to leave you there in this video , but what i 'm going to think about is depending on where you price it , let 's say that we decide that we want to sell four units every week . so we say , `` well look , to get that fourth `` person to buy this car , we have to price the car `` at $ 30,000 . '' what we 're ... | how did the people before the $ 30,000 get better deals ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | is marginal benefit the same as marginal utility ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ 60,000 per car , '' this is in thousands of dollars . `` if we price it at $ 60,000 per car , `` we are going to sell one ... | i have a question that the figures shown in x-axis mean the first car , second car , ... .. , or the total number of cars sold ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ 60,000 per car , '' this is in thousands of dollars . `` if we price it at $ 60,000 per car , `` we are going to sell one ... | in other words , it 's $ 60 for one car , $ 50 for 2 cars , $ 40 for 3 cars , or $ 60 for the first car sold , $ 50 for the second cars sold , ... ... .considered with next video , why should we add marginal benefits 1,2,3.. together ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | is the marginal benefit a `` benefit '' to producers or consummers ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | what is marginal benefit and what is marginal utility ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | let me write this word down . the marginal benefit . the marginal benefit for the next unit , the next unit is going to be $ 40,000 . | even though marginal benefit decreases as consumption increases , why does the marginal benefit equal the demand curve ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | we do n't say , `` how many will we sell `` at a price of $ 60,000 ? '' or , `` how much will we sell at a price of $ 50,000 ? '' we 'll go from the point of view of what if we only produce one car a week ? | i do not know how to calculate the following question : student willing to sell tim $ 1 l 30 w 0 r 100 s 150 if the price is $ 140 , total provider surplus ? |
: in all of our conversations about demand curves so far , i 've been generally talking about price driving quantities . so for example , we 've been saying , using say this demand curve right here for a new car in terms of how many would be sold per day , we would say things like , `` well look , if we price it at $ ... | in that , we talked about it very explicitly in terms of trade off , in terms of opportunity cost . here we 're measuring the marginal benefit in terms of price , but price really can be viewed as a foregone opportunity . if you spend $ 40,000 on this car , you 're making the decision not to spend $ 40,000 on something... | b ) what price do you pay for a m3 of water at home ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | the only thing that i can give up is this right over here . and i 'll say , well , i guess k will have to stay undefined . this whole contradiction happened because i attempted to define what x/0 is . | what is the difference between undefined and indeterminate ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | the only thing that i can give up is this right over here . and i 'll say , well , i guess k will have to stay undefined . this whole contradiction happened because i attempted to define what x/0 is . | what is the difference between undefined and indeterminate ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | this is something that we are not willing to contradict . so let 's see what happens : x divided by 0 is equal to k. on the left hand side we have a divide by zero and than multiplied by zero . well then if two things are equal , if i do something to one thing inorder for them to stay equal , i have to do it to the oth... | if any non-zero number divided by zero equals zero , why does n't 0/0 equal zero ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | so let 's start , let 's assume that i have , so this is ... so let 's make a further assumption ... that x is some non-zero number . let 's just say , well , maybe the best way of finding out what x divided by 0 should be , how i should divide it , let 's just assume there is define , and then come up with any results... | why does x have to be a non-zero number ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | but i just hit a contradiction ! i assume that x does not equal to 0 , and now i am being forced to say that x=0 . and i am not willing to give up the idea , i am not willing to give up either of these ideas . | is there any reasoning as to why x can not equal zero , or is it just to enforce other reasoning as to why 0/0 is impossible ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | and once again , i will try to define it . so i will assume ... that 0 divided by 0 is equal to some number . well once again , so let 's say it is equal to k again . | how come 0 to the power of 0 = 1 if 0/0 is undefined ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | and so , once again ... we are trying to do the same logic , so we 'll write 0/0 is equal to k. actually , let me colourcode these zeros . this will be a magenta zero and this is a blue zero right over here . and once again , i am not willing to give up the idea that if i start with a number x , i divide it by somethin... | whatever happened to ; anything divided by zero is zero ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | you feel that if you define some type of division operation , that needs to be undone by multiplication ; this is close to your heart . so you assume ... you want to assume ... you would like to assume that any type of division operation , if you start with some number and if you divide with a number over which ... - d... | why is n't there some type of imaginary number like the square root of -1 ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | now that out of the way ... ok ... this was a situation when x does not equal zero . but what about when x does equal zero . so let 's think about that a little bit . | 0 sal sir defines a formula ( x/y ) * y =x , here it should be noted that y never equals zero , then how can we take the zero ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | so let 's start , let 's assume that i have , so this is ... so let 's make a further assumption ... that x is some non-zero number . let 's just say , well , maybe the best way of finding out what x divided by 0 should be , how i should divide it , let 's just assume there is define , and then come up with any results... | i suppose that < any non-zero number > /0 simply is undefined , but can we say that zero has an infinite number of factors ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | and once again , i will try to define it . so i will assume ... that 0 divided by 0 is equal to some number . well once again , so let 's say it is equal to k again . | and then would 0/0 not really be undefined , but have an infinite number of values/answers ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | so the left i get 0 , i just get this magenta 0 , and on the right i could just write the zero here , but i wo n't simplify it . i get k times 0 . well , this i see right over here ... | how many cookies does each person get ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | so the left i get 0 , i just get this magenta 0 , and on the right i could just write the zero here , but i wo n't simplify it . i get k times 0 . well , this i see right over here ... | divide both sides by 0 and we get 0/0 =k * 0/0 if we substitute k in place of 0/0 i get k = k^2 = > k^2 -k =0 we can simplify this to get k =0 or k=1 i know this is wrong but where am i doing a mistake ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | so this is true true for any k. it 's not a contradiction . but the problem here is i wan na come up with the k , i 'd like a resolve for a k. it would not be nice if this turned out to be 0. if this turned out to be one , or if this turned out to be negative one but now i see , given the assumptions right here this co... | how do i take the ^ ( 2x ) apart and cancel it out with the denominator ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | and once again , i will try to define it . so i will assume ... that 0 divided by 0 is equal to some number . well once again , so let 's say it is equal to k again . | if 0/0 = undefined and 1/0 is undefined then why is any number to the power 0 = 1 ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | the only thing that i can give up is this right over here . and i 'll say , well , i guess k will have to stay undefined . this whole contradiction happened because i attempted to define what x/0 is . | are the terms `` indeterminate '' and `` undefined '' synonymous with `` imaginary ? |
so , once again let 's think of yourself as some type of ancient philosopher/mathematician , who is trying to extend mathematics as much as possible and try to make sure that you 're not being lazy and leaving things undefined , when you might be able to define them . whenever you start extending mathematics , especial... | and once again , i will try to define it . so i will assume ... that 0 divided by 0 is equal to some number . well once again , so let 's say it is equal to k again . | is 0/0 equal to `` i , '' the same way the square root of -1 is ? |
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