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# DIFFERENTIAL CALCULUS M 408K

UT

GPA 3.67

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This 38 page Class Notes was uploaded by Reyes Glover on Sunday September 6, 2015. The Class Notes belongs to M 408K at University of Texas at Austin taught by Staff in Fall. Since its upload, it has received 47 views. For similar materials see /class/181498/m-408k-university-of-texas-at-austin in Mathematics (M) at University of Texas at Austin.

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Date Created: 09/06/15

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of a rectangle surmounted by a semicircle If the perimeter of the Window is 30 nd the length of the base that Will allow the Window to admit the most 39ght 3 A trailer rental agency rents 18 trailers per day at a price of S 18 per day It discovers that for each 3 increase in price one fewer trailer is rented Determine the price pmX W 39ch maximizes the rental income This is a graph ofthe function fx x3 7 2x7 5 A Use Newton s Method starting with the value x0 2 to approximate the root of f x Only complete one iteration of Newton s method finding x1 B Using the graph above sketch a drawing of how the approximation in part A is obtained You may need to exaggerate the features of the graph to have a clear sketch C x0 is less than the real root of fx ls x1 greater or less than the real root of fx What about x2 5 Find ft when f 39t 3sec2 litji sint and f15 6 Find the value of f7l when fquott6174 and f39l5 fl2 7 A car is traveling 60 mihr when the brakes are fully applied skidding the car to 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