Chap 4 Problems for Exam 3

Thomas' Calculus, Media Upgrade (11th Edition)

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Math 2253 Review Problems for Exam 3 (Chapter 4) 1. Find the absolute maximum and minimum values of each function on the given interval. a) , 1 ) ( 2 - = x x f 2 1 - x b) x x x f cos 4 2 ) ( + = , ] , 0 [ π 2. Find the extreme values of the function and where they occur. a) 4 2 ) ( 3 + - = x x x f b) 1 ) ( 2 + = x x x f 3. Find the value or values of c that satisfy the equation ) ( ) ( ) ( c f a b a f b f = - - in the conclusion of the Mean Value Theorem for the following functions and intervals. a) ] 1 , 0 [ , 2 3 ) ( 2 + - = x x x f b) ] 3 , 1 [ , 1 ) ( - = x x f 4. Find all possible functions with the following derivative. a) x y 2 = b) 1 2 - = x y c) 1 2 3 2 - + = x x y d) 2 1 sin 2 x x x y + + = 5. Use the Second Derivative Test to find any local extrema of the function a) ) 1 ( 2 ) ( 2 2 x x x f - = b) 4 2 4 ) ( x x x f - = 6. Find the length and width of a rectangle that has the perimeter 100 meters and the maximum area.
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This homework help was uploaded on 01/23/2008 for the course MATH 2253 taught by Professor Pascu during the Fall '07 term at SPSU.

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Chap 4 Problems for - Math 2253 Review Problems for Exam 3(Chapter 4 1 Find the absolute maximum and minimum values of each function on the given

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