140ae2sp06 - MATH 140 A EXAMINATION II, FORM A SPRING 2006...

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Unformatted text preview: MATH 140 A EXAMINATION II, FORM A SPRING 2006 1. If y = 2 x 3 + 4 x and dx dt = 5, find dy dt when x = 1. a) 10 b) 50 c) 100 d) 200 e) 270 2. Two cars start moving from the same point. One travels south at 30 mi/h and the other travels east at 40 mi/h. At what rate is the distance between the cars increasing 1 hour later? a) 60 mi/h b) 55 mi/h c) 42 mi/h d) 45 mi/h e) 50 mi/h 3. Find the linearization L ( x ) of f ( x ) = 1 3 + x at a = 0. a) L ( x ) =- 1 3 + x 6 3 b) L ( x ) = 3- 6 3 x c) L ( x ) = 1 3 + x 6 3 d) L ( x ) = 1 3- x 6 3 e) L ( x ) = 3 + x 4. Find the differential of the function y = x 4 + 2 x . a) dy = ( x 3 + 2) dx b) dy = (4 x 4 + 2) dx c) dy = (4 x- 2) dx d) dy = (4 x 3 + 2) dx e) dy = ( x 5 + x 2 ) dx 5. Find the critical number of the function y = 2 x 2 + 20 x . a) 2 b) c)- 5 d) 20 e)- 10 6. Find the absolute minimum value of y = 5 x 2- 30 x +4 on the interval [0 , 4]. a) 3 b)- 41 c) 30 d)- 45 e)- 30 7. Find the absolute maximum value of y = p 4- x 2 on the interval [- 2 , 2]. a) 1 b) 2 c) 3 d) e) 4 8. Find the exact values of the numbers c that satisfy the conclusion of The Mean Value Theorem for the function f ( x ) = x 3- 4 x for the interval [- 4 , 4]....
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This note was uploaded on 08/10/2008 for the course MATH 140A taught by Professor Rowell,michael during the Spring '07 term at Pennsylvania State University, University Park.

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140ae2sp06 - MATH 140 A EXAMINATION II, FORM A SPRING 2006...

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