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140ae2sp06 - MATH 140 A 1 If y = 2x3 4x and a 10 b 50 c 100...

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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? 3. Find the linearization L ( x ) of f ( x ) = 1 3 + x at a = 0. 4. Find the differential of the function y = x 4 + 2 x . 5. Find the critical number of the function y = 2 x 2 + 20 x . a) 2 b) 0 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]. 7. Find the absolute maximum value of y = p 4 - x 2 on the interval [ - 2 , 2].
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