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Unformatted text preview: MAC2233 Test 2 A (7 pts) 1. The equation of the tangent line to the function y = √ x 2 + 3 x at x = 1 is given by: A. y = 3 4 x + 5 4 B. y = 7 4 x + 1 4 C. y = 5 4 x + 3 4 D. y = 1 4 x + 7 4 E. y = 9 4 x 1 4 (7 pts) 2. If f ( x ) = x +1 x 2 +1 , then f (2) is equal to: A. 9 25 B. 7 25 C. 6 25 D. 7 5 E. 6 5 (7 pts) 3. If f ( x ) = x ( x 2 + 2) 2 , then f 00 ( x ) is equal to: A. 20 x 3 +6 x 2 +12 x B. 10 x 3 +6 x 2 +12 x C. 20 x 3 +4 x 2 +24 x D. 10 x 3 +12 x E. 20 x 3 +24 x (7 pts) 4. Given x 3 + 2 xy = y 2 4, the equation of the tangent line to the curve at (2 , 2) is given by: A. y = x B. y = 1 2 x 3 C. y = 1 2 x 1 D. y = 2 x 6 E. y = 2 x + 2 (7 pts) 5. If y = x 2 8 x + 2 √ x , then the value of dy when x = 4 and dx = 0 . 1 is given by: A. 0.05 B. 0.15 C. 0.005 D. 0.015 E. 0.10 (7 pts) 6. If f ( x ) = ( x + 2) 3 ( x 1) 5 , then f (0) is equal to: A. 20 B. 22 C. 24 D. 26 E. 28 (7 pts) 7. Which of the following are not rules used for differentiating functions: I. for c a constant, d dx c = 0 II....
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 Spring '08
 Smith
 Calculus, Pythagorean Theorem, pts, triangle, Miles per hour, Yoyo

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