FinalMC2005

Calculus: Early Transcendental Functions

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1. If y 2 3xy = 18, then dy ccccccc dx at the point H 1, 3 L is H A L 1 H B L 0 H C L 1 H D L 4 cccc 3 H E L 8 cccc 3 2. The equation of the line tangent to the curve y = kx + 8 cccccccccccccccc k + x at x =− 2i sy = x + 4. The value of k is H A L 3 H B L 1 H C L 1 H D L 3 H E L 4 3. If f ± H x L = 3 x 2 and f H 2 L = 1, then find 0 2 f H x L dx H A L 2 H B L 4 H C L 9 H D L 16 H E L 22 4. The figure below shows the graph of the acceleration of an object moving on the x axis as a function of time. Assume that v H 0 L = 0. Among the 5 marked points, which time corresponds to the greatest speed of the object? t a H t L A B C D E a H t L H A L A H B L B H C L C H D L D H E L E 5. Find lim x 1 4 ccc x 4 ccccccccccccccc x 1 H A L 4 H B L 1 H C L 1 H D L 4 H E L Does not exist 6. If y = f H x 3 L and f ± H x L = è!!!!!!!!!!!!!!! 3 x 2 then dy cccccc dx is equal to H A L è!!!!!!!!!!!!!!!!! 9 x 2 2 H B L x 3 è!!!!!!!!!!!!!!!!! 3 x 3 2 H C L 3 x 2 è!!!!!!!!!!!!!!!!! 9 x 2 2 H D L 3 x 2 è!!!!!!!!!!!!!!!!! 3 x 3 2 H E L 18 x 3 è!!!!!!!!!!!!!!!!! 9 x 2 2 7. Determine which of the following is not true for f H x L = a x ,a > 1 H A L f H 0 L = 1 H B L f H 1 L = 0 H C L lim x →−∞ f ± H x L = 0 H D L lim x →∞ f H x L =∞ H E L lim x f ± H x L 8. If f H x L = x 3 + 8, and g H x L is the inverse function of f, then g ± H 0 L is equal to H A L 1 12 H B L 1 3 H C L 1 cccc 3 H D L 1 cccccc 12 H E L Not enough information to determine g ± H 0 L
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9. Suppose that f and g are continuous functions, and that 1 3 f H x L dx = 10, 1 3 g H x L dx = 2, 1 3 f H x L dx = 1, and 1 3 g H x L dx = 8, then find 1 1 H 2f H x L g H x LL dx H A L 12 H B L 18 H C L 24 H D L 36 H E L Not enough information is given 10. Suppose f H x L = è!!!!!!!!!!!!
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FinalMC2005 - 1. If y2 3 x y = 18, HA L 1 2. then HBL 0 dy...

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