MAC 2311 Midterm: MAC2311 F93 Test 5
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Instructions: do not write your answers on this paper, use separate answer sheets. 0 t 5. (c) sketch a graph of acceleration (a(t) = v (t)) for 0 t 5. (d) sketch a graph of distance traveled s(t) against time t (assume s(0) = 0). Pay careful attention to concavity! (3) (20 points) figure 3 shows the graph of y = v(t), where v(t) is the velocity function for a ball dropped from an altitude of 2000 feet above the ground. 3 (6) (10 points each) find the derivatives of the following functions. (a) y = sin5 x. 1 + e2x (b) y = (2 x2)tan 1( x) (7) (5 points) find the inverse function to f (x) = (1. 45)x. (8) (5 points each) evaluate the limits: (a) lim x 0 (b) lim x sin x x xe x. You can average 1 mile per hour in your boat and 4 miles per hour walking along the shore.
