MAC 2311 Midterm: MAC2311 S14 Test 4
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April 27, 2014 (1) (15 points) for the function f (x) = The acceleration function is t 5. t 5. a(t) = 2t, the initial velocity is v(0) = 9, the initial position is s(0) = 0. (a) find the velocity function, v(t). Plot the graph for the time interval 0 (b) find the position function, s(t). Classify each as a maximum or minimum. (g) the in ection points. (h) sketch the graph of y = f (x) Calculus 1 page 4 (4) (10 points) for the function f (x) = x x2, evaluate the integral f (x) dx. 0 using a limit of riemann sums: lim n . Calculus 1 page 5 (6) (20 points) evaluate the limit, or say why the limit does not exist. (a) x (cid:18)1 lim. 2 x(cid:19)x (b) lim x x2e x = (7) (10 points) (a) if f (x) = e x2.
