MAC 2311 Midterm: MAC2311 C03 Test 4
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August 6, 2003 (1) (10 pts. ) (a) if f (x) = , nd z f (x) dx. (b) if f (x) = z x. 1 ( + t2) sin-1 t dt, nd f (x). (2) (15 pts. ) Classify each as a maximum or minimum. (f) the in ection points. (g) sketch the graph of y = f (x) (3) (10 pts. ) Use the de nition of the integral as a limit of riemann sums to evaluate the integral z 2. The acceleration function is a(t) = 2t 4. The initial velocity is v(0) = 5. (a) find the velocity function v(t). (b) for the time interval 0 t 10, nd the total distance traveled. (6) (10 pts. ) Find the area under the curve y =
