MAC 2311 Midterm: MAC2311 S11 Test 4
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On the time interval 0 t 10, the velocity function is given by t. For the function f (x) = (8 x2)x2 = 8x2 x4, nd the following. (a) the intervals of increase or decrease. (b) the intervals of concavity. (c) the local extrema. Classify each as a maximum or minimum. (d) the in ection points. (e) sketch the graph of y = f (x) Alice and bob begin walking north from the south end of main. Alice is on the east side and continues to walk at 8 ft/s. Bob is on the west side and continues to walk at 6 ft/s. 2 x 6 if 0 x < 3 if 3 x < 5 if 5 x 6 f (x) = (b) z 5. 3 (a) sketch the graph of y = f (x) over the interval 0 x 6. (b) evaluate the following integrals. (a) z 3. 0 f (x) dx f (x) dx (c) z 6.
