MAT 16A Final: 16A-WQ08 - Exam
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You may not use books, notes, calculators, or cell phones on this test. Make sure you answer every part of each problem. Good luck! (scratch page: continuity (60 points) For each of the following functions, state: the range, the inter- val(s) on which the function is continuous, and for each disconti- nuity whether or not the discontinuity is removable. (60 points, 81 x: find the average rate of change of p on the interval [1, 9]. (10 points, find a formula for the marginal pro t. What is the marginal pro t for x = 9? (15 points) (b) a sphere of radius 3 has its radius changing at a rate of 4 inches per second. How quickly is the volume of the sphere changing? (20 points: derivative tests (50 points) (a) apply the second-derivative test to nd the relative extrema of f (x) = x3 3x2 + 1.
