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1 151 WebCalc Fall 2002-copyright Joe Kahlig In Class Questions MATH 151-Fall 02 December 5 1. The following if the graph of f 0 (x). The areas are given: A=7, B=12, and C=8. Also f (0) = 3. If there is not enough information to answer the question, then explain what additional information would be needed. (a) f (2) = (b) f (6) = (c) If the function f (x) is only defined on the interval [0, 9], find the absolute maximum and the absolute minimum of the function. This is the graph of the derivative. f 0 (x) (d) If is the velocity of an object and x is time measured in seconds, find the displacement of the object after 9 seconds. (e) If f 0 (x) is the velocity of an object and x is measured in seconds, find the total distance traveled by the object during the first 9 seconds. B A 2 2. Find the derivative of the following. sin(x) Z cos(u2 + 1) + 7u du = (a) g(x) = 7 Z2 (b) g(x) = ln u du = x3 x R2 3. lim x→∞ Z4 4. 0 3tet dt 5x2 ex2 = (3x + 4e4x )dx = 0 Z6 5. (x − 2)(3x + 2)dx = 1 6. Find the area between the function f (x) = (x − 2)(3x + 2) from x=1 to x=6 6