Question: Math 252 Week 3 (3) Use the fact that x'dx = 9 to answer the following questions. (a) What is the average value of f(x)

Math 252 Week 3 (3) Use the fact that x'dx = 9 to answer the following questions. (a) What is the average value of f(x) = 12 on [0, 3)? (b) Does f(x) take on its average value on [0, 3]? That is, is there a value c E [0, 3] such that f(c) is equal to the average? If so, find c. (c) Sketch a graph of f(x) = 2 and discuss in your groups if the average value makes geometric sense. ... . : . .. . . . . . " . . : 1 5

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