Unformatted text preview: ) dt 5. Let f ( x ) = Z √ x 2 sin t t dt + x 2 . (a) Find f ( x ) (b) Find f (4) 6. Find a function f and a number a such that for x, 1 + Z x a tf ( t ) dt = x 3 . 7. Find the derivative f ( x ) of the function f deﬁned as follows: f ( x ) = Z x 2 √ 1 + t 2 dt. (a) Find the intervals on which the function f is increasing or decreasing. (b) Find the intervals on which the function f is concave up or concave down....
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 Fall '08
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 Derivative, dt, Convex function

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