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Unformatted text preview: Is there a function (deFned for x > 0) whose derivative is the following function? f ( x ) = x 3 + x, x > ( Explain your answer: give a reason why there is no such function or state a theorem which tells us that there is such a function. ) CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 1 due 9/1 or 9/2 3 3. The following is a sketch of a function f ( s ), for 0 s 4. Let g ( t ) = i t f ( s ) ds for 0 t 4. (a) [5 points] What is g (1)? (b) [5 points] Find the values of t in the interval [0 , 4] where g attains its absolute (global) maximum and absolute minimum. (c) [5 points] Find all values of t in the interval (0 , 4) where g has points of inection (that is, its second derivative changes sign). THIS IS THE LAST PAGE....
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