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# D a function f is decreasing on an interval a b if

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(d) A function f is decreasing on an interval ( a , b ) if whenever a < x 1 < x 2 < b . (e) A function f is increasing on an interval ( a , b ) if whenever a < x 1 < x 2 < b . ______________________________________________________________________ 6. (5 pts.) Find the following limit by interpreting the expression as an appropriate derivative. lim w 2 3 sec 1 ( w ) π w 2 ______________________________________________________________________ 7. (5 pts.) Suppose the side of a square is measured to be 10 inches with a possible error of ± 1/32 inch. Estimate the error in the computed area of the square by using differentials. [You may leave your result as a fraction. You do not have to convert to decimal form.]

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TEST3/MAC2311 Page 4 of 5 ______________________________________________________________________ 8. (8 pts.) Assume f is continuous everywhere. If f ( x ) x ( x 2) 4 find all the critical points of f and at each stationary point apply the second derivative test to determine relative extrema, if possible. If the second derivative test fails at a critical point, apply the first derivative test to determine the true state of affairs there. ______________________________________________________________________ 9.
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d A function f is decreasing on an interval a b if whenever...

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