MTH 132 Study Guide - Midterm Guide: Maxima And Minima

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12 Oct 2018
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1: dorothy has thrown a bucket of water, and elpheba (the wicked witch of the west) is melting into a cylindrical pile of green witch-goo. Leave your answer in exact form and show all work: let r( ) = (cos + sin )5 be de ned on [ . 2 ]. (a) find all critical points of r( ). (b) determine whether each critical point gives a local maximum, local minimum, or neither. Find the values of a and b so that ( 1, 1) is an in ection point of f : explain why f (x) = 3x2 + 6x 5 satis es the conditions of the mean value theorem on [0, 3]. This review will provide a good indication of whether you are ready for the exam, but it is by no means a complete list of the types of questions that will be found on the actual exam.

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