221-borisov-07sp02

221-borisov-07sp02 - Midterm Exam 2, Friday, March 30,...

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Unformatted text preview: Midterm Exam 2, Friday, March 30, 2-007 LeV'Borisov, Math 2219 Lecture Section 1 DO NOT OPEN THE-EXAM BEFORE THE START ANNOUNCEMENT 1 Please write your name and your TA’s name below. Name: V TA: Each problem is worth 20 points, for a total of 100 points. Cal- culators are not allowed on this test. Please read each question carefully) it also helps to check afterwards that you have answered each part of each question. You must Show all your work tO- receive credit. When you turn in your paper after the test, make sure the TA checks your name in their list or writes your name down} Good luck! ' [1] Calculate derivative. of M) : WQWCOSW). sin :1: You do not need to simplify. Please eave blank! [2] Find the tangent line to the curve ycosx—i—svsiny = cc — 7r at the point (7r, 0). Please ieave blan '! [3] A function f is even and has derivative f’ = 352:1. Find the critical points of f (as) and its intervals of increase and decrease. Find inflection points areregions of concavity. State which critical points are local minimums or maximums. Finally, sketch the graph of f(:z:), assuming that f(0) = 1. Please leave blank! Calculate the following limit , COS(% cost) hm t—+0 s1n(sm t) L [4] (20 pts) 1 Please leave blank! {5] Find the value of a: for which the sum 20 2(2: + k)2 [6:1 is minimum or show that no such :6 exists. You must justify your answer. Please eave blank! ...
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221-borisov-07sp02 - Midterm Exam 2, Friday, March 30,...

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