MATH 222 Midterm: MATH 222 UW Madison Midterm 2b Solutions

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31 Jan 2019
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Math 222 (lectures 1,2, and 4) fall 2015. Circle your ta"s name from the following list. Please inform your ta if you nd any errors in the solutions. Problem 1 problem 2 problem 3 problem 4 problem 5 problem 6 problem 7. All other problems worth 15 points: no calculators, books, or notes (except for those notes on your 3 inch by 5 inch notecard. , please simplify any formula involving a trigonometric function and an inverse trigonometric function. For example, please write cos(arcsin x) = 1 x2. Note that we have provided some formulas on the next page to help with this. Formulas xk k! (2k+1)! k=0: t ex = p k=0( 1)k x2k+1, t sin x = p k=0( 1)k x2k, t cos x = p k=0 xk. 1+x = p : t k=0(cid:0)b, t (1 + x)b = p (2k)!