PHYSICS 104 Midterm: PHYS 104 UW Madison sol2s02
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Math 222 (lectures 1,2, and 4) fall 2015. Problem 1 problem 2 problem 3 problem 4 problem 5. Problem 6 problem 7 problem 8 problem 9 problem 10. For example, please write cos(arcsin x) = 1 x2. Note that we have provided some formulas on the next page to help with this. You may freely quote any algebraic or trigonometric identity, as well as well as any of the following formulas or minor variants of those formulas. Taylor series: t, t, t, t, t, t. 1 xk k! (2k)! ex =p k=0 sin x =p k=0( 1)k x2k+1 cos x =p k=0( 1)k x2k. 1 (2k+1)! k(cid:1)xk where (cid:0)b k(cid:1) = b(b 1)(b 2) (b k+1) k: sin(2 ) = 2 sin cos , cos(2 ) = cos2( ) sin2( , limn n )n = e. (1 + 1, for each statement below, circle true or false. You do not need to show your work. (a) (b) (c) (d) (e)
