MATH 1120 Midterm: MATH 1120 Cornell pexam21
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Please show your reasoning and all your work. 2 (cos (u v) + cos (u + v)) 2 (cos (u v) cos (u + v)) Error m (b a)3 n and m is an upper bound of |f (x)| on [a, b]. + 2yn 2 + 4yn 1 + yn) where h = b a n and m is an upper bound of |f (iv)(x)| on [a, b]. Problem 1) (35 points) evaluate the following: (and please don"t forget the "+c". ) 1a) (5 points) z x sin (5x) dx. 1e) (7 points) z x2 sec4 (x3) dx. 1f ) (8 points) z x2 1 x2 dx. Problem 2) (10 points) find the general solution of the di erential equa- tion x2 dy dx xy = x3e 2x + x2. Problem 3) (8 points) it is desired to approximate r 8.
