Prelim 1 Solutions V2 Math 1120
0 +[−cosx−sinx] 5π 4 π 4 = 3 √ 2−1 Problem 4) (10 Points) Let G(x) = Z x 0 p 3+(1+t)3 dt and F(x) = 2cosx+ Z 0 x2+3x p 3+(1+t)3 dt 4a) Calculate the derivative G0(x). 4b) Calculate F0(x). Solution: a) G0(x) = p 3+(1+x)3 b) F(x) = 2cosx+ Z 0 x2+3x p 3+(1+t)3 dt = 2cosx− Z x2+3x 0 p 3+(1+t)3 dt = 2cosx−G(x2 +3x) so applying the ... ................
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