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   ocr: MA 115 FINAL EXAMINATION December 14, 1987 1. Find dy/dx 3 2x a) y - + In(arctan x) 5x - 4 b)y-x(1 + e2x,3/2 c) sin(2x + 3y) = 5 + arcsin 2x d) y-xsin x 4 /x e) y= 3 dx 1 2. Integrate a) sin x/3 dx * Jo % 2v 5 fx + - 4)(x2 + - 4x + - 5)4/3 dx dx c) ln x) x (1 + (2 d) 5X dx Jo dx e) x2