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1. (a) Evaluate / cos (2x) dx by guessing an antiderivative of cos (2.). (b) Find a formula for / cos (kx) dx where k

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1. (a) Evaluate / cos (2x) dx by guessing an antiderivative of cos (2.). (b) Find a formula for / cos (kx) dx where k is a nonzero constant. (c) Evaluate 10 cos3 (5x) - 4 cos2 (5x) + 1 - dx cos2 (5x) 2. A rock is dropped from the top of a building and hits the ground at a velocity of 72ft/sec. If the acceleration due to gravity is -32ft/sec, what is the height of the building

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