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[4] 1. Consider the following function f(x) = 1+2. (a) Find the linear approximation at a = 1. (b) Use this linear approximation to

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[4] 1. Consider the following function f(x) = 1+2. (a) Find the linear approximation at a = 1. (b) Use this linear approximation to estimate 0.95, and 1.05. 2. Determine f'(x) for the following function. Do not simplify your answers. Final answers must be functions of x. (a) f(x) = 3 (cos x 9 lnr). [4] [4] (b) (x) = 6 In(3 sin x) 15x2 [4] (c) f(x) log-x

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