2. Let g(x) = sin . e3x) f(x) , where the graph of f(x) is shown...

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2. Let g(x) = sin . e3x) f(x) , where the graph of f(x) is shown below. (a) (12 points) Find g'(1). 4 3 2 (1,2) 1 (0.51) (1.5,3) 0.5 1 1.5 2 (b) (8 points) Use a linear approximation and your answer from part (a) to estimate g(1.02). 2. Let g(x) = sin . e3x) f(x) , where the graph of f(x) is shown below. (a) (12 points) Find g'(1). 4 3 2 (1,2) 1 (0.51) (1.5,3) 0.5 1 1.5 2 (b) (8 points) Use a linear approximation and your answer from part (a) to estimate g(1.02).