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17. Functions f, g, and h are twice-differentiable functions with g(3) = h(3) = 5. The line y = 5 + (x - 3) is

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17. Functions f, g, and h are twice-differentiable functions with g(3) = h(3) = 5. The line y = 5 + (x - 3) is tangent to both the graph of g at x = 3 and the graph of h at x = 3. a. Find h' (3). b. Let a be the function given by a(x) = 2x3h(x). Write an expression for a' (x). Find a' (3). c. The function h satisfies h(x) = x2-9 1-(f(x) )3 for x #* 3. It is known that lim h(x) can be evaluated * -3 using L'Hospital's Rule. Use lim h(x) = 5 to find f(3) and f'(3). Show the work that leads to your answers

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