Question: 16. Suppose that f has a continuous second derivative for all x, and that f(0) = 1, f'(0) = 2, and f(0) = 0.

16. Suppose that f has a continuous second derivative for all x, and that f(0) = 1, f'(0) = 2, and f"(0) = 0. A. Does f have an inflection point at x = 0? Explain your answer. B. Let g'(x)=(3x + 2)f(x) + (x3 + 2x + 5)f'(x). The point (0,5) is on the graph of g. Write the equation of the tangent line to g at this point. C. Use your tangent line to approximate g(0.3). D. Find a"(0).

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