Question

For the following exercises, find the local and/or absolute maxima for the functions over the specified domain. 128. y = 4 sin - 3 cose over [0, 21) For the following exercises, show there is no c such that f(1)-f(-1) = f'(c)(2). Explain why the Mean Value Theorem does not apply over the interval [-1, 1). 168. f For the following exercises, determine a. intervals where f is increasing or decreasing, b. local minima and maxima off, C. intervals where f is concave up and concave down, and d. the inflection points of f. Sketch the curve, then use a calculator to compare your answer. If you cannot determine the exact answer analytically, use a calculator 240. f(x) = 4*, x = 0 For the following exercises, interpret the sentences in terms of f, f', and f". 244. Stock prices are at their peak. Here f is the stock price. (5) (10 points) You are told that f(x) is a function defined for all *+-1, and that its first and second derivatives are, respectively, 2+2 -3 = -2 ST12F+1) .(a, 4 pts) Find the critical points of f(x), and, for each one, determine if it is a local minimum, local maximum, or neither. . (b, 3 pts) Determine the intervals on which f is increasing or decreasing . (c, 3 pts) is the graph of y = f(x) concave up or down on the interval (0,10)? Explain how you know

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Answer 1

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