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True or False for the following questions: 16) The function f(x) = [x| satisfies the hypothesis of the Mean Value Theorem on [-1, 1]. a)
True or False for the following questions: 16) The function f(x) = [x| satisfies the hypothesis of the Mean Value Theorem on [-1, 1]. a) True b) False 17) Assume that h = go f is a differentiable function. Then f and g must also be differentiable. a) True b) False 18) Using linear approximation at x = 0 to estimate e. would produce an estimate that is larger than the actual value. a) True b) False 19) In general, if f is differentiable and f'(x) > 1, with f(0) = -5 and f(1) = 3, Newton's method can accurately approximate the solution c to the equation f(c) = 0 in fewer steps than the Bisection Method. no a) True b) False 20) Newton's method will always return a good approximation to a root of a function if it exists. a) True b) False
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