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Please show all work so I can follow along. Thank you. Let f(x) = -x3+ 3x+4. a) Use the Intermediate Value Theorem to show that

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Please show all work so I can follow along. Thank you.

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Let f(x) = -x3+ 3x+4. a) Use the Intermediate Value Theorem to show that f(x) has a zero in the interval [2, 3]. b) Use Newton's method to estimate the zero in part (a). Start with the initial guess X = 2 , and find X2

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