3x4 - 8x + 5 = 0, [2, 3] (a) Explain how we know that the given equation must have a solution in the given interval. Let f(x) - 3x - 8x + 5. The polynomial f is continuous on [2, 3], (2) = < 0, and f(3) = > 0, so by the Intermediate Value Theorem, there is a number c in (2, 3) such that f(c) =| . In other words, the equation 3x" - 8x + 5 = 0 has a solution in [2, 3). (b) Use Newton's method to approximate the solution correct to six decimal places.

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A: The solution are next step

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A: By sketching the graph

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A: Topic = Functions

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A: