Question: (a) Explain how we know that the given equation must have a root in the given interval. (b) Use Newtons method to approximate the root

(a) Explain how we know that the given equation must have a root in the given interval.

(b) Use Newton’s method to approximate the root correct to six decimal places.

3x* – 8x³ + 2 = 0, [2, 3]

3x* 8x + 2 = 0, [2, 3]

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