Question: 3x4-8x3+3=0,[2,3](a) Explain how we know that the given equation must have a solution in the given interval. >0,soby the Intermediate Value Theorem, there is a

3x4-8x3+3=0,[2,3](a) Explain how we know that the given equation must have a solution in the given interval. >0,soby the Intermediate Value Theorem, there is a number cin(2,3) such that f(c)=,.In other words, the equation 3x4-8x3+3=0 has a solution in[2,3].(b) Use Newton's method to approximate the solution correct to six decimal places.x=

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