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Estimate the Value Of 53\sqrt [ 3 ] { 5 }

question 53

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Estimate the value of 53\sqrt [ 3 ] { 5 } by using three iterations of Newton's method to solve the equation x35=0x ^ { 3 } - 5 = 0 with initial estimate x0=2x _ { 0 } = 2 . Round your final estimate to four decimal places.


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