Estimate the change in volume of a right circular cone

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Reference no: EM131015350

1. Use Nekton's method and the function f(x) = xn - a to show that the general rule for approximating x = n√a is {(n - 1) xnn + a} / nxnn-1.

2. Use the linear approximation to estimate the change in volume of a right circular cone of fixed height h = 4m when its radius increases from r = 3m to r = 3.05m [v(r) = πr2h/3].

3. Find two positive numbers x and y such that "The sum of the First number squared and the Second number is 54 and the product of x and y is as large as possible.

Reference no: EM131015350

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