Use the Newton-Raphson method to determine an improvement on the initial estimate of the root in the

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Use the Newton-Raphson method to determine an improvement on the initial estimate of the root in the following cases.

a. f (x) = ex − 4 from initial estimate x0 = 1.5.

b. g(x) = x3 − 2x − 4 from initial estimate x0 = 2.5.

c. h(x) = ln(x) − 2 from initial estimate x0 = 8.

d. k(x) = ln(x3) − 5 from initial estimate x0 = 5.5.

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