A natural cubic spline S is defined by S(x) = { S0(x) = a0 + b0(x...

A natural cubic spline S is defined by S(x) = { S0(x) = a0 + b0(x − 1) + d0(x − 1)3 , if 1 ≤ x ≤ 2, S1(x) = a1 + b1(x − 2) − 3 4 (x − 2)2 + d1(x − 2)3 , if 2 ≤ x ≤ 3. Use S to interpolate data f(1) = 1, f(2) = 1, f(3) = 0, find a0, b0, d0, a1, b1, and d1.

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We have solved the given problem using cubic spline.

Colby Messinger answered 1 year ago

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Question

A natural cubic spline S is defined by S(x) = { S0(x) = a0 + b0(x...

Solutions

Expert Solution

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