S(x) is a cubic spline for the function f(x) = sin(pi x/2) + cos(pi x/2) at...

S(x) is a cubic spline for the function f(x) = sin(pi x/2) + cos(pi x/2) at the nodes x_{0 ⁼} 0 , x₁ = 1 , x₂ = 2

and satisfies the clamped boundary conditions. Determine the coefficient of x³ in S(x) on [0,1] ans. pi/2 -3/2

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Expert Solution

Colby Messinger answered 1 year ago

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