Question: Let f(x)=e^x+sin (x)for 0x1 a. Approximate f(0.25) using linear interpolation with x_0=0 andx_1=0.5. b. Approximate f(0.75)using linear interpolation with x_0=0.5 andx_1=1. c. Approximate f(0.25) and

Let f(x)=e^x+sin (x)for 0x1

a. Approximate f(0.25) using linear interpolation with x_0=0 andx_1=0.5.

b. Approximate f(0.75)using linear interpolation with x_0=0.5 andx_1=1.

c. Approximate f(0.25) and f(0.75) using quadratic interpolation with x_0=0 and x_1=0.5 andx_2=1.

Which is the better approximation?

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