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x 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 y 20.08 22.2 24.53 27.12 29.96 33.11 36.6 40.45 44.7 49.4 Using cubic splines

x 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9
y 20.08 22.2 24.53 27.12 29.96 33.11 36.6 40.45 44.7 49.4

Using cubic splines based on the Lagrange interpolation formula:

i) estimate derivative at x=3.45. Compare with the estimate with derivative of ex at x=3.45.

ii) Estimate area under the curve from 3.3 to 3.6. Compare with3.33.6exdx

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