For Problems, find the natural cubic splines that pass through the given data points...

For Problems, find the natural cubic splines that pass through the given data points. Use the splines to answer the requirements.

a. Estimate the derivative evaluated at x = 3.45. Compare your estimate with the derivative of e^x evaluated at x = 3.45.

b. Estimate the area under the curve from 3.3 to 3.6. Compare with