Please solve it by hands, not any programming program. Make your handwriting readable please.

Problem 1 The power generated by a windmill varies with the wind speed. In an experiment, the following five measurements were obtained: 1 2.2 3.4 4.8 6 71 ly 2 2.8 3 3.2 4 5 a) Write the polynomial in Lagrange form that passes through the points; then use it to calculate the interpolated value of y at x 5.4 b) Write the polynomial in Newton's form that passes through the points; then use it to calculate the interpolated value of y at x 5.4 y