From some scientific experiments, the following set of data is available

(1.0, 2.33),(2.0, 0.0626),(3.0, −2.16),(4.0, −2.45),(5.0, −0.357),(6.0, 2.21),(7.0, 2.75),(8.0, 0.636),(9.0, −2.45).

We need to use least squares method to fit the curve to the data

y = a + b cos(x) + c sin(x) + d cos(2x) + e sin(2x)

Show your solution procedure in Maple and get the best fit for the coefficients. Finally

plot the data and the y curve together on the same graph to visualize the fitting. For the

data, use blue circles while for the y curve, use red solid line style. Use the leastsquares

command we learned in LinearAlgebra package.