Task 3 (2 points) MAT LA B The set of the following 4 data points is given: 0.5 3 1.1 1 2.5 2 4.5 1.5 (a) Following the procedure in Sec. 6.6.2, determine the quadratic splines that fit the data. Plot the quadratic splines and the original data points in a single figure, in the fashion of the figure in Example 6-7 in textbook. Show your procedure (b) Directly fit the data by a single 3rd-order polynomial that runs through all of the data points. You may use either the method of direct matrix solution (see the introduction of Sec 6.5, pp. 211-212) or the Lagrange interpolation method (Sec 6.5.1). Plot the polynomial and the original data points in a single figure. Show your procedure