Please write this MATLAB AND PLEASE ANSWER ALL THE PARTS

1) 1D DOMAIN INTERPOLATION Using the following data 4 6 12 0 5 2 10 8 18 10 18 14 35 16 42 2. 21 15 30 3 Interpolate using the following methods on a finder x vector, x (0,16), Ax = 0.1 a) Matlab's built-in "nearest" method. Save the resulting vector on HW5_1.dat b) Matlab's built-in "linear" method. Save the resulting ector on HW5_2.dat c) Matlab's built-in spline method. Save the resulting vector on HW5_3.dat d) A "nearest" method written by you. Save on HW5_4.dat e) A "linear method written by you. Save on HW5_5.dat