use Matlab

Exercise 9.2: Using Matlab write an M-file that does the following: a) Draws the region R between the curves y 3(1-XX)X and y = 1-r fr 0 x 1 9.11 9-Integration b) Assuming the region R (in 9.2a) is a plane lamina of density 1, finds its exact mass using symbolic double integrals. Convert to a numerical value using double. c) Use the quadv command to confirm the answer in b) by numerical calculation d) Uses Matlab to find the exact expressions for the moments of the region R about the x and y axes e) Using d) and either the answer to b) or c) find a numerical approximation to the coordinates of the center of mass of R. (N.B. The symmetry of the region suggests that you should find x = y .) Publish your M-file in PDF. Make sure you indicate by suitable comments what you are calculating in each part. Also, see the note in Exercise 9.1 concerning separation of the output when you publish the M-file. Exercise 9.2: Using Matlab write an M-file that does the following: a) Draws the region R between the curves y 3(1-XX)X and y = 1-r fr 0 x 1 9.11 9-Integration b) Assuming the region R (in 9.2a) is a plane lamina of density 1, finds its exact mass using symbolic double integrals. Convert to a numerical value using double. c) Use the quadv command to confirm the answer in b) by numerical calculation d) Uses Matlab to find the exact expressions for the moments of the region R about the x and y axes e) Using d) and either the answer to b) or c) find a numerical approximation to the coordinates of the center of mass of R. (N.B. The symmetry of the region suggests that you should find x = y .) Publish your M-file in PDF. Make sure you indicate by suitable comments what you are calculating in each part. Also, see the note in Exercise 9.1 concerning separation of the output when you publish the M-file