solve and show solutions of the algorithms useing the three methods and which method to use and why and to check each method with the three the answers are on the bottom to make sure the question is correct use disk washer and shell method to make sure each method is the same answer

3. a. Sketch the region, R, bounded by y=4x-x and y = x. b. Algebraically find the points of intersection of the two graphs. c. Find the area of the region R d. Find the volume of R if it is revolved about each of the following lines. In each case, show a representative strip, state the method, set up the integral and show all work. i. the x-axis ii. the y-axis iii. the line x=5 iv. the line y=-1