3. 3. Sicetch the regitors ( R ) b unded by ( y=4 x-x^{2} ) and,( a x ). d. Find the valume of ( mathrm{R} ) if it is revolved abour each of the tollowing kres. in cak case, show a representative strip. state the method, set up the antegral and whotes all warts 4. the tivis ili. the linex ( =5 ) 11. Whe line yy ( =-1 )

3. a. Sketch the region, R, bonded by y=4x-x and b. Algebraically find the points of intersection of the two graphs c. Find the area of the region 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 L the axis the y-axis L the time xS b. the line