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Shade in the described region. Use one or more integrals to represent the area of the region. Show all work finding the limits of integration when indicated. Do not evaluate the integrals!

III. VOLUMES OF SOHDS DF REVOLUTION For each problem: Determine which drawing best represents the solid of revolution generated by the region about the given axis. Write the corresponding letter in the box labeled '3D Drawing". IF you are using Disn, draw and label a typical disc for each volume you are finding. Label the radius with R or r and the corresponding expression. Label the thickness of the disc with either But or by. IF you are using Washers, draw and label a typical washer. Label the outer radius with R, the inner radius with 1', mid write down the corresponding expression for each radius. Label the thickness of the washer with either A: or by. Write down an integral or a combination of integrals to represent the volume of the solid of revolution using discsvashers. Draw and label a typical cylindrical shell with the height and radius of the shell with h and r {and their corresponding expressions}, as well as thickness of the shell wall with either :11 or y. Write down an integral or a combination of integrals to represent the volume of the solid of revolution using cylindrical shells. Simplify each integrand completely. Do not evaluate the Imlsl NOTE: Use integrals to set up every volume do not use known volume formulas for geometric solids (like cones, sphem, cylinders, ...) to take shortculs. Theregionisboundedby: 2 y=ZJ. y=; .x=3,cmdy=0 The point of intersection for these functions in Quadrant I. is (1. 2). [1] Axis of revolution: the x - axis 3D Drawing Draw and Label Draw and Label Discs/Washers Here: Cylindrical Shell Here: DISC/WASHER INTEGRAL(S) CYLINDRICAL SHELL INTEGRAL(S) [2] Axis of revolution: the y - axis 3D Drawing Draw and Label Draw and Label Discs/Washers Here: Cylindrical Shell Here: DISC/WASHER INTEGRAL(S) CYLINDRICAL SHELL INTEGRAL(S)[3] Axis of revolution: y = 3 3D Drawing Draw and Label Draw and Label Discs/Washers Here: Cylindrical Shell Here: DISC/WASHER INTEGRAL(S) CYLINDRICAL SHELL INTEGRAL(S) [4] Axis of revolution: x = 4 3D Drawing Draw and Label Draw and Label Discs/Washers Here: Cylindrical Shell Here: DISC/WASHER INTEGRAL(S) CYLINDRICAL SHELL INTEGRAL(S)