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please help with these 2. A solid is created when the region bounded by the curves y : 9:2 and y : 332/3 is rotated

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2. A solid is created when the region bounded by the curves y : 9:2 and y : 332/3 is rotated about the line 3; : 3. Which of the following integrals gives the volume of this solid? 0 fol [m4 , :34/3 + 9] da: 0 1'03 [334 35-4/3] dm 0 IS [(3 , 232? e (3 , $2/3)2] drc 0 1r f03 [332/3 932]2 dm 0 I; [e2 + 3)? e (W + 3F] is: 4. R denotes the region bounded by the curves 3; = (a: 1)2 and y = ln(:r). A solid is created When R is rotated about the line y = 0. What is the volume of this solid? (You may set up and evaluate the integral using a calculator.) 6. What is the approximate volume of the solid created when the region under the curve y = cos :1: on the interval [ g, g] is rotated around the w 7 axis '? (Set this up algebraically, but then feel free to use a graphing calculator to evaluate the integral.) 7. What is the approximate volume of the solid created when the region under the curve y = sin a: on the interval [0, 71'] is rotated around the m-axis? (Set this up algebraically, but then to evaluate feel free to use a graphing calculator to evaluate the integral.)

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