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Math 252 - Recitation Activity 9 - Winter 2022 Page 5 of 6 [4] The functions 3; = 3(m1)3(eq. m = 73 y+1) and y

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Math 252 - Recitation Activity 9 - Winter 2022 Page 5 of 6 [4] The functions 3; = 3(m1)3(eq. m = 73 y+1) and y = 3x/? 1(eq. x = (3y)2+1) meet at (1, 3] and (2, 2). Let R be the region trapped between them. For each given line, use the Shell Method to set up an integral that calculates the volume of the solid obtained by rotating R around it. Your choice for the variable of integration (x or y] should depend on whether the line is vertical or horizontal. Do not evaluate the integral. 9 $21 $24 """"" #925 a a w- -5 ---------- 5-y=-1 (a)y=-1 (b)y=5- (c]x= [d] :c = 4

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