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I'm struggling in the process of the questions 15; I attached the answer of these questions in the last image as the book provided. Please

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I'm struggling in the process of the questions 15; I attached the answer of these questions in the last image as the book provided. Please help me, thank you so much!

image text in transcribedimage text in transcribed
Section 7.2 1. T 3. Recall that "dx" does not just "sit there;" it is multiplied by A(x) and represents the thickness of a small slice of the solid. Therefore dx has units of in, giving A(x) dx the units of in3. 5. 48TV/3 /5 units 3 7. 12 / 4 units 3 9. 97 / 2 units 3 11. 12 - 27 units3 13. (a) 7 / 2 (b) 57/6 (C) 47 /5 (d) 87 / 15 15. (a) 47 /3 (b) 271 / 3 (c) 47/3 (d) 7 / 3 17. (a) 72/2 (b) 12/2 - 4TT sinh -1(1) (c) 72/2 + 4 7 sinh -1(1)In Exercises 13 - 18, a region of the Cartesian plane is de- scribed. Use the Disk/Washer Method to find the volume of the solid of revolution formed by rotating the region about each of the given axes. 13. Region bounded by: y = vx, y = 0 and x = 1. 20 Rotate about: (a) the x-axis (c) the y-axis (b) y = 1 (d) x = 1 14. Region bounded by: y = 4 - x2 and y = 0. Rotate about: (a) the x-axis (c) y = -1 21 (b) y = 4 (d) x =2 15. The triangle with vertices (1, 1), (1, 2) and (2, 1). Rotate about: (a) the x-axis (c) the y-axis (b) y = 2 (d) x =1 22 16. Region bounded by y - x2 - 2x + 2 and y = 2x - 1. Rotate about: (a) the x-axis (c) y = 5 (b) y = 1 17, Region bounded by y = 1/Vx2 + 1, x = -1, x = 1 and the x-axis. Rotate about: (a) the x-axis (c) y =-1 (b) y = 1

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