Question

calculus . 8th edition.

6.2 EXERCISES 1-18 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. 1. y = x + 1, y = 0, x=0, x= 2; about the x-axis y = 1/x, y = 0, x = 1, x = 4; about the x-axis 3. y = (x – 1, y = 0, x = 5; about the x-axis 4. y = e", y = 0, x = -1, x = 1; about the x-axis 5. y = 25 - x?, y = 0, x = 2, x = 4; about the x-axis 6. 2x = y², x = 0, y = 4; about the y-axis y = ln x, y = 1, y = 2, x = 0; about the y-axis 8. y = 6 – x?, y = 2; about the x-axis 9. y = 4x?, y = 5 – x?; about the x-axis

want to know the solution of the problem number 7 , 9

Answer 1

yolniny u y=1, y=2 21. Ji ;nzo y = enn = [na ey A we know that, - 1 ме وی را ا == وند 0 2 tables and ne] [[ et- eo] = (67) volume a I (etal) Volume = 89.2 Ans

dgjvn2 3 - 5 1 2 3 - 5- x At the point of intersection མ ཀྵ 5 - 21 2 e) ཀ - 2 30 - བཤ 2 ༧ད་ SA2 2 3 » » 2 - -- 27 2 + 2 Now འQ ༩༡， > ༢༠༡༦ ཟླ་དང་བ པ ལ ) ༡༥ ༤ ན བ ད་ ། ན ལ ་ པ ལ ་ གས་ ལ་ ་ – 2 《 ༡༩༠༠ - ༡༨ ༢ ༢༩/ ༠༡ ༡༡ ། 2 、 27 $o / 3.64 V - 431，62 A/3