Question

Q9 10 Points Let R be the region bounded by the curve y = x2 + 1 and the lines x = 0, x = 1, and y = 1. (a) Set up, but do not evaluate, the volume of the solid obtained by rotating R about the x-axis. Show your work. (b) Set up, but do not evaluate, the volume of the solid obtained by rotating R about the line 2 1. Show your work. =

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Answer 1

Magic Date Page Given Curves are y=x²+1 y = x + 1, x=0, x=1, y = 1 the Region bounded by giuen curves shown in the graph by Shad wed part (a) We have to find Volume of Saled that abtakhed by Rotating bounded Region about x-axis. fy=x²+1 for this Let an small element dx having inner Radpus is y and outer Radius 웃다 that is de and y = 2²+1) - = 1 then area of small element A (X) = TY? _RY, Ace) R (9,²-Y) A(I) = À [(0%) ² - (1) A(1) = *(1-1) and Volume of obtained solied Ali da V= * * (-1)43 2020/7/30 19:55

10 10 Ογη for this " We have to find volume of solid that obtained by Rotating bounded Region about line x=1 yaxt/ Let an small element having Inner Radius & and outer Radius ealer that is x = 77-1 then area of small element A(4.) = R X - 74² 2020/7/30 19:55 =ñ [syn - and Volume | A(9) dy JT A [ Jy 1 - ² dy