8. SCalcET8 6 3.508 XP The integral represents the volume of a solid. Describe the solid. dy 9 + y The solid is obt...
, The integral represents the volume of a solid. Describe the solid. 76yy The solid is obtained by rotating the region bounded by (i) x- 'x=0,and y = 0 or (ii) x = x- 6, and y 0 about the line using cylindrical shells Watch It Talik to a Tutor Need Help? Read It Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis...
please help! thanks so much My Notes 5. -/1 points SCalcCC4 6.3.010. Consider the given curves to do the following. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about thex axis. Sketch the region and a typical shell. (Do this on paper. Your instructor may ask you to turn in this sketch.) Need Help? Read ItTalk to a Tutor 6. -/1 points SCalcCC4 6.3.014...
3.0-14 points SCalcET8 82.005 Consider the following. (a) Set up an integral for the area of the surface obtained by rotating the curve about the raxis and the y-axis. (i) them is S= (i) the y-axits ) dy (b) Use the numerical integration capability of s calculator to evaluate the surface areas corract to four decimal places () the aeaxis () the y-axis Need Help? Tak to a Tuter 3.0-14 points SCalcET8 82.005 Consider the following. (a) Set up an...
(1 point) The volume of the solid obtained by rotating the region bounded by y = x, y = 10x, about the line x = 10 can be computed using the method of washers via an integral v = ["40) dy where a = 0 .b = 10 and A(y) = pily/10^2-pi(sqrty1/2 The volume of this solid can also be computed using cylindrical shells via an integral v = ["avde where a = and A(x) = In either case, the...
need it asap please 18) 8. The region is bounded by y = 2 - r- and y = r. (a) (2 marks) Sketch the region. (b) (6 marks) Find the area of the region. (c) (5 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line r = -3. (d) (5 marks) Use the disk or washer method to...
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. x = 1 + (y − 5)2, x = 17 2-Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 9
6. (a) (1 marks) Sketch the region bounded by the curves y = sin x, y = x+1, x = 0 and x = - 27. (b) (3 marks) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = 27. (c) (3 marks) Use the method of washers to set up, but do not evaluate, an integral for the...
10. Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the specified axis. Graph the region, the height, and show the radius of a shell on your own paper. Set up integral, do not evaluate. y=x^2, y=0, x=1, x=8, about x=1
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=−2 and x=−1 about the y-axis.Volume = _______ Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis.x^2+(y−7)^2=25about the x-axis. Volume = _______
1. Let R be the region enclosed by the curves y =ra and r = y2 Nole that there is no med to evaluate any integrals in this problem unless you run out of other things to do). a) Find a dy integral for the volume of the solid obtained by rotating R about the r-axis. (Compare with your solution to part f of the last worksheet). b) Find a dx integral for the volume of the solid obtained by...