Letting b>a>0 be constant find the area of the surface generated by revolving the circle (x-b)+y^2=a^2
Check Choose Section 7.4 pt 2 Practice Find the surface area of the surface generated by revolving y-9- and y-o from x- -2 and x 2 about the x- axis. Find the exact answer showing all calculus work. 1. Choos "Chech and y-0 from 2. Find the surface area of the surface generated by revolving y- x0 andx2 about the x - axis. Use your calculator and round to the hundredth place. 3. Find the surface area of the surface...
(10 marks) Let C be the curve 64x – - y3 = 0 between y = 0 and y = 3. Sketch the graph of this curve. In each part, set up, but do not evaluate, an integral or a sum of integrals that solves the problem. (a) Find the area of the surface generated by revolving C about the x-axis by integrating with respect to x. (b) Find the area of the surface generated by revolving C about the...
a. Set up an integral for the area of the surface generated by revolving the curve x = 3 sin y, 0 sys about the y-axis. b. Graph the curve. c. Use technology to find the surface area numerically. a. Set up an integral for the area of the surface generated by revolving the curve x = 3 sin y, 0 sys about the y-axis. b. Graph the curve. c. Use technology to find the surface area numerically.
5) (15 pts) Find the surface area of the surface generated by revolving the curvey 0 < x < 2; about the x-axis. (HINT: S.A 6) (15 pts) Find the length of the curve y = * - 4xfrom x = 1 to x = 2.
cc 5,16 55 55 f the surface generated by revolving x 44-y,0 s ysabout the y-axis. Find the area 16 . x=44-y The area is (Simplify your answer. Type an exact answer, using Tt as needed.) cc 5,16 55 55 f the surface generated by revolving x 44-y,0 s ysabout the y-axis. Find the area 16 . x=44-y The area is (Simplify your answer. Type an exact answer, using Tt as needed.)
Find the area of the surface generated by revolving the curve x = 50sys5, about the y-axis. The area of the surface generated by revolving the curve x = (Type an exact answer in terms of .) Osys5, about the y-axis is square units.
Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis The area of the surface is (Type an exact answer, using t as needed.) n Enter your answer in the answer box Find the area of the surface generated by revolving the curve y= 0sxs6, about the x-axis The area of the surface is (Type an exact answer, using t as needed.) n Enter your answer in the answer box
Find the area of the surface generated by revolving x=t+w - 2 sts V2 about the y-axis. The surface area obtained by revolving the given curve around the y-axis is (Type an exact answer in terms of st.) 1.
2. [This problem is intended to measure the ability of students to apply the definite integral to determine the area (CO 5). Score 25] Sketch the region under the curve y = 2vx and y = 3 - x in the first quadrant. Find the area of the region. Find the center of mass of the region. 3. [This problem is intended to measure the ability of students to integral to determine the volume of solids of revolution (CO 5)....
r-a- asin 0, y= a- acose (0s 0s 2m , a> 0 ) represent one arc of a cycloid. Find 18. The equation the surface area generated by revolving this curve about the -axis. 2 and a+1 is convergent or divergent. 2+ a 19. Determine whether the sequence satisfying a If it converges, find the limit. r-a- asin 0, y= a- acose (0s 0s 2m , a> 0 ) represent one arc of a cycloid. Find 18. The equation the...