5) (15 pts) Find the surface area of the surface generated by revolving the curvey 0...
5. Find the area of the surface obtained by revolving the curve y = sin(x), for 0 < x <TT, about the z-axis. [10] 6. Work out si 23 - 22 +7 +59 dx. [10] 23 x2 + x - 1
Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ Find the area of the surface generated by revolving the equation r-2+2cos(0) about the polar axis. Find the length of the curve r 6; from 8-0 to θ
9. Find the area of the surface by rotating the curve y2 -1 = x; 0 < x < 3 about the X-axis.
Question 6 6.67 pts Find the length of curvey = 2x3/2 for 3 << 7. Enter your answer a decimal that is correct to at least one decimal place.
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.
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.
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
(a) - Find the areas of the surfaces generated by revolving the curves below about the x axis: (i) y = 13/9, 0<r<2 (ii) y = VT, srs (b) Solve the following initial value problems: (i) z’y' + 2xy = Inz, y(1) = 2 (ii) tone = 2 + 3u, t > 0, u(2) = 4 (iii) ry' = y + x2 sint, y(t) = 0
Find the area of the surface obtained by rotating the given curve about the x-axis. x = 20 cos (0), y = 20 sinº (0), 0 <O< 2 Preview
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.