w tym set up an intejsal to find the area of th surface rotating top the...
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
9. Find the area of the surface by rotating the curve y2 -1 = x; 0 < x < 3 about the X-axis.
(1 point) Find the area of the surface obtained by rotating the curve y = yæ about y-axis for 1 < y < 2. Area:
find the avea of surface obtained by rotating 2<x<6 about the x-axis? tex 35x-2
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.
With double integral find surface area when y=e", y = x, y = 4 and axis y with y <et
Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of y; and x = 0,0 < y < 1 about the x-axis. = Volume - s": f(y)dy where, f(y) = Preview What is the volume? Preview
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
for b. y= sin(x^2-3x+1) og t par Set up, but do not evaluate, the integral required to compute the arc length of the curve cotr. y= 217from 0<x< /2. mense metied to compute Set up, but do not evaluate, the integral required to compute the surface area of the solid obtained by rotating the curve y=sin(x2 3x + 1), 0<x< 1 about the z-axis.
10. Consider the surface S parameterized by w r= (cos y, sin v, u + sin v), -3 <u <3, 050 < 27 *** (a) Write a linear equation for the tangent plane to the surface at (0,1,1) (b) Compute the surface area of S.