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9. Find the area of the surface by rotating the curve y2 -1 = x; 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
(1 point) Find the area of the surface obtained by rotating the curve y = yæ about y-axis for 1 < y < 2. Area:
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
1-20. Computing surface areas Find the area of the surface gener- ated when the given curve is revolved about the given axis Just do 11,12,and 13 (3x)?/3, for 0 < x < 2; about the y-axis sxs 4; about the y-axis B) y = V1 – xě, for sxs ; about the x-axis
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.
1) Find the arc length for the following curves. a. y2 = 4(x + 4)3, b. x= 0<x<2 1 sys2 + 4y2 2) Find the surface area resulting from the rotation of the curve about X axis a. 9x = y2 + 18, b. y = V1 + 4x, 2<x< 6 1<x<5 3) Find the surface area resulting from the rotation of the curve about th Y axis. a, y = 1- x2 0 SX S1
1 1 a) Compute the length of the curve y = Inx, for 1 < x < 2. b) Compute the area of the surface obtained when rotating the curve in question a) about the y-axis, for 1 < x < 2.
Consider the curve X = 42 y=ť, 0 <t<1 Setup the integral for the area of the surface obtained by rotating the curve about 27 (2+4 + 3t") dt [ 26 (28 + 3t) dt 2*t* 4 +01+ dt 27tº /2 + 3* dt [ 2013 (4+9t? dt
(1 point) Find the area of the surface obtained by rotating the curve 4x = y2 + 8 about x-axis from x = 2 to x = 4. Area:
find the avea of surface obtained by rotating 2<x<6 about the x-axis? tex 35x-2