11. (20 points) Compute the volume obtained by rotating the area between the s-axis and the...
3. Find the area of the surface of revolution obtained by rotating the graph of y = 2x around the x-axis for the interval 0 Sxs To Give exact answer only.
Compute the volume of the solid created by rotating the area between the graphs of y = ? and the y z2 between x = 0 and x = 1 around the x-axis.
na 2 = ža Compute the volume of the solid created by rotating the area between the graph of y= sin(2) cos(x) and the x-axis between c = () and I = į around the x-axis.
(10 points) 4. Find the volume of the solid obtained by rotating about the x-axis the region between the graph of y = e*, the x-axis, and the lines x 1 x 2 in the first quadrant about the x-axis. Draw a sketch of this solid. 5 3- 2- 1- -4 -1 5 3 0 1 2 5 (10 points) 4. Find the volume of the solid obtained by rotating about the x-axis the region between the graph of y...
3. (a) Find the exact volume of the solid obtained by rotating the region between the curves y = = and y = (1 - 26) on the interval [0, 1] about the y-axis. (b) Find the center of mass of the region under the graph of f(x) = 1+z2+z* on the interval (-1,1].
3. (a) Find the exact volume of the solid obtained by rotating the region between the curves y = - andy (1 – 26) on the interval (0, 1] about the y-axis. (6) Find the center of mass of the region under the graph of f(x) = 1 + x2 + x* on the interval (-1,1).
Compute the volume of the solid created by rotating the area bounded by the curve y= ex and the x-axis between 2 = O anda 1 around the y-axis. -
Compute the volume of the solid created by rotating the area bounded by the curve y=er and the x-axis between 2 = O and x = 1 around the y-axis.
Locate the centroid of the volume obtained by rotating the shaded area about the x-axis. y y=kx1/4 5 2 -h
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