3. (a) Find the exact volume of the solid obtained by rotating the region between the...
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).
1) Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x=0, y=1, x=y^7, about the line y=1. 2) Find the surface area of revolution about the x-axis of y=7x+4 over the interval 1≤x≤4. 3)The region bounded by f(x)=−1x^2+5x+14 x=0, and y=0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.
Find the volume of the solid obtained by rotating the region underneath the graph of f(x) = - about the y-axis over the interval [1, 3].
FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY THE GIVEN CURVES ABOUT THE SPECIFIED AXIS. y=ex, y=0, x=0, x=1, ABOUT THE x-axis
(5 points) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=r?, y = 2x - x?; about the z-axis
1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves below about the y-axis. r=0, x=1, y=0, y=2+23 Volume =
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=0,y=cos(8x),x=π/16,x=0 about the axis y=−6
(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...
5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis, 5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis,
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 − 1/2x, y = 0, x = 1, x = 2; about the x-axis V =