Find the volume of the solid obtained by rotating the region underneath the graph of f(x)...

Question

Question

Find the volume of the solid obtained by rotating the region underneath the graph of f(x) = - about the y-axis over the inter

math calculus

Answer 1

Answer #1

Please see the attached images for complete solution and concept strengthening on this topic.

solution y = // 1 2 3 de 4 y. circuler ring Volume of elementary portion is given by du = (211xdx) > height of sing aree of B

Answer 2

Similar Homework Help Questions

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).
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 = = 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].
1) Find the volume of the solid obtained by rotating the region in the first quadrant...

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.

(10 points) 4. Find the volume of the solid obtained by rotating about the x-axis the region between the graph of y = e...

(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...
Question 6 of 13 Find the volume of the solid obtained by rotating the region enclosed...

Question 6 of 13 Find the volume of the solid obtained by rotating the region enclosed by the graph of f over the given interval about the line X=4. f(x) = x-(-5, -1] (Use symbolic notation and fractions where needed.) V=
Find the volume of the solid obtained by rotating, about the x-axis, the region bounded by:...

Find the volume of the solid obtained by rotating, about the x-axis, the region bounded by: y = 4x and x = 2y.

FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY THE GIVEN CURVES...

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
Question1: (a) Find the volume of the solid obtained by rotating the region bounded by y=...

Question1: (a) Find the volume of the solid obtained by rotating the region bounded by y= ln x, y=1, y=2, x=0; about the y-axis. (b) sketch the region, the solid and a typical disk or washer.
7) Find the volume of the solid obtained by rotating the region bounded byx (y-3)2 and x 4 about y 1. 7) Find the volume of the solid obtained by rotating the region bounded byx (y-3)2 and x...

7) Find the volume of the solid obtained by rotating the region bounded byx (y-3)2 and x 4 about y 1. 7) Find the volume of the solid obtained by rotating the region bounded byx (y-3)2 and x 4 about y 1.

5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 abo...

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,