Question

setup(do not evaluate) the integral for: volume of the region bound by y =x3 , x=2...

setup(do not evaluate) the integral for: volume of the region bound by y =x3 , x=2 and y=0 when rotated about the x-axis.

Math   Geometry   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The region described by thee boundaries y =x3 , x=2 and y=0 is shown by the shaded region shown in figure below:

Consider the strip of radius y and width dx. The volume generated by this small cylinder is

Hence, the volume generated by the shaded region (from x = 0 to x = 2) is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) Set up, but do not evaluate, an integral to find the volume when the region...
1) Set up, but do not evaluate, an integral to find the volume when the region bounded by y=1, y=tanx and the y-axis is rotated about the following lines: a) The x-axis b) The y-axis c) The line y=2 d) The line x=3 e) The line x= -1 2) Set up, but do not evaluate, an integral to find each of the following: a) The volume that results when the region in the first quadrant bounded by y=sinx, y=1 and...
Set up, but do not evaluate, an integral to find each of the following: a) The...
Set up, but do not evaluate, an integral to find each of the following: a) The volume that results when the region in the first quadrant bounded by y=sinx, y=1 and the y-axis is rotated about the x-axis. b) The volume that results when the region that is bounded by y=x3 , y=8 and the y-axis is rotated about the y-axis. c) The volume when the region bounded by y=ex , x=1, the x-axis and the y-axis is rotated about...
2. Set up an integral to find the volume of the solid generated when the region...
2. Set up an integral to find the volume of the solid generated when the region bounded by y = 2x2 and y = x3 is (a) Rotated about the x-axis using shells (b) Rotated about the x-axis using washers (c) Rotated about the y-axis using shells (d) Rotated about the y-axis using washers (e) Rotated about the line x = −3 (f) Rotated about the line y = −2 (g) Rotated about the line y = 11 (h) Rotated...
Sketch the graph. Set up (DO Not Evaluate) an integral for the volume of the solid...
Sketch the graph. Set up (DO Not Evaluate) an integral for the volume of the solid that results when the area bound by y=2x-x^2 and y= 0 is revolved about the y axis.
Set up, but do not evaluate, the integral for the volume of the solid obtained by...
Set up, but do not evaluate, the integral for the volume of the solid obtained by rotating the region enclosed by y=\sqrt{x}, y=0, x+y=2 about the x-axis. Sketch a) By Washers b) Cylindrical shells
1. Find the volume of the region between x = -y^2 + 4 and x =...
1. Find the volume of the region between x = -y^2 + 4 and x = 4 - 2y rotated about the x-axis. (a) Create the graph for this problem (b) What is the volume of one 'cylinder'? (c) What is the integral for the volume? (d) What is the volume in exact form? 2. Find the volume of the region between y^2 - 1 = x and 7 - y^2 = x rotated about the line y = 3....
Set up an integral to find the volume of the solid generated when the region bounded...
Set up an integral to find the volume of the solid generated when the region bounded by y = square root(x) and y = (1/2)x is (a) Rotated about the x-axis using washers (b) Rotated about the line x = −4 using washers (c) Rotated about the line y = 5 using shells
Let R be the region in enclosed by y=1/x, y=2, and x=3. a) Compute the volume...
Let R be the region in enclosed by y=1/x, y=2, and x=3. a) Compute the volume of the solid by rotating R about the x-axis. Use disk/washer method. b) Give the definite integral to compute the area of the solid by rotating R about the y-axis. Use shell method.  Do not evaluate the integral.
Using any method, SET UP, but do NOT evaluate, an integral representing the volume of the...
Using any method, SET UP, but do NOT evaluate, an integral representing the volume of the solid obtained by rotating the region bounded by the curves y = 1 x , y = 0, x = 1, x = 3 about (a) the line y = −1 (b) the y-axis.
Using any method, SET UP, but do NOT evaluate, an integral representing the volume of the...
Using any method, SET UP, but do NOT evaluate, an integral representing the volume of the solid obtained by rotating the region bounded by the curves y = 1/x , y = 0, x = 1, x = 3 about (a) the line y = −1 (b) the y-axis
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT