Question

Let R be the region bounded by y = ln(x), the x-axis, and the line x...

Let R be the region bounded by y = ln(x), the x-axis, and the line x = π.

a.Usethecylindrical shell method to write a definite integral (BUTDONOTEVALUATEIT) that gives the volume of the solid obtained by rotating R around y-axis

b. Use the disk (washer) method to write a definite integral (BUT DO NOT EVALUATE IT) that gives the volume of the solid obtained by rotating R around x-axis.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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
Let R be the region of the plane bounded by y=lnx and the x-axis from x=1...
Let R be the region of the plane bounded by y=lnx and the x-axis from x=1 to x= e. Draw picture for each a) Set up, but do not evaluate or simplify, the definite integral(s) that computes the volume of the solid obtained by rotating the region R about they-axis using the disk/washer method. b) Set up, but do not evaluate or simplify, the definite integral(s) that computes the volume of the solid obtained by rotating the region R about...
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.
Consider the region R bounded by y = sinx, y = −sinx , from x =...
Consider the region R bounded by y = sinx, y = −sinx , from x = 0, to x=π/2. (1) Set up the integral for the volume of the solid obtained by revolving the region R around x = −π/2 (a) Using the disk/washer method. (b) Using the shell method. (2) Find the volume by evaluating one of these integrals.
The region is bounded by y=2−x^2 and y=x. (a) Sketch the region. (b) Find the area...
The region is bounded by y=2−x^2 and y=x. (a) Sketch the region. (b) Find the area of the region. (c) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = −3. (d) Use the disk or washer method to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about...
Let B be the region bounded by the part of the curve y = sin x,...
Let B be the region bounded by the part of the curve y = sin x, 0 ≤ x ≤ π, and the x-axis. Express (do not evaluate) the volume of the solid obtained by rotating the region B about the y-axis as definite integrals a) using the cylindrical shell method b) using the disk method
Let R be the finite region bounded by y=x^3 and y= 9x. (a) Write an integral...
Let R be the finite region bounded by y=x^3 and y= 9x. (a) Write an integral that gives the volume generated by revolving R around the x-axis. (b) Write an integral that gives the volume generated by revolving R around the line x=−9.
Let R be the region bounded by y = x2 + 1, y = 0, x...
Let R be the region bounded by y = x2 + 1, y = 0, x = 1, and x = 2. Graph the region R. Find the volume of the solid generated when R is revolved about the y-axis using (a) the Washer Method and (b) the Shell Method.
The region is bounded by y = 2 − x^ 2 and y = x Use...
The region is bounded by y = 2 − x^ 2 and y = x Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = −3
a.) Let S be the solid obtained by rotating the region bounded by the curves y=x(x−1)^2...
a.) Let S be the solid obtained by rotating the region bounded by the curves y=x(x−1)^2 and y=0 about the y-axis. If you sketch the given region, you'll see that it can be awkward to find the volume V of S by slicing (the disk/washer method). Use cylindrical shells to find V b.) Consider the curve defined by the equation xy=12. Set up an integral to find the length of curve from x=a to x=b. Enter the integrand below
Problem (9). Let R be the region enclosed by y = 2x, the x-axis, and x...
Problem (9). Let R be the region enclosed by y = 2x, the x-axis, and x = 2. Draw the solid and set-up an integral (or a sum of integrals) that computes the volume of the solid obtained by rotating R about: (a) the x-axis using disks/washers (b) the x-axis using cylindrical shells (c) the y-axis using disks/washer (d) the y-axis using cylindrical shells (e) the line x = 3 using disks/washers (f) the line y = 4 using cylindrical...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT