Question

The volume of the solid obtained by rotating the region enclosed by ?=?4?+1,?=0,?=0,?=1y=e4x+1,y=0,x=0,x=1 about the x-axis...

The volume of the solid obtained by rotating the region enclosed by

?=?4?+1,?=0,?=0,?=1y=e4x+1,y=0,x=0,x=1

about the x-axis can be computed using the method of disks or washers via an integral

?=∫??V=∫ab    ?    dx    dy   


with limits of integration ?=a=  and ?=b=  .

The volume is ?=V=  cubic units.

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
(1 point) Find the volume of the solid obtained by rotating the region enclosed by y=e^4x+4,y=0,x=0,x=1...
(1 point) Find the volume of the solid obtained by rotating the region enclosed by y=e^4x+4,y=0,x=0,x=1 about the x-axis using the method of disks or washers.
A. (1 point) Find the volume of the solid obtained by rotating the region enclosed by...
A. (1 point) Find the volume of the solid obtained by rotating the region enclosed by ?= ?^(4?)+5, ?= 0, ?= 0, ?= 0.8 about the x-axis using the method of disks or washers. Volume = ___ ? ∫ B. (1 point) Find the volume of the solid obtained by rotating the region enclosed by ?= 1/(?^4) , ?= 0, ?= 1, and ?= 6, about the line ?= −5 using the method of disks or washers. Volume = ___?...
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...
1) Find the volume of the solid obtained by rotating the region enclosed by the graphs...
1) Find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis. ?=2?^(1/2), y=x about y=6 (Use symbolic notation and fractions where needed.) 2) Find the volume of a solid obtained by rotating the region enclosed by the graphs of ?=?^(−?), y=1−e^(−x), and x=0 about y=4.5. (Use symbolic notation and fractions where needed.)
Find the volume of the solid formed by rotating the region enclosed by x=0,x=1,y=0,y=4+x^6 about the...
Find the volume of the solid formed by rotating the region enclosed by x=0,x=1,y=0,y=4+x^6 about the y-axis. Volume =
Find the volume V of the solid obtained by rotating the region bounded by the given...
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x4,   y = 5x,   x ≥ 0;    about the x-axis Find the area of the region enclosed by the given curves. y = 3 cos(πx),    y = 12x2 − 3 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 2x = y2,  x = 0,  y = 5;  about the...
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 solid formed by rotating the region enclosed by y=e^(5x)+2, y=0,...
1) Find the volume of the solid formed by rotating the region enclosed by y=e^(5x)+2, y=0, x=0, x=0.4 about the x-axis. 2) Use the Method of Midpoint Rectangles (do NOT use the integral or antiderivative) to approximate the area under the curve f(x)=x^2+3x+4 from x=5 to x=15. Use n=5 rectangles to find your approximation.
Consider the solid obtained by rotating the region bounded by the given curves about the x-axis....
Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 5 x^3 y = 5 x x >= 0 Find the volume V of this solid. V =
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT