Plot the region R enclosed by y = cos(3x); y = cos(x); x = 0; x = pi Find all relevant intersection points. Find the volume of the solid S obtained by rotating the region R about the axis y = -1.
- print Print
- list Cite
Expert Answers
sciencesolve
| Certified Educator
calendarEducator since 2011
write5,349 answers
starTop subjects are Math, Science, and Business
You need to determine the inner and the outer radius such that:
inner radius: `r(x) = -1 - cos(3x)`
outer radius: `R(x) = -1 - cos x`
You need to evaluate the cross sectional area such that:
`A(x) = pi(R^2(x) - r^2(x))`
`A(x) = pi((-1 - cos x)^2 - (-1 - cos 3x)^2)`
`A(x) = pi(1 + 2cos x + cos^2 x - 1 - 2cos 3x - cos^2 3x)`
You need to evaluate the volume of solid of revolution such that:
`V(x) = int_0^(pi)...
(The entire section contains 249 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- `y = sqrt(x - 1), y = 0, x = 5` Find the volume of the solid obtained by rotating the region...
- 1 Educator Answer
- Plot the region R enclosed byy = cos(3x); y = cos(x); x = 0; x = pi Find all relevant...
- 2 Educator Answers
- `x = 2sqrt(y), x = 0, y = 9` Find the volume of the solid obtained by rotating the region...
- 1 Educator Answer
- `y = 2 - (1/2)x, y = 0, x = 1, x = 2` Find the volume of the solid obtained by rotating the...
- 1 Educator Answer
- Find the volume of the solid formed by rotating the region enclosed by y=x^2 and y=2x about the...
- 2 Educator Answers