Question

A) Find the surface area of the paraboloid -yi z 1-r when z \geq 0 by parameterizing the surface using a polar representation.

B) Express the surface area of the paraboloid as a triple integral using the Divergence theorem.

C) By choosing an appropriate vector field, use the Divergence Theorem to find the surface area of the paraboloid.

-yi z 1-r
0 0
Add a comment Improve this question Transcribed image text
Answer #1

2 A) usinpola aprus entation Aypamebriytion Suoyasa 2 we know SS 44 dA disk Parameizing amd dAyde dy - 4y ydy d e Let dp 8 xd& S: ×2 メとT× 2 2 3/2 (s3 7T B Asa tiple intea ng Dirymee Tro For a uecta Ful F div CF) dV F-dA whe ste dosed Susfac nitRhe tAlo So we haue JTC4yg ) de 2n 4 so giao y) ydyda drdo 2n Jhe disk 2 C Sime t0 Adding F.cA F.dA 2the pert Salring ) dv. 4 F.dA

Add a comment
Know the answer?
Add Answer to:
A) Find the surface area of the paraboloid when by parameterizing the surface using a polar representation. B) Expres...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT