Calculate the superficial area
Given Φ(u, v) = (u + v, u, v), 0 ≤ u ≤ 1, 0 ≤ v ≤ 1.
a) find the superficial area of Φ
b) evaluate the integral ∬ Φ xyzdS.
given S the part of the cone parameretized by
x = r cos(θ), y = r sin(θ), z = r, 3 ≤ r ≤ 5, 0 ≤ θ ≤ 2π
a)calculate the superficial area of Φ
b) evaluate the integral ∬ Φ xyzdS.
Alexa Rod
22
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
Mathe
3.7K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 963 views
- $6.50
Related Questions
- Two calculus questions
- Equations of Motion and Partial Fractions
- The cross sectional area of a rod has a radius that varies along its length according to the formula r = 2x. Find the total volume of the rod between x = 0 and x = 10 inches.
- Find the limit as x-->0 for y = (e^x- 1)/[sin(nx)]
- Compute the curl of $F=(x^2-\sin (xy), z-cox(y), e^{xy} )$
- Find the derivative of the function $f(x)=\sqrt{\sin^2x+e^x+1}$
- Find $\lim \limits_{x \rightarrow \infty} \frac{x e^{-x}+1}{1+e^{-x}}$
- Matrix Calculus (Matrix-vector derivatives)
The bounty seems too low
I increased it now
One question, what do you mean by Φ xyzdS ?
Do you mean the integral of the function xyz over the surface? That's only thing that I can think of.
yes