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](https://matchmaticians.com/storage/user/101567/thumb/AOh14Gh1-2B-pc5uFLblw7_WedB1k-Y-X5bjzLxmDzOHkg=s96-c-avatar-512.jpg)
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
3.3K
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
- 490 views
- $6.50
Related Questions
- Explain parameter elimination for complex curves v2
- Find $\int \sec^2 x \tan x dx$
- Exponentil bacteria growth
- Find $\int\frac{dx}{2x^2-2x+1}$
- Calculus helped needed asap !!
- Find the exact form (Pre-Calculus)
- Show that the MLE for $\sum_{i=1}^{n}\left(\ln{2x_i} - 2\ln{\lambda} - \left(\frac{x_i}{\lambda}\right)^2\right)$ is $\hat{\lambda} = \sqrt{\sum_{i=1}^{n}\frac{x_i^2}{n}}$.
- Use Green’s theorem to compute $\int_C x^2 ydx − xy^2 dy$ where $C$ is the circle $x^2 + y ^2 = 4$ oriented counter-clockwise.
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