Plot the surface with parametrization [ Phi(u, v)=(u+4 v, 2 u-v, 5 u v) ] for (-1
Question:
Plot the surface with parametrization
\[
\Phi(u, v)=(u+4 v, 2 u-v, 5 u v)
\]
for \(-1 \leq v \leq 1,-1 \leq u \leq 1\). Express the surface area as a double integral and use a computer algebra system to compute the area numerically.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
The surface is shown in the following plot We compute the area of the surface using the Integral for ...View the full answer
Answered By
Sushant Mukhija
Being a part of the industry for over 3 years after my bachelor from IIT Kanpur in 2017, I come with the perks of having real-time inputs of a lot of things.
I have been a mentor/tutor at LinkedIn and Walmart Labs. I exactly know what the industry needs from candidates and thereby, can help them accordingly.
Also, I am personally keen on doing this for I have been in the same shoes, years back! Hence, I know exactly how it feels to be in that situation of not knowing what and how to do things.
I would like to be a "3 am a friend" to my students. I would try to be available at any possible time and help my them out in any vertical he asks for, to the best of my knowledge.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
(a) Set up, but do not evaluate, a double integral for the area of the surface with parametric equations x = au cos v, y = bu sin v, z = u 2 , 0 < u < 2, 0 < v < 2. (b) Eliminate the parameters to...
-
Express the integral as a limit of sums. Then evaluate, using a computer algebra system to find both the sum and the limit. 32. "x dx 31. "sin 5x dx 32.
-
Use a computer algebra system to find the exact area enclosed by the curves y = x5 6x3 + 4x and y = x.
-
Davis Company opened a Web page design business on January 1 of the current year. The following information relates to Davis Companys operations during the current year: 1. On February 1, Davis...
-
A closed cylinder is divided into two rooms by a frictionless piston held in place by a pin. Room A has 10 L air at 100 kPa, 30C, and room B has 300 L saturated water vapor at 30C....
-
The horse in Fig. 5.29 is 2.25 m tall, and it stands with its face 15.0 m from the plane of the thin lens whose focal length is 3.00 m. (a) Determine the location of the image of the equine nose. (b)...
-
Political expectations, inflation, and unemployment Consider a country with two political parties, Democrats and Republicans. Democrats care more about unemployment than Republicans, and Republicans...
-
Everly Corporation acquires a coal mine at a cost of $400,000. Intangible development costs total $100,000. After extraction has occurred, Everly must restore the property (estimated fair value of...
-
Suppose you have 135 households in your neighborhood, can you use "=RAND()" function in Excel to randomly select 20 of them to send a survey? a) Write down the codes you would use. b) Show your work...
-
Express the surface area of the surface \(z=10-x^{2}-y^{2}\) for \(-1 \leq x \leq 1,-3 \leq y \leq 3\) as a double integral. Evaluate the integral numerically using a CAS.
-
Let \(\mathcal{S}\) be the surface parametrized by \[ \Phi(u, v)=\left(2 u \sin \frac{v}{2}, 2 u \cos \frac{v}{2}, 3 vight) \] for \(0 \leq u \leq 1\) and \(0 \leq v \leq 2 \pi\) (a) Calculate the...
-
Write a Memo about "Best leadership qualities to adopt"
-
Explain why a dental workplace should have organisational policies and procedures for banking and secure cash handling?
-
It is the end of the year and holiday sales are beginning. To remain competitive the manufacturers of ice scrapers for cars run a buy two get one free sale on Black Friday. What effect will this have...
-
Travel websites such as Expedia and Priceline tend to offer reservation services for multiple travel modes. Based only on your observation of this trend, provide an explanation that is most plausible...
-
The retail business you are planning to buy has poor cash handling. What would you do once you purchase the business to make it better?
-
Capital can flow from rich to poor countries either directly or indirectly. Direct investment involves companies from one country setting up operations in another: factories (e.g. BMW in South...
-
Riggins Trucking, Inc., has a current stock price of $41. For the past year, the company had net income of $5,150,000, total equity of $21,580,000, sales of $39,000,000, and 4.1 million shares of...
-
Test your confidence in the following Project Decisions: SI. # Question 01 02 03 04 05 06 07 08 09 10 How many years did it take to construct the largest Egyptian Pyramid- Pyramid of Cheops? When was...
-
Evaluate by the same method as in Exercise 55. dx x/x? 4 o, -2 )2 .
-
The average speed of molecules in an ideal gas is where M is the molecular weight of the gas, R is the gas constant, T is the gas temperature, and v is the molecular speed. Show that 3/2 4...
-
The average speed of molecules in an ideal gas is where M is the molecular weight of the gas, R is the gas constant, T is the gas temperature, and v is the molecular speed. Show that 3/2 4...
-
Evaluate the expression. 6C3 87! 5C4 85! 87! (Type an integer or a simplifie 6C3 5C485!
-
Choose the number so that the following program has a solution. Then write down the optimal solution, 1 2 3 2 31 x 5 x0, x2 min. -5 -4 1 w
-
6 A certain element has a half life of 2.5 billion years. a. You find a rock containing a mixture of the element and lead. You determine that 40% of the original element remains; the other 60%...
Study smarter with the SolutionInn App