Compute the surface integral S x 2 ds, where S is the unit sphere x 2

Question:

Compute the surface integral ∫∫_S x² ds, where S is the unit sphere x² + y² + z² = 1.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

See More Books

Question Posted: Nov 09, 2023 05:28 AM

See More Questions

Let G be the sphere x2 + y2 + z2 = a2. Evaluate each of the following: (a) (b) (c) (d) (e) Use symmetry properties to make this a trivial problem? z dS y, x + + sin z 1 + z dS x dS (r2 y) ds
Calculate In each case, r = x i + y j + z k. (a) F = r/||r||3; S is the solid sphere (x - 2)2 + y2 + z2 ( 1, (b) F = r/||r||3; S is the solid sphere x2 + y2 + z2 ( a2, (c) F = r/||r||2; S as in part...
A machine fills containers with a particular product. The standard deviation of filling weights computed from past data is 0.6 ounces. If only 2% of the containers hold less than 18 ounces, what is...
Fred Sanguine is a New York City produce broker. Ned Santini is a 19-year-old college student who works for Sanguine from 4:00 A.M. until 7:00 A.M. each weekday before he attends classes at Pace...
A woman needs $$5$,000 for a down payment on a condominium. She will try to raise the money for the down payment by gambling. She will place a sequence of bets until she either accumulates...
Nationwide Insurance developed a program to recruit new insurance agents by offering planning, training, and start-up financing to build self-sustaining agencies. These new agents would be...
The Artisan Wines is a retail store selling vintage wines. On December 31, 2016, the firms general ledger contained the accounts and balances below. All account balances are normal....
Which is an invalid access for the array? integer x integer array (3) numsList numsList [0] = 1 numsList [1] = 2 numsList[2] = 0 x = 3
Evaluate C (2 + x 2 y) ds, where C is the upper half of the unit circle x 2 + y 2 = 1.
A factory produces (cylindrically shaped) roller bearings that are sold as having diameter 4.0 cm and length 6.0 cm. In fact, the diameters X are normally distributed with mean 4.0 cm and standard...
1. Several successful chains of warehouse stores such as Costco have merchandising policies that differ considerably from those of traditional department stores. Name some characteristics of these...
A- Small electricity market has a demand varies between 300 and 600 MW with a required 200 MW minimum spinning reserve. The table shows the characteristics of the available four generating units. ~ 3...
Find an equation of the plane perpendicular to D and through P, where D = 10i 10j + 5k and P is (1,1,-3). Find a plane crossing through (1,3,3), parallel to the plane 3x + y -z = 8. Is it possible to...
What role does data warehousing play in modern enterprise architectures, and how do techniques such as star schemas, snowflake schemas, and data cubes facilitate the transformation, aggregation, and...
Determine the value of X if any at which each function is discontinuous. at each number where F is this discontinuous state the conditions for continuity that are violated . f(x) = 2-1 x+1 if x # -1...
Prepare a trial balance Transaction Journal Entries 1 Paid monthly rent of $400. 2 Received $800 from customers when service was rendered. 3 Issued common stock to investors for $20,000. 4 Billed...
The Sun River beverage company is a regional producer of teas, exotic juices, and energy drinks. With an interest in healthier lifestyles, there has been an increase in demand for its sugar- free...
According during to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,088 in 2018. Consider the population of "last-minute" filers who mail...
In Problems 1-3, plot the parametric surface over the indicated domain? 1. r(u, v) = u i + 3v j + (4 - u2 - v2)k; 0 ( u ( 2, 0 ( v ( 1. 2. r(u, v) = 2u i + 3v j + (u2 + v2)k; -1 ( u ( 1, -2 ( v ( 1....
In Problems 1-4, se a CAS to plot of the parametric surface over the indicated domain and find the surface area of the resulting surface? 1. r(u, v) = u sin v i + u cos u j + u k; - 6 ( u ( 6, 0 ( u...
Find the mass of the surface in Problem 23 if the density is proportional to the distance from the xy-plane?
3. Factor Models: You have the following investments available to you. You may assume that all portfolios are well-diversified. Asset Portfolio of small firms Portfolio of large firms Portfolio of...
Optimal Portfolio: Edgar has three assets he can invest in: A risky stock with an expected return of 11% and a standard deviation of 14%, a risky bond with an expected return of 7.5% and a standard...
Find the following values for a lump sum: a . The future value of $ 5 0 0 invested at 8 % for one year b . The future value of $ 5 0 0 invested at 8 % for five years c . The present value of $ 5 0 0...

Compute the surface integral S x 2 ds, where S is the unit sphere x 2

Question:

Step by Step Answer:

We use the parametric representation Formula 2 x sin cos y sino sin 0 tha...View the full answer

Calculus

Students also viewed these Mathematics questions