Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate
Question:
Use the Divergence Theorem to calculate the surface integral ʃʃS F • dS; that is, calculate the flux of F across S.
F = |r| r, where r = x i + y j + z k, S consists of the hemisphere z = √1 - x2 - y2 and the disk x2 + y2 < 1 in the xy-plane
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 61% (13 reviews)
Fx y zxx y ziyx y x j zx y z k so div F x x y x 2x Then x y ...View the full answer
Answered By
Arshad Ahmad
Well, I am really new to tutoring but I truly believe a good student can be a better teacher. I have always been a topper at school. I passed my Chartered Accountancy at a very young age of 23, a rare feat for most of the students. I am really dedicated to whatever work I do and I am very strict regarding deadlines. i am always committed and dedicated to whatever work allotted to me and I make sure it is completed well within deadline and also I try to give my best in whatever I do. Hope we will have a good time studying together.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use the Divergence Theorem to calculate the surface integral s F dS, where F(x, y, z) = x 3 i + y 3 j + z 3 k and S is the surface of the solid bounded by the cylinder x 2 + y 2 = 1 and the planes z...
-
Use the Divergence Theorem to calculate ( (s F ( dS for the given vector field and surface. F = {xy, zy, x2z + z2}, S is the boundary of the box [0, 1] ( [2, 4] ( [1, 5]?
-
Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate the flux of F across S. F(x, y, z) = xe y i + (z - e y )j - xy k, S is the ellipsoid x 2 + 2y 2 + 3z 2 = 4
-
Zolezzi Incorporated is preparing its cash budget for March. The budgeted beginning cash balance is $29,000, Budgeted cash receipts total $100,000 and budgeted cash disbursements total $91,000. The...
-
For each of the following questions, assume that all measurements are made in 10-cm polarimeter sample containers, (a) A 10-mL solution of 0.4 g of optically active 2-butanol in water displays an...
-
A railway line monitored 15% of its August train journeys to find their departure delay times. The results are shown below. It is given that 24 of these journeys were delayed by less than 2 minutes....
-
Why is it advisable to obtain a written confession from the subject of an investigation?
-
The Pelletier Corporation has just discovered that it will not have enough warehouse space for the next five months. The additional warehouse space requirements for this period are: To cover its...
-
The Williamson Corporation wants to help its employees save for retirement by allowing them to defer part of their compensation on a pretax basis that the company would match. The best option for...
-
Sorrell was driving a dump truck loaded with asphalt to repair railroad crossings when another Norfolk truck approached. Sorrell claimed he was forced off the road. The truck flipped and he was...
-
Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate the flux of F across S. F(x, y, z) = (xy + 2xz) i + (x 2 + y 2 ) j + (xy - z 2 ) k, S is the surface of the...
-
Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate the flux of F across S. F = |r| 2 r, where r = x i + y j + z k, S is the sphere with radius R and center the...
-
In 2008, Ms. Dee purchased 1,000 shares of Fox common stock for $124 per share. On June 2 of the current year she sold 500 shares for $92 per share. Compute Ms. Dees recognized loss on sale assuming...
-
In its first year of operation, Oriole Printing Shop estimated manufacturing overhead costs and activity in order to determine a predetermined overhead rate. At year end, March 31, overhead was...
-
Perpetual inventory using FIFO Beginning inventory, purchases, and sales for Item Zeta9 are as follows: Oct. 1 Inventory 37 units @ $19 Oct. 7 Sale Oct. 15 Purchase Oct. 24 Sale Assuming a perpetual...
-
If $49000 is put in a savings account paying interest of 8% compounded annually, what amount will be in the account at the end of 6 years? O $41878 O $72520 O $77757 O $73140
-
At the end of Year 1, Clayton Company had $7,000 of cash, $8,500 land, $2,500 of liabilities, $4,000 of common stock, and $9,000 of retained earnings. During Year 2, Clayton experienced the following...
-
1. Calculate and fill in the missing numbers below. 2. Suggest one possible explanation for each of the variances. (B) (C) Sales - units Sales - revenue Variable expense Contrib. margin Fixed expense...
-
What kinds of challenges would be involved in recruiting and selecting people to translate documents from Spanish, Polish, and French into English?
-
When is the indirect pattern appropriate, and what are the benefits of using it?
-
The histogram in Exercise 11. Using the histogram indicated, estimate the probabilities of the following events. a. The measurement is equal to 7. b. The measurement is less than or equal to 4. c....
-
The histogram in Exercise 12. Using the histogram indicated, estimate the probabilities of the following events. a. The measurement is equal to 7. b. The measurement is less than or equal to 4. c....
-
The p.d.f. is f(x) = 2x for 0 x 1. For the above p.d.f.'s, Check that the area under the curve is exactly 1. Sketch a graph. Indicate the maximum of the p.d.f., and explain why you are not worried...
-
Sweeten Company had no jobs in progress at the beginning of the year and no beginning inventories. It started, completed, and sold only two jobs during the year-Job P and Job Q. The company uses a...
-
1. Review the following tracings, identify the type of BBB, and then explain how you determined your answers 2. Review the following tracing. Do you suspect left ventricular hypertrophy? Explain how...
-
What are signs that its time to cut corners to get the product launched, and what would you cut?
Study smarter with the SolutionInn App