Question: Evaluate Where F = sin x i + (1 - cos x) y j + 4z k And G is the closed surface bounded by

Evaluate
EvaluateWhereF = sin x i + (1 - cos x)

Where
F = sin x i + (1 - cos x) y j + 4z k
And G is the closed surface bounded by z = (9 - x2 - y2, and z = 0 with outward unit normal n?

F-n dS,

Step by Step Solution

★★★★★

3.33 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

90 p 2827433 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (3503).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

For each of the following, evaluate S F-nd, where n is the outward-pointing normal. a) S is the topological boundary of the rectangle [0, 1] [0, 2] [0, 3] and F(x, y, z) - (x + ez, y + ez, ez). b)...

Q:

For each of the following, evaluate S curl F nd. a) S is the "bottomless" surface in the upper half-space z > 0 bounded by y = x2, z = 1 - y, n is the outward-pointing normal, and F(x, y, z) = (x...

Q:

In Sec. 34, use expressions (13) and (14) to derive expressions (15) and (16) for |sin z|2 and |cos z|2. (13) sin z = sin x cosh y + i cos x sinh y, (14) cos z = cos x cosh y i sin x sinh y, where z...

Q:

1.pdf Practice Test 1 (Math 72-Stewart) 1. Evaluate each integral. (a) dx (b) ( V 4 - x dx (C) AT (d) [cos xsin xdx (e) dx (1) [ xe" dx (8) - Exdx (h) sin x V2x - 1 dx cos x J xsec2xdx 3x - 2 dx 0...

Q:

4. [-/1 Points] DETAILS LARCALC10 13.2.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER cuss the continuity of the functions fan x4 - y4 f ( x, y) = 3 x2+ 2 ( x, y) = (0, 0) ( x, y) = (0, 0) g ( x , y...

Q:

2. Consider the line integral F. dr, where the vector field F = 3 C 2y (e sin x + y/2) + 2(e cos y + z/) j and C is the closed curve in the first quadrant consisting of the curve a + y = 1 and the...

Q:

A vector field is given by F = Sin y + x (1+ Cos y) j. Evaluate the line integral a circular path given by x2 + y2 = a', z =0. over

Q:

Questions 25,32 please! 2.2 Double Integrals over General Regions 127 9-16. Regions of integration Sketch each region and write an 33-38. Regions of integration Sketch each region and write an...

Q:

Module 1 1. Which of the following is a necessary and sufficient condition for a function, f, to be continuous at the point c = 4? O lim f (I) does not exist. O lim f (z) = f(4). O f is defined on an...

Q:

please use this format filename 1 .. 10 name file 2 1 .. 10 1. Find the derivative of f if f (I) = 2-50. Preview will appear here.. Enter math expression here 2. Differentiate the function F(y) =...

Q:

You want to buy a home theater system for your new apartment and you decided to get consumer credit to finance this purchase. Garanti Bank's quote for 2 year consumer credit is 1.2 % monthly. You...

Q:

Assume that X is a Poisson random variable with = 4. Calculate the following probabilities. a. P(X = 4) b. P(X = 2) c. P(X 1)

Q:

This is an example of a mechanism in which metal ions are coordinated to water or helping polarize water molecules. Mark the water molecule that is acting as a nucleophile in this mechanism.

Q:

Which of the following is the most likely to cause a leftward shift in the long-run aggregate supply curve? a. An increase in labor. b. An increase in capital. c. An advance in technology. d....

Q:

In Figure 17.3, the government may optimally regulate the paper market by taxing output. Given that the output tax remains constant, what are the welfare implications of a technological change that...

Q:

Suppose that the inverse demand curve for paper is ( = 200 - Q, the private marginal cost (unregulated competitive market supply) is MC( = 80 + Q, and the marginal harm from gunk is MCg = Q. a. What...

Q:

Connecticut announced that commercial fleet operators would get a tax break if they converted vehicles from ozone-producing gasoline to what the state said were cleaner fuels such as natural gas and...

Q:

Ray Crofford is evaluating investment alternatives for the $100,000 which he inherited from his grandfather. His investment advisor has identified two alternatives and constructed the following...

Q:

What is the internal rate of return for the following project: An initial outlay of $9,000 resulting in a single cash inflow of $15, 424 in 7 years. (Round to the nearest whole percent.) The internal...

Q:

(c) From the data you presented in part (a), explain whether there is any evidence for a change in autism prevalence rates in children aged 8 years during the years 2004 to 2009. Table 1 Year Number...