Check the divergence theorem for the function v = r2 sin r + 4r2 cos

Question:

Check the divergence theorem for the function v = r2 sin θ r + 4r2 cos θ = r2 tan θФ. using the volume of the "ice-cream cone" shown in Fig. 1.52 (the top surface is spherical, with radius R and centered at the origin).

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

Step by Step Answer:

Related Book For book-img-for-question

Introduction to Electrodynamics

ISBN: 978-8120316010

3rd Edition

Authors: David J. Griffiths

See More Books

Question Posted: Nov 25, 2010 06:29 AM

See More Questions

Make a plot of the ice cream cone shown in the figure. The cone is 8 in. tall with a 4 in. diameter base. The ice cream at the top is a 4 in. diameter hemisphere. A parametric equation for the cone...
Test the divergence theorem for the function v = (xy) x + (2yz) y + (3zx) z. Take as your volume the cube shown in Fig. 1.30, with sides of length 2. 2 N 2
(a) Check the divergence theorem for the function v1 = r2r, using as your volume the sphere of radius R, centered at the origin. (b) Do the same for v2 = (1/r2)r. (If the answer surprises you, look...
Andrew owns a commercial office building that is insured under three property insurance contracts. He has $100,000 of insurance from Company A, $200,000 from Company B, and $200,000 from Company C....
If, in a surprise victory, a new administration that the public believes will pursue inflationary policy is elected to office, predict what might happen to the level of output and inflation even...
Suppose two individuals develop benign (noncancerous) tumors that produce symptoms because they occupy space and crowd adjacent organs. If one of these persons has the tumor in the thoracic cavity...
Bill Beck, Bruce Beck, and Barb Beck formed the BBB Partnership by making capital contributions of $67,500, $262,500, and $420,000, respectively. They predict annual partnership net income of...
Comas Corporation manufactures metal roofing in two departments: Pressing and Painting. Sheets of metal material are formed in the Pressing Department before being transferred to the Painting...
Bosio Inc.'s perpetual preferred stock sells for $97.50 per share, and it pays an $8.50 annual dividend. If the company were to sell a new preferred issue, it would incur a flotation cost of 4.00% of...
Identify the more stable stereoisomer in each of the following pairs, and give the reason for your choice: (a) cis- or trans-1-Isopropyl-2-methylcyclohexane (b) cis- or...
Check Stokes' theorem for the function v = yz, using the triangular surface shown in Fig.1.51. |(0,0,a) (0,2a,0) y (a,0,0)
Here are two cute checks of the fundamental theorems: (a) Combine Corollary 2 to the gradient theorem with Stokes' theorem (v = T, in this case). Show that the result is consistent with what you...
Do you consider your daily texting, Facebook updates, blog entries, e-mails, and other informal writing to be real writing? How might such writing differ from the writing done in business?
Test - LOG 2060 Intermediate Systems Sustainment Management T07.E02 Describe DoD's Depot Maintenance Enterprise and How Core, 50-50, and Partnering Initiatives Question 30 of 31. In depot...
Assuming that StickerGiant plans to expand its business to overseas markets, what are the top 3 environmental factors (economic, political/legal, demographic, social, competitive, global, and...
Selina is an avid sky diver. How would an insurer rate the severity/probability of the risks to which Selina is exposed? a) minor/low b) critical/high c) material/medium d) critical/low
Primare Corporation has provided the following data concerning last month's manufacturing operations. Purchases of raw materials Indirect materials used in production Direct labor Manufacturing...
Perpendicular Offset Practice Problem Find the perpendicular offset and station of Point K relative to line JL. Point K N 2423.58 Point L. Point J N 2537.19 N 2399.34 E 1774.94 E 2223.41 E 2445.15
1. Clearly, this person is bitter about new programs and new ideas. What _ do you think might have been the cause of her antagonism? What ~ seems to be her principal concern? Nn . What does she mean...
Test whether the 5-year survival rate for breast cancer is significantly different between African American and Caucasian women who are younger than 50 years of age and have localized disease....
According to Figure 1-5, what is the highest voltage that would be recognized as a logic 0? Figure 1-5. 5 V 2 V 0.8 V OV Binary 1 Invalid voltages Binary 0 (a) Not used 4 V Ing (b) Volts
Work out the normalization factor for the spherical harmonics, as follows. From Section 4.1.2 we know that the problem is to determine the factor K m (which I quoted, but did not derive, in Equation...
Work out the spin matrices for arbitrary spin s, generalizing spin 1/2 (Equations 4.145 and 4.147), spin 1 (Problem 4.34), and spin 3/2 (Problem 4.61). where Equations 4.145 Sx S = h 0 Sy || 11 |2 ...
Imagine two noninteracting particles, each of mass m, in the infinite square well. If one is in the state (Equation 2.28), and the other in state 1 , (l n), calculate ((x 1 - x 2 ) 2 ), assuming...
business law A partner may actively compete with the partnership True False
A company provided the following data: Selling price per unit $80 Variable cost per unit $45 Total fixed costs $490,000 How many units must be sold to earn a profit of $122,500?
Suppose a 10-year, 10%, semiannual coupon bond with a par value of $1,000 is currently selling for $1,365.20, producing a nominal yield to maturity of 7.5%. However, it can be called after 4 years...

Check the divergence theorem for the function v = r2 sin r + 4r2 cos

Question:

X N 30° //R y

Step by Step Answer:

VV 18 T r 1 7247 sin 0 4r sin 6 cos0 sin 12 sin 60 1 r sin 8 4 ...View the full answer

Introduction to Electrodynamics

Students also viewed these Electrodynamics questions