If div F > 0 in a region enclosed by a small cube, is the net flux

Question:

If div F > 0 in a region enclosed by a small cube, is the net flux of the field into or out of the cube?

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus For Scientists And Engineers Early Transcendentals

ISBN: 9780321849212

1st Edition

Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran

See More Books

Question Posted: May 24, 2023 03:34 AM

See More Questions

Suppose div F = 0 in a region enclosed by two concentric spheres. What is the relationship between the outward fluxes across the two spheres?
A cube of side 8.50 cm is placed in a uniform field E = 7.50 103 N/C with edges parallel to the field lines. (a) What is the net flux through the cube? (b) What is the flux through each of its six...
The magnetic field B in a certain region is 0.128 T, and its direction is that of the +z-axis in Fig. (a) What is the magnetic flux across the surface abed in the figure? (b) What is the magnetic...
DTG agreed to merge with the SPQ. The total equity purchase price of $45,000 is going to be 50% financed issuing DTGs common shares and 50% financed with cash raised by DTG issuing long-term debt....
A bank is considering two securities: a 30-year Treasury bond yielding 7 percent and a 30-year municipal bond yielding 5 percent. If the banks tax rate is 30 percent, which bond offers the higher tax...
I need help in firguring out which words match the sentences. Select the correct answer from the drop-down box for each statement. Software that provides a comprehensive, centralized, integrated...
Cheek teeth of extinct primates. Refer to the American Journal of Physical Anthropology (Vol. 142, 2010) study of the dietary habits of extinct mammals, Exercise 3.25 (p. 158). Recall that 18 cheek...
Green Day Corporation had income from continuing operations of $12,600,000 in 2004. During 2004, it disposed of its restaurant division at an after-tax loss of $189,000. Prior to disposal, the...
Contribution Margin and Contribution Margin Ratio For a recent year, McDugal's company-owned restaurants had the following sales and expenses (in millions): Sales $22,400 Food and packaging $6,628...
Describe the usual orientation of a closed surface such as a sphere.
Evaluate both integrals of the Divergence Theorem for the following vector fields and regions. Check for agreement. F = (x, y, z); D = {(x, y, z): [x] 1, |y| 1, |z| 1}
A reaction at 23C has G = 1 kJ mol 1 . Why might this reaction become spontaneous at 37C?
Let two planes be given by 2x-y+z = 8 and z = x+y-5 (a) Find the angle between the two planes. Leave your answer in degrees and round to the nearest tenth. (b) Find the vector equation of the line of...
9-2. The profile of a gear tooth shown in Fig. P9.2 is approximated by the trigonometric equation y(x) = a. Estimate the area A using eight rectangles of equal width A x = 1/8, b. Calculate the exact...
tube is hinged to a rotating base as shown in Fig. 4. At the instant shown, the base rotates about the z axis with a constant angular velocity ! 1 = 2 rad/s. At the same instant, the 2 tube rotates...
Find the limit analytically. -7x2+5x-10 lim 0 9x+13x+11 Find the limit analytically. lim +80 4x-13 5x+6x-11
Write a recursive function for the running time T(n) of the function given below. Prove using the iterative method that T(n) = (n). function( int n) { if(n=1) return; for(int i = 1; i
Identify and briefly describe the three fundamental approaches to data storage.
Graph one period of each function. y = 4 cos x
With government-funded health insurance in the air the next question may be particularly relevant. Is it governments responsibility to help pay for doctor and hospital bills HELPSICK: 1 = Government...
The question that the survey asked is, Should government do more or less to solve countrys problems (HELP NOT: 1 = Government should do more; 2, 3, 4, 5 = Government does too much)? Can we infer from...
Is there enough statistical evidence to conclude that the eight political categories differ in their responses to this question, Should government improve standard of living of poor people (HELPPOOR:...
Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five - year period. His annual pay raises are determined by his division s...
Consider a 5 year debt with a 15% coupon rate paid semi-annually, redeemable at Php1,000 par. The bond is selling at 90%. The flotation cost is Php50 per bind. The firm's tax bracket is 30%.
A project will generate annual cash flows of $237,600 for each of the next three years, and a cash flow of $274,800 during the fourth year. The initial cost of the project is $749,600. What is the...

If div F > 0 in a region enclosed by a small cube, is the net flux

Question:

Step by Step Answer:

If the divergence of the vector field F is positive div F 0 in a region enclosed by a small ...View the full answer

Calculus For Scientists And Engineers Early Transcendentals

Students also viewed these Mathematics questions