Question: Evaluate the surface integral / /FNds over the surface S by using the Divergence Theorem to find the total outward flux through the indicated surface

Evaluate the surface integral / /FNds over the surface S by using the Divergence Theorem to find the total outward flux through the indicated surface in the vector field F = <4x, x^2z, e^y-2z>. S is the surface containing the region bound by the plane x+y+z=2 in the first octant

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

( 1 point ) This problem will illustrate the divergence theorem by computing the outward flux of the vector field F ( x , y , z ) = 2 + 2 y j + 2 z k across the boundary of the right rectangular...

This problem will illustrate the divergence theorem by computing the outward flux of the vector field F(x, y, 2) = 4ri + 5yj +50k across the boundary of the right rectangular prism: -2 x 3,-3 y ...

1. [-/0.5 Points] DETAILS MY NOTES PRACTICE ANOTHER Evaluate the surface integral. (x + y + z) ds, S is the parallelogram with parametric equations x = u + v, y = u - V, Z= 1+ 2u + v, Osus 3, OS VS...

Please fill in this test review MATH 3433 - CALCULUS III ONLINE (7) [15 Points] Let F = (sin(x) +2y +2, 3z + cos(y), 4x-ez) and C' be the positively Exam 5 oriented, closed, triangular curve with...

Using the Divergence Theorem, following the steps outlined below. Let S be the surface made up of the cylinder x 2 + y 2 = 4 , 0 z 1 0 along with a top disk at height z = 1 0 and a bottom disk at...

Test review MATH 3433 - CALCULUS III ONLINE (7) [15 Points] Let F = (sin(x) +2y+z, 3z+cos(y), 4x -ez) and C' be the positively Exam 5 oriented, closed, triangular curve with vertices at (2, 0, 0),...

(8 points) Let F = > be a vector field. Let S be the boundary of the tetrahedron with vertices (0, 0, 0), (2, 0, 0), (0, 5, 0), and (0, 0, 4). S is the union of four surfaces; S = S, U S, U S; U S4....

give me just answers of these questions. VA Topic 9 - HW 3: (Surface Integrals X VA Topic 9 - HW 4: (Stokes' Theorem X + X webassign.net/web/Student/Assignment-Responses/last?dep=24613344 . .. 3....

Use the Divergence Theorem to find the flux of F = xy 2 i + x 2 yj + yk outward through the surface of the region enclosed by the cylinder x 2 + y 2 = 1 and the planes z = 1 and z = -1. THEOREM...

If f(t) = t cos (wt) u (t 1), find F(s).

1) In a thermostat control system for a home heating system, a) identify the manipulated variable, b) identify the control variable, c) how is a valve involved in the control system? what does it...

12.68 Exercise 10.85 presented a table in which men were classified according to whether or not they had a pierced ear and a tattoo. Of the 424 men with no pierced ear, 43 had a tattoo. Of the 141...

REVIEW THE INFORMATION ABOUT LEAPFROG HOSPITAL SAFETY GRADES. CHOOSE TWO HOSPITALS TO COMPARE A VERY EFFECTIVE ONE AND ONE WHICH IS NOT EFFECTIVE. WHAT SEPARATES THE TWO? HOW CAN THE A HOSPITAL USE...

1. Discuss the following statements: a) Predetermined is not the same thing as predictable. b) When we are aware of the consequences of our behaviour, we can change our behaviour. c) What we know is...

2. In this chapter, the reader should reflect on the following concepts:

1. To provide an understanding that a person in a communication situation conveys three things at the same time: their position, basic interests and values.