across Let F = (x i+yj +z k'). What is the outward flux of F (x2...

Question

Question

across Let F = (x i+yj +z k). What is the outward flux of F (x2 + y2 +22)8 a sphere of radius R> 0 centered at the origin?

Answer 1

Answer #1

(237+27+222). ) .; log.pl Tg. F 1 221 – 22. & lvgl = 25a2ty2+22=2UR? 1091 = QR Therefore do DI DA ZR dA a 2z 817g. 21 do a R

Answer 2

Similar Homework Help Questions

(x1 +y] +zł). What is the outward flux of F 16 Let F (2:2 + y2...

(x1 +y] +zł). What is the outward flux of F 16 Let F (2:2 + y2 +22) 2 across a sphere of radius a > 0 centered at the origin?
using this formula 2. Evaluate the surface integral F. dS, where F(x, y, z) = xi+yj+zk...

using this formula 2. Evaluate the surface integral F. dS, where F(x, y, z) = xi+yj+zk is taken over the paraboloid z=1 – x2 - y2, z > 0. SA errom bove de SS (-P (- Puerto Q + R) dA dy
Consider the following vector ﬁeld. F = (xi + yj + zk )/((x^2 + y^2 + z^2)^3/2) (a) Find the divergence of F. (b) Let S...

Consider the following vector ﬁeld. F = (xi + yj + zk )/((x^2 + y^2 + z^2)^3/2) (a) Find the divergence of F. (b) Let S be any sphere not containing the origin. Find the outward ﬂux of F across S. (c) Let Sa be the sphere of radius a centered at the origin. Find the outward ﬂux of F across Sa.

2. Find the flux of the vector field F = <xzyz,1> across the surface of the...

2. Find the flux of the vector field F = <xzyz,1> across the surface of the upper half of the sphere of radius 5, centered at the origin. Write a program that displays Welcome to Python
Use the divergence theorem to find the outward flux of F across the boundary of the...

Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=3./x2 + y2 + 2? (xi + yj + zk) D: The region 35x2 + y2 +z+s4 The outward flux is- (Type an exact answer, using a as needed.)
5. Let F(x, y, z) = (yz, xz, xy) and define Cr,h = {(x, y, z)...

5. Let F(x, y, z) = (yz, xz, xy) and define Cr,h = {(x, y, z) : x2 + y2 = p2, z = h}. 1 Show that for any r > 0 and h ER, Sony F. dx = 0

can you solve this vector problems? Find the outward flux of the vector field F(x, y,...

can you solve this vector problems? Find the outward flux of the vector field F(x, y, z) = (xi + yj + zk)/(x 2 + y 2 + z 2 ) 3/2 across the ellipsoid 4x^2 + 9y^2 + z^2 = 1. 6. (12 pts.) Find the outward flux of the vector field F(r,y, ) (ri yj+ zk)/(x2 + y2 22)3/2 across the ellipsoid 4r2 +9y2 + z2 = 1 6. (12 pts.) Find the outward flux of the vector...
Let F = < x-eyz, xexx, z?exy >. Use Stokes' Theorem to evaluate slice curlĒ ds,...

Let F = < x-eyz, xexx, z?exy >. Use Stokes' Theorem to evaluate slice curlĒ ds, where S is the hemisphere x2 + y2 + z2 = 1, 2 > 0, oriented upwards.
2. Let I be the surface of the cone z = V x2 + y2 (without...

2. Let I be the surface of the cone z = V x2 + y2 (without the top) between planes z = 0 and z = 2. Let F =< x,y,z2 >. Calculate the upward directed flux SS FdS (a) Using the Divergence Theorem. (10 points) (b) Without using the Divergence Theorem. (20 points)

5. Let F(x, y, z) = (yz, xz, xy) and define 2 Crin = {(x,y,z) :...

5. Let F(x, y, z) = (yz, xz, xy) and define 2 Crin = {(x,y,z) : x2 + y2 = r2, 2 = h} Show that for any r > 0 and h ER, le F. dx = 0 Crih