
![8 2 二 * e+》(1-s) da go 9 =2 c+ ( 143 I T =0 3 3 -2 |+) 4X[-] | | x=b 4 = 2 led) 1-5) - 2F(-4-24] = (+) + = 2x= 210 13 1. (1)](http://img.homeworklib.com/questions/29490bf0-f899-11ea-afb3-4fa1aff383cf.png?x-oss-process=image/resize,w_560)
Homework 22: Problem 4 Previous Problem Problem List Next Problem (1 point) Use the Divergence Theorem...
Use the Divergence Theorem to calculate the flux of F across S, where F=zi+yj+zxk and S is the surface of the tetrahedron enclosed by the coordinate planes and the plane x/2+y/5+z=1 ∫∫SF⋅ dS=
Divergence Theorem: Problem 4 Previous Problem Problem List Next Problenm (1 point) Evaluate JM F dS where F (3ay2,3a^y, z3) and M is the surface of the sphere of radius 2 centered at the origin.
Divergence Theorem: Problem 4 Previous Problem Problem List Next Problenm (1 point) Evaluate JM F dS where F (3ay2,3a^y, z3) and M is the surface of the sphere of radius 2 centered at the origin.
17.2 Stokes Theorem: Problem 2 Previous Problem Problem List Next Problem (1 point) Verify Stokes' Theorem for the given vector field and surface, oriented with an upward-pointing normal: F (ell,0,0), the square with vertices (8,0, 4), (8,8,4),(0,8,4), and (0,0,4). ScFids 8(e^(4) -en-4) SIs curl(F). ds 8(e^(4) -e^-4) 17.2 Stokes Theorem: Problem 1 Previous Problem Problem List Next Problem (1 point) Let F =< 2xy, x, y+z > Compute the flux of curl(F) through the surface z = 61 upward-pointing normal....
Use the Divergence Theorem to calculate the surface integral July Fºds; that is, calculate the flux of F across S. F(x, y, z) = xye?i + xy2z3j – yek, S is the surface of the box bounded by the coordinate plane and the planes x = 7, y = 6, and z = 1.
8. (12 points) Use the Divergence Theorem to calculate the surface integral [F-dS, where F(x, y,z) (2xyz -3x2 y) i+(3xy-yz) j+(2x2 +32) k, and S is enclosed by the 3z) k, and S is enclosed by the coordinate planes and x+y+z = 6
8. (12 points) Use the Divergence Theorem to calculate the surface integral [F-dS, where F(x, y,z) (2xyz -3x2 y) i+(3xy-yz) j+(2x2 +32) k, and S is enclosed by the 3z) k, and S is enclosed by the...
Homework 1: Problem 33 Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result -56.5487 -187 incorrect The answer above is NOT correct. (1 point) Compute the flux of F = 3(2 + z)i + 25 + 3zk through the surface S given by y = 22 + z2, with 0 <y<9, x > 0, 2 > 0, oriented toward the xz-plane. flux = -18pi
Hw34-16.9-The-Divergence-Theorem: Problem 5 Problem Value: 1 point(s). Problem Score: 0%. Attempts Remaining: 25 attempts. Help Entering Answers (1 point) Use the Divergence Theorem to calculate the outward filux of F = (z3 +y%, y3+ 23, 23 + 23) across S: the surface of the sphere centered at the origin with radius 4. 22 E dz dy dz Flux of F across S= where 21 = 21 = y1 = Σ Σ Σ 12 = Y2 = 22 = Flux of...
Use the Divergence Theorem to calculate the surface integral
F
· dS;
that is, calculate the flux of F across
S.
F(x, y,
z) = (6x3 +
y3)i +
(y3 +
z3)j +
15y2zk,
S is the surface of the solid bounded by the
paraboloid
z = 1 − x2 −
y2
and the xy-plane.
S
9. Let Q be the solid bounded by the cylinder x2 + y2 = 1 and the planes z = 0 and z = 1 . Use the Divergence Theorem to calculate | | F . N dS where s is the surface of Q and F(x, y, z) = xi + yj + zk. (a) 67T (d) 0 (b) 1 (e) None of these (c) 3π
9. Let Q be the solid bounded by the cylinder x2 + y2...
Use the Divergence Theorem to calculate the surface integral Ils F. ds; that is, calculate the flux of F across S. IS F(x, y, z) = efsin(y)i + e*cos(y)] + yz?k, S is the surface of the box bounded by the planes x = 0, x = 4, y = 0, y = 2, 2 = 0, and 2 = 3.