z = 0 and z= 2. Compute JJ FdS, where S is the surface of the cube bounded by the planes x = ±1, y = ±1, z = ±1, if (a) F = xi (b) F = xi+yj (c) F= xi+yj + zk (d) F = x² + y²j + z²k (e) F = yi (f) F = zi (g) F = z²i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Compute c and d without using divergence theorem
z = 0 and z = 2.
2. Compute JJ F. dS, where S is the surface of the cube bounded by the planes
x=
= ±1, y = ±1, z = ±1, if
(a) F = xi
(b) F = xi+yj
(c) F= xi+yj + zk
(d) F = x² + y²j + z²k
(e)
(f)
(g)
=
yi
F = zi
F = z²i
Transcribed Image Text:z = 0 and z = 2. 2. Compute JJ F. dS, where S is the surface of the cube bounded by the planes x= = ±1, y = ±1, z = ±1, if (a) F = xi (b) F = xi+yj (c) F= xi+yj + zk (d) F = x² + y²j + z²k (e) (f) (g) = yi F = zi F = z²i
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