. 2. Compute f F ds, where S is the surface of the cube bounded by the planes ±1, y = ±1, z = ±1, if (a) F = xi (b) F= xi+yj (c) F = xi+yj + zk (d) F = x² + y² + z²k (e) F = yi (f) F = zi (g) F z²j =
. 2. Compute f F ds, where S is the surface of the cube bounded by the planes ±1, y = ±1, z = ±1, if (a) F = xi (b) F= xi+yj (c) F = xi+yj + zk (d) F = x² + y² + z²k (e) F = yi (f) F = zi (g) F z²j =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2c and 2d please show steps
Transcribed Image Text:z = 0 and z= 2. (Me
2. Compute ff FdS, where S is the surface of the cube bounded by the planes
±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
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Step 1: (c) Find the Divergence of the given vector field.
VIEWStep 2: Apply divergence theorem to the given vector field on the given surface
VIEWStep 3: (d) Find the Divergence of the given vector field.
VIEWStep 4: Apply divergence theorem to the given vector field on the given surface
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