Solve for the gradient 1. F = x²yi - (2³-3x)j + 4y²³ k · F¹ = (3x + 2z²) i + ²³y² 3 − ( 2. 3. -j-(z-7x) k F = (2y - cos(x)) - 2²ẹ³¹ j + (x² − 72) k

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve for the gradient
1.
F = x²yi (2³-3x)j + 4y²k
. F = (3x + 2x²) í + x³y² j − (z – 7x) k
i
2.
4.
F = (2y - cos(x)) i 2²ẹ³¹ j + (x² − 72) k
3.
v
-
F
==
(4y - 1) + xy²j + (x − 3y) k
-
F = 2² (y - x) i +
4yº
2
-j + (x² − 32) k
-
Transcribed Image Text:Solve for the gradient 1. F = x²yi (2³-3x)j + 4y²k . F = (3x + 2x²) í + x³y² j − (z – 7x) k i 2. 4. F = (2y - cos(x)) i 2²ẹ³¹ j + (x² − 72) k 3. v - F == (4y - 1) + xy²j + (x − 3y) k - F = 2² (y - x) i + 4yº 2 -j + (x² − 32) k -
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