Solve the Gradient, divergence and curl of the following vectors F = x²yi (2³-3x)j + 4y²k 1. ‚ F = (3x + 22²) í + ªªyª² j − (z − 7x) k - 2 2. 3. 4. ហ F = (2y - cos(x)) - 2²e³j + (x² −72) k F = - (4y - 1) i + xy²j+ (x − 3y) k - 4y F = 2² (y − x) i +¹¹j + (x² − 3x) k 3

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 the Gradient, divergence and curl of the following vectors
F = x²yi (2³-3x)j + 4y²k
1.
‚ F = (3x + 22²) i + ªª³y³² j − (z − 7x) k
-
-
2
2.
F = (2y — cos(x)) i — z²e³xj + (x² − 72) k
-
-
3.
4.
5
F
- (4y - 1) i + xy²j+ (x − 3y) k
-
==
4y
F = 2² (y − x) i +¹¹ j + (x² − 3x) k
3
Transcribed Image Text:Solve the Gradient, divergence and curl of the following vectors F = x²yi (2³-3x)j + 4y²k 1. ‚ F = (3x + 22²) i + ªª³y³² j − (z − 7x) k - - 2 2. F = (2y — cos(x)) i — z²e³xj + (x² − 72) k - - 3. 4. 5 F - (4y - 1) i + xy²j+ (x − 3y) k - == 4y F = 2² (y − x) i +¹¹ j + (x² − 3x) k 3
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