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7. Find divF and curlF if (₁. (b) F = · (x² + y²)i + (y² + z²)j + (x² + z²)k. 8. Find the gradient of a function F = xy² + z³y at point (1,2,3). 9. Find the dirvegence and curl of a function F = x²yî + y) +xzk at the poin (1,2,1).

7. Find divF and curlF if (₁. (b) F = · (x² + y²)i + (y² + z²)j + (x² + z²)k. 8. Find the gradient of a function F = xy² + z³y at point (1,2,3). 9. Find the dirvegence and curl of a function F = x²yî + y) +xzk at the poin (1,2,1).

Advanced Engineering Mathematics
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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Please help on this vector analysis questions
7. Find divF and curlF if ( (b) F= (x² + y²)i + (y² + z²)j + (x² + z²)k. 8. Find the gradient of a function F = xy² + z³y at point (1,2,3). 9. Find the dirvegence and curl of a function F = x²yî + y) + xzk at the poin (1,2,1). END
Transcribed Image Text:7. Find divF and curlF if ( (b) F= (x² + y²)i + (y² + z²)j + (x² + z²)k. 8. Find the gradient of a function F = xy² + z³y at point (1,2,3). 9. Find the dirvegence and curl of a function F = x²yî + y) + xzk at the poin (1,2,1). END
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