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).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....

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Question

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

Calculus that deals with differentiation and integration of the vector field in three-dimensional Euclidean space. It deals with quantities that have both magnitude and direction.

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