For the following vector field F, decide whether it is conservative or

1.	For the following vector field F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, ▽ f = F) with f(0, 0) = 0.‏‏‎ ‎F (x, y) = (-14x - 2y)i + (-2x + 14y)j• Answer it correctly.• Please don't spam. • Need full explanation. • Don't give any irrelevant answer.━━━━━━━━━━━━━━━━━━━━━━━━━━
Answer» Given A vector field F (x, y) = (-14x - 2y)i + (-2x + 14y)j . To Find Whether this field is conservative or not. Concept A field is CALLED conservative if it is path independent. The curl of such field will be zero. That is ▽ X F = 0. In other words, it can be SAID that a field will be conservative if it can be written as gradiant of a scalar field. In my SOLUTION, i have used this approach. I TRIED to find a scalar field whose gradiant is the given field.

For the following vector field F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, ▽ f = F) with f(0, 0) = 0.‏‏‎ ‎F (x, y) = (-14x - 2y)i + (-2x + 14y)j• Answer it correctly.• Please don't spam. • Need full explanation. • Don't give any irrelevant answer.━━━━━━━━━━━━━━━━━━━━━━━━━━

Answer»

Given

A vector field F (x, y) = (-14x - 2y)i + (-2x + 14y)j .

To Find

Whether this field is conservative or not.

Concept

A field is CALLED conservative if it is path independent. The curl of such field will be zero. That is ▽ X F = 0. In other words, it can be SAID that a field will be conservative if it can be written as gradiant of a scalar field. In my SOLUTION, i have used this approach. I TRIED to find a scalar field whose gradiant is the given field.

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