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Determine whether the vector field F(x,y) = (x+5) i +(6y+5) j is path independent (conservative) or not. If it is path independent, find a potential function for it.
Alex Bettington
•
August 23, 2024
Let F = (7yz)i + (6xz)j + (6xy)k. Compute the following: A) div F B) curl F C) div curl F (Your answers should be expressions of x, y, and/or z)
Alex Bettington
•
August 23, 2024
Consider the vector \mathbf F(x,y,z) = (2x+4y)\mathbf i +(4z+4x) \mathbf j + (4y + 2x) \mathbf k . a. Find a function f such that \mathbf F = \nabla f and f(0,0,0) = 0 . b. Suppose C is...
Alex Bettington
•
August 23, 2024
Find curl F(x,y,z) , when F(x,y,z) = x^3yz i +xy^3z j + xyz^3 k
Alex Bettington
•
August 23, 2024
Find curl F for the vector field F = z\sin x i -2x\cos y j +y\tan z k at the point (\pi, 0, \pi/4)
Alex Bettington
•
August 23, 2024
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