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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
Let F = (6xyz + 2sinx, 3x^2z, 3x^2y). Find a function f so that F = \bigtriangledown f , and f(0, 0, 0) = 0 .
Alex Bettington
•
August 23, 2024
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