Consider the vector field F(x, y, z) = (5z+4y)i+ (z+4x)j+(y+5x)k. a) Find a function f such...

 

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Consider the vector field F(x, y, z) = (5z+4y)i+ (z+4x)j+(y+5x)k. a) Find a function f such that F = f and f(0,0,0) = 0. f(x, y, z) = b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line integral fo F. dr. Consider the vector field F(x, y, z) = (5z+4y)i+ (z+4x)j+(y+5x)k. a) Find a function f such that F = f and f(0,0,0) = 0. f(x, y, z) = b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line integral fo F. dr.

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a To find a function f such that F f where Fx y z 5z 4y i z 4x j y 5x k we need to find the potentia... View the full answer