Determine Whether $\mathbf { F }$ Is Conservative $f$ Such That $\mathbf { F } = \nabla f$

question 91

Essay

Determine whether $\mathbf { F }$ is conservative. If so, find a function $f$ such that $\mathbf { F } = \nabla f$ ..
$$\mathbf { F } ( x , y , z ) = ( 3 \sinh 5 z ) \mathbf { i } + \left( 2 e ^ { 5 z } \cos 2 y \right) \mathbf { j } + ( 15 x \cosh 5 z ) \mathbf { k }$$

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