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

question 137

Short Answer

Determine whether F is conservative. If so, find a function f such that $\mathbf { F } = \nabla f .$ . $\mathbf { F } ( x , y , z ) = ( 6 \sinh 2 z ) \mathbf { i } + \left( 3 e ^ { 5 z } \cos 3 y \right) \mathbf { j } + ( 12 x \cosh 2 z ) \mathbf { k }$

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Definitions:

Firm-Specific Human Capital

Skills, knowledge, and abilities that an employee acquires through training and experience that are valuable to a specific firm.

Tacit Knowledge

Knowledge that is difficult to transfer to another person by means of writing it down or verbalizing it, often gained through personal experience.

Civilian Conservation Corps

A public work relief program in the United States during the Great Depression that provided unskilled manual labor jobs related to the conservation and development of natural resources.