Determine Whether or Not F Is a Conservative Vector Field $\mathbf { F } = \nabla f .$

question 3

Short Answer

Determine whether or not F is a conservative vector field. If it is, find a function f such that $\mathbf { F } = \nabla f .$ $\mathbf { F } = ( 6 x \cos y - y \cos x ) \mathbf { i } + \left( - 3 x ^ { 2 } \sin y - \sin x \right) \mathbf { j }$

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Definitions:

Remanufacturing

The process of rebuilding a product to specifications of the original manufactured product using a combination of reused, repaired, and new parts.

Flexible Manufacturing

A production method that is designed to easily adapt to changes in the type and quantity of the product being manufactured.

Design For Disassembly

A design process aimed at making products easier to disassemble at the end of their life cycle, facilitating recycling or disposal.

Mediating Technology

Links people together in a beneficial exchange of values.