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Use the Chain Rule to Find ws\frac { \partial w } { \partial s }

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Use the Chain Rule to find ws\frac { \partial w } { \partial s } where s=4,t=0s = 4 , t = 0 . w=x2+y2+z2,x=st,y=scost,z=ssintw = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } , \quad x = s t , \quad y = s \cos t , \quad z = s \sin t

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Definitions:

Differential Cost

The amount of increase or decrease in cost expected from a particular course of action compared with an alternative.

Unit Cost

The total expense incurred to produce, store, and sell one unit of a product, including direct materials, direct labor, and overhead costs.

Modifying Style

The process of altering or customizing a particular format or design to meet specific requirements.

Sunk Cost

Costs that have already been incurred and cannot be recovered, which should not influence future financial decisions.

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