$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$

question 23

Multiple Choice

$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$
- $f ( x , y , z ) = \sin ( x y ) \cos \left( y z ^ { 2 } \right)$

• A) \(f _ { x } = y \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { y } = x \cos ( x y ) \cos \left( y z ^ { 2 } \right) - z ^ { 2 } \sin ( x y ) \sin \left( y z ^ { 2 } \right) ; f _ { z } = - 2 y z \sin ( x y ) \sin \left( y z ^ { 2 } \right)\)
• B) \(f _ { x } = y \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { y } = x \cos ( x y ) \cos \left( y z ^ { 2 } \right) - z ^ { 2 } \sin ( x y ) \sin \left( y z ^ { 2 } \right) ; f _ { z } = 2 y z \sin ( x y ) \sin \left( y z ^ { 2 } \right)\)
• C) \(f _ { x } = y \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { y } = x \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { z } = - 2 y z \sin ( x y ) \sin \left( y z ^ { 2 } \right)\)
• D) \(f _ { x } = y \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { y } = z ^ { 2 } \sin ( x y ) \sin \left( y z ^ { 2 } \right) - x \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { z } = 2 y z \sin ( x y ) \sin \left( y z ^ { 2 } \right)\)

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Definitions:

Process Costing Systems

An accounting method used for homogeneous products, allocating production costs based on the processes or departments.

Work in Process Inventory

Goods that are in various stages of production but are not yet finished goods, representing partially completed products in the manufacturing process.

Each Process

Pertains to a specific stage in production or manufacturing where materials, labor, or overhead are applied to the product.

Process Costing

A costing method used where similar goods or services are produced in mass quantities, and the cost of producing each unit is assumed to be the same.