Solve the Problem $\frac { \partial \mathrm { u } } { \partial \mathrm { y } }$

question 324

Multiple Choice

Solve the problem.
-Evaluate $\frac { \partial \mathrm { u } } { \partial \mathrm { y } }$ at $( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = ( 2,3,0 )$ for the function $\mathrm { u } = \mathrm { epq } \cos ( \mathrm { r } ) ; \mathrm { p } = \frac { 1 } { \mathrm { x } } , \mathrm { q } = \mathrm { x } ^ { 2 } \ln \mathrm { y } , \mathrm { r } = \mathrm { z }$ .

• A) 0
• B) 18
• C) \(\frac { 2 } { 3 }\)
• D) 6

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Definitions:

Midpoint Formula

A method used in geometry to find the midpoint of a line segment between two points by averaging the x and y coordinates.

Demand

The consumer's willingness and ability to purchase goods or services at various price points at a given time.

Parallel Demand Curves

Graphical representations of the demand for two or more goods that do not intersect, indicating no direct substitution effect between them.

Elastic

Describes a situation in economics where the demand or supply for a good or service significantly changes in response to changes in price.