Calculate the Values Of $\frac { \partial f } { \partial x }$

question 2

Multiple Choice

Calculate the values of $\frac { \partial f } { \partial x }$ , $\frac { \partial f } { \partial y }$ , and $\frac { \partial f } { \partial z }$ at $( 8,3,4 )$ . $f ( x , y , z ) = x y z$

• A) \(\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 12\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 32\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 0\)
• B) \(\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 24\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 32\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 12\)
• C) \(\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 12\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 24\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 32\)
• D) \(\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 12\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 32\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 24\)
• E) \(\left. \frac { \partial f } { \partial x } \right| _ { ( 8,3,4 ) } = 32\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 12\) , \(\left. \frac { \partial f } { \partial y } \right| _ { ( 8,3,4 ) } = 24\)

---

Definitions:

Estimating Components

The process of assessing and predicting the necessary elements, costs, and resources for a project or manufacturing process.

Time Estimates

The approximation of the amount of time needed to complete tasks or projects, often used in planning and scheduling.

Probabilities

A measure or estimation of how likely it is that an event will occur, expressed as a number between 0 and 1.

Generating Alternative Solutions

The process of identifying multiple potential responses or strategies to address a given problem or challenge.