Find and Classify the Relative Extrema and Saddle Points of the Function

question 39

Multiple Choice

Find and classify the relative extrema and saddle points of the function $f ( x , y ) = e ^ { - 2 x } \sin 4 y$ for $x \geq 0$ and $0 \leq y \leq \frac { \pi } { 2 }$

• A) None
• B) Relative maximum \(f \left( 0 , \frac { \pi } { 8 } \right) = 1\)
• C) Saddle point \(( 0,0,0 )\)
• \(\mathrm { d } .\) Relative minimum \(f \left( 0 , \frac { \pi } { 4 } \right) = 0\)

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Definitions:

Subsequent Encounter

A term used in medical billing to denote a follow-up visit after the initial treatment of an injury or condition.

Sacrococcygeal Joint

The joint between the sacrum and the coccyx tailbone at the base of the vertebral column, allowing for slight movement.

Dislocation

The displacement of a limb, bone, or organ from its customary position.

Guidelines

Systematically developed statements to assist practitioner and patient decisions about appropriate health care for specific clinical circumstances.