Find the Extreme Values of the Function Subject to the Given

question 314

Multiple Choice

Find the extreme values of the function subject to the given constraint.
- $f ( x , y ) = 3 x - y + 1 , \quad 3 x ^ { 2 } + y ^ { 2 } = 9$

• A) Maximum: 7 at \(\left( \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right) ;\) minimum: \(- 5\) at \(\left( - \frac { 3 } { 2 } , \frac { 3 } { 2 } \right)\)
• B) Maximum: 4 at \(\left( \frac { 3 } { 2 } , \frac { 3 } { 2 } \right) ;\) minimum: \(- 2\) at \(\left( - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right)\)
• C) Maximum: 4 at \(\left( \frac { 3 } { 2 } , \frac { 3 } { 2 } \right) ;\) minimum: \(- 5\) at \(\left( - \frac { 3 } { 2 } , \frac { 3 } { 2 } \right)\)
• D) Maximum: 7 at \(\left( \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right) ;\) minimum: \(- 2\) at \(\left( - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right)\)

Understand the role of thermodynamics in maintaining biological order within organisms.

Grasp the relation between the structure of molecules and their potential energy in biological systems.

Explain the concepts of entropy and enthalpy in the context of biological processes.

Understand the key components of a résumé, and what information should be included or excluded.

---

Definitions:

Prime Mover

The muscle primarily responsible for generating a specific movement.

Agonist

A substance that fully activates the receptor to which it binds, leading to a biological response.

Antagonist

In pharmacology and physiology, an antagonist is a substance that blocks or dampens the effects of a neurotransmitter or hormone; in literature, it describes a character that opposes the protagonist.

Hip Flexor

A group of muscles near the hip that are involved in moving the upper leg towards the body.