Let $L ( x , y ) = a x + b y$

question 62

True/False

Let $L ( x , y ) = a x + b y$ .
There exist values of a and b so that $L ( x , y )$ takes a minimum value of 8 on the unit circle $x ^ { 2 } + y ^ { 2 } = 1$ at the point $\left( \frac { 1 } { 2 } , \frac { - \sqrt { 3 } } { 2 } \right)$ .

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Definitions:

Pancreas

An organ in vertebrates, including humans, involved in the digestion process and insulin production.

Endocrine System

Organ system that coordinates responses among cells of an animal body by means of hormones.

Nervous

Related to the nervous system, involving nerve cells and tissues in transmitting impulses between parts of the body.