What Is the Shortest Distance from the Point (0,1)to the Curve

question 74

Short Answer

What is the shortest distance from the point (0,1)to the curve $y=e^{x}$ ? You will need to use a calculator with root-finding capabilities.Give your answer to 2 decimal places.

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Definitions:

Monoamines

A group of neurotransmitters, including dopamine, serotonine, and norepinephrine, that play key roles in regulating mood, arousal, and cognition.

Endorphins

Natural, opiate-like neurotransmitters linked to pain control and to feeling pleasure.

Dopamine

A neurotransmitter in the brain that plays a key role in regulating mood, motivation, and reward, among other functions.

Action Potential

A rapid, temporary change in the electrical charge of a cell membrane, essential for nerve signal transmission.