Provide an Appropriate Response $r = \frac { 1 } { 1 + \cos \theta }$

question 83

Essay

Provide an appropriate response.
-(a) Graph the curves $r = \frac { 1 } { 1 + \cos \theta }$ and $r = \frac { 1 } { 1 - \cos \theta }$ .
(b) Find polar coordinates of the points of intersection of the curves in part (a).
(c) Show that at the points of intersection the tangent lines to the curves are perpendicular to each other.

---

Definitions:

SSRI

Selective Serotonin Reuptake Inhibitors, a class of drugs typically used as antidepressants in the treatment of major depressive disorder and anxiety disorders.

Serotonin

A neurotransmitter involved in many functions including mood regulation, digestion, and sleep.

Amygdala

A part of the brain located in the temporal lobe, known for its role in processing emotions, especially fear and pleasure.

fMRI Machine

A device used in neuroimaging to measure and map brain activity through changes in blood flow.