Find the Slope of the Polar Curve at the Indicated $$r = 6 ( 1 + \cos \theta ) , \theta = \frac { \pi } { 4 }$$

question 75

Multiple Choice

Find the slope of the polar curve at the indicated point.
- $$r = 6 ( 1 + \cos \theta ) , \theta = \frac { \pi } { 4 }$$

• A) \(1 - \sqrt { 2 }\)
• B) \(4 \sqrt { 2 }\)
• C) \(\frac { \sqrt { 3 } } { 3 }\)
• D) \(- 2\)

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Definitions:

Visual Reflexes

Involuntary responses to visual stimuli, such as blinking or pupil contraction.

Midbrain

A part of the brainstem involved in vision, hearing, motor control, sleep/wake, arousal (alertness), and temperature regulation.

Pons

A part of the brain located in the brainstem, connecting the medulla oblongata and the thalamus, playing a key role in controlling breathing, communication between different parts of the brain, and sensations such as hearing, taste, and balance.

Thalamus

Structure that acts as a relay station for sensory information heading to the cerebral cortex for interpretation; a subdivision of the diencephalon.