Find the Slope of the Curve at the Given Point $$y = x ^ { 2 } + 5 x , P ( 4,36 )$$

question 51

Multiple Choice

Find the slope of the curve at the given point P and an equation of the tangent line at P.
- $$y = x ^ { 2 } + 5 x , P ( 4,36 )$$

• A) slope is \(13 ; y = 13 x - 16\)
• B) slope is \(\frac { 1 } { 20 } ; y = \frac { x } { 20 } + \frac { 1 } { 5 }\)
• C) slope is \(- \frac { 4 } { 25 } ; y = - \frac { 4 x } { 25 } + \frac { 8 } { 5 }\)
• D) slope is \(- 39 ; y = - 39 x - 80\)

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Definitions:

Underactive Pituitary

A condition where the pituitary gland does not produce adequate amounts of certain hormones, which can affect various bodily functions.

Endocrine System

A network of glands and organs that secrete hormones directly into the bloodstream to regulate bodily functions and processes.

Somatic System

A part of the peripheral nervous system that handles voluntary control of body movements via skeletal muscles.

Limbic System

A complex system of nerves and networks in the brain, involved in basic emotions and drives, such as fear, pleasure, and anger.