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question 123

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For the function For the function   : ​ (a) Find the critical numbers of f (if any) ; (b) Find the open intervals where the function is increasing or decreasing;and (c) Apply the First Derivative Test to identify all relative extrema. ​ Then use a graphing utility to confirm your results. ​ A) (a)    (b) increasing:   ;decreasing:   (c) relative max:   ;relative min:   ​ B) (a)    (b) decreasing:   ;increasing:   (c) relative min:   ;relative max:   ​ C) (a)    (b) increasing:   ;decreasing:   (c) relative max:   ;no relative min.​ D) (a)    (b) increasing:   ;decreasing:   ​(c) relative max:   ;relative min:   ​​ E) (a)    (b) decreasing:   ;increasing:   (c) relative min:   ;relative max:  : ​
(a) Find the critical numbers of f (if any) ;
(b) Find the open intervals where the function is increasing or decreasing;and
(c) Apply the First Derivative Test to identify all relative extrema.

Then use a graphing utility to confirm your results.


Definitions:

Oxygen-poor Blood

Blood that has a reduced oxygen content, typically found returning to the heart via the veins.

Interventricular Septa

The thick wall separating the lower chambers (ventricles) of the heart.

Auricles

Auricles, in anatomy, primarily refer to the external part of the ear; however, they can also denote ear-like extensions or appendages in other organs, such as the atria of the heart.

Serous Membrane

A smooth tissue membrane consisting of two layers of mesothelium, which secrete serous fluid to lubricate and reduce friction between tissue layers.

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