A Cylinder Has a Height That Is 4 More Than

question 229

Essay

A cylinder has a height that is 4 more than the diameter of its base.
(a)Write the area of its circular base as a function of its radius.
(b)Write the volume of the cylinder as a function of its radius.
(c)Without simplifying,write the ratio of the area of the circular base and the volume of the cylinder as a function of the radius.
(d)Simplify the function you wrote in c.
(e)What kind of function is this?
(f)What is its domain out of context?
(g)What is its domain in the given context?

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Definitions:

Mean

Often referred to as average; the sum of all the numbers in a data set divided by the number of elements in the data set.

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An individual with whom one shares a romantic relationship, characterized by feelings of love, attraction, and commitment.

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A person's closest and most trusted friend, who is considered the most important friend in one's life.

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The area or room in a building where one resides or spends a significant portion of their daily life, typically including areas for sleeping, eating, and socializing.