Expert: Paul Klarreich - 9/25/2009

Question
A rectangle is bound by the x-axis and a semicircle with the domain [-3,3]. Write the area A of the rectangle as a function of x and determine the domain of the function...

Can you help me with this?

Answer
Questioner: Zach
Country: United States
Category: Calculus
Private: No
Subject: calculus
Question: A rectangle is bound by the x-axis and a semicircle with the domain [-3,3]. Write the area A of the rectangle as a function of x and determine the domain of the function...

Can you help me with this?
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Your semicircle is  y = sqrt(9 - x^2), so the domain of x is -3 <= x <= 3.

The area should be  Width * height, and
width = 2x,
height = y = above.

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I changed your subject line to Max-min because this is probably what you are doing.