Answer:
[tex]A(x)=x(\sqrt{2500-x^{2} } )[/tex] is the area expressed as function of x,
and x: >0, <50 is the domain of the function.
Step-by-step explanation:
Draw an appropriate figure and then express the area of the rectangle as a function of x.
We know that the diagonal of a rectangle inscribed in a circle, will be equal to the diameter of the circle. 50 feet
let w = the width of the rectangle
therefore
[tex]x^2 + w^2 = 50^2\\w^2 = 2500 - x^2\\w = \sqrt{2500-x^{2} }[/tex]
recall
Area = x*w
replace w
[tex]A(x)=x(\sqrt{2500-x^{2} } )[/tex] is the area expressed as function of x
b)state the domain of the function
x: >0, <50
