Question

Can someone PLEASE help me with number 8 on the attached picture??

Answer 1

Pretty simple let x be the length of wire used to make circle
then length used to make square is 100-x
Area of square is A=(100-x)^2
Since the length of the wire used to make circle would be equal to the circumference
\[x=2\pi r\]
\[r=x/2\pi\]
Area of circle is = \[\pi*r^2\]
=\[\pi x^2/4 \pi^2\]
=\[x^2/4 \pi\]
therefore total area function A(x)=\[(100-x)^2+x^2/4 \pi\]
this the first part of your question

Answer 2

Domain I think you can find for finding maximum and minimum value just used calculus

Answer 3

@ipm1988 . You just derive that function and set it equal to zero wouldn't you? To find the max/min values.

Answer 4

yes