Answer:

Step-by-step explanation:
Let r be the radius of the semicircle, then 2r is the width of the rectangle. Let y be the length of the rectangle. The perimeter of the window consists of two lengths, one width and length of semicircle, then

Express y:

The area of the window is

Substitute y into the area expression:

Find the derivative A':

Equate A' to 0:

When
then
and the function A is increasing, when
then
and the function A is decreasing. This means that at point
the function A takes it maximal value (the area is maximal).
Answer:
Any value of x
makes the equation true.
All real numbers
Interval Notation:
(−∞,∞)
Step-by-step explanation:
Any value of x makes the equation true.
Answer:
C.y=3|x| and A. 4<x<=5
Step-by-step explanation: