The area enclosed is (2x)(600-2x).(2x)(600−2x)=1200x−4x2
In order to maximize we need the derivative to be equal to 0.y′=1200−8x=0
1200=8x
x=150
Therefore the sides for maximum area are 150*300.
<span>The area is: 45000</span>
Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,
So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:
Where, B is the base area and r is the radius.
So, the base area is square inches.
The volume of the cylinder is:
Where, r is radius, h is height, B is base area.
Putting and , we get
So, the volume is cubic inches.
Therefore, .
Answer:
B) {14,7}
Step-by-step explanation:
If the x-axis increases by 2 and the y-axis increases by 1 then think of it as the y-axis will always be HALF of the x-axis. In this case, 7 is half of 14 (14÷2=7). :)