<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
That would be "c" because you would have to subtract 85 from 120 and then your answer is less then 85
Hi there!
5.
Use the property:
Now, solve by variable.
Rewrite:
6.
Solve the inside of the parenthesis, and each term separately.
Use the property:
7.
Solve like above:
The negative exponent indicates taking the reciprocal. Using the property:
Therefore: