Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
Hello from MrBillDoesMath!
Answer:
y^2-5y -4
Discussion:
The problem asks us to find the polynomial, g(y), such that
y^2-5y + 1 - g(y) = 5 => (add g(y) to both sides)
y^2 -5y + 1 - g(y) + g(y) = 5 + g(y) =>
y^2 -5y + 1 + 0 = 5 + g(y) => (as -g(y) + g(y) = 0)
Finally subtract 5 from both sides:
y^2 - 5y + 1 -5 = (5 -5 ) + g(y) =>
y^2-5y -4 = g(y)
Thank you,
MrB
Answer: 200
Step-by-step explanation: to get the radius you divided by 2. bc there is only 2 sides , have a great day.
Integers 13, 15, and 17 equal 45, if that's what you're asking.....