Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
The radius is 4 feet
Step-by-step explanation:
<u>Area of a circle: A = π * r^2</u>
<u />
<u>Step 1: Solve for r</u>
16π / π = π * r^2 / π
sqrt(16) = sqrt(r^2)
<em>4 = r</em>
<em />
Answer: The radius is 4 feet
The domain of the graph is [2≤x≤5] (answer choice B)
56 is your answer.
Equation for direct proportion is y = kx where k is the constant of proportionality. For your letters, it’s f = ka
We know 72 =k9, so k = 8
Then they want you to solve
f = 8•7
f = 56
Answer:
the second one
Step-by-step explanation:
