Answer:
31.4 meters
Step-by-step explanation: use the formula 2 times pi times 5 then you just plug in 5 into the radius
Answer:
Step-by-step explanation:
then the equation reads:
The standard form of an quadratic function is:
So the answer is:
Answer:
Not a function
Step-by-step explanation:
If it was a function there should be only one values for every x, in this case there is two values for x=0. Doesn't pass the vertical test.
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:
14
Step-by-step explanation:
f(2)+g(2)
(2+4)+(2×2+4)
6+8
14
