Answer:
<u><em>1 27/100</em></u>
Step-by-step explanation:
The answer is x^3+15x^2+75x+125
Work: (x+5)^3 , x^3+3x^2*5+3x*5^2+5^3 , 3x*25+125+x^3+15x^2 and you get x^3+15x^2+75x+125
Answer: i think 1/4
Step-by-step explanation: maybe i might be incorrect
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.
I think its 4 sorry if im wrong
