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.
Hello. I do not know this answer on the spot. But there is an app called mymath and you can download it on any apple or android device that will give you the answer to any of the variables in the equation. Hope it helps
The absolute value of a number is how far away it is from 0 on a number line.
Example) 2 is two numbers away from 0, but neg. 2 (-2) is also two numbers away from 0
So basically. A positive number has the absolute value of itself. (2= a value of 2) and negative numbers have the absolute value of the positive form of that number. (-9= a value of 9)
Numbers that have the absolute value of 2: 2 and -2
Numbers that have the absolute value of 4: 4 and -4
Numbers that have the absolute value of 9: 9 and -9
You are looking to add your numbers together to make a positive.
So the answer is the positive answers to the absolute values: 2,4,9
2+4+9=15
15 is a positive number.
Neurologists are specialists who treat diseases of the brain and spinal cord, peripheral nerves and muscles. Neurological conditions include epilepsy, stroke, multiple sclerosis (MS) and Parkinson's disease.
Answer:
(8n^4-6n+8n^2)+(6n^4-4)
8n^4 + 8n^2 - 6n + 6n^4 - 4
<u>14n^4 + 8n^2 - 6n - 4</u>
Step-by-step explanation:
