<span>A composite number, we remember, is a whole number (no decimals or fractions) that can evenly divide (again, into no fractions or decimals) into two numbers other than itself and 1 (sort of the opposite of a prime number).
So, 8 needs to be one of the two numbers. Pick another number--any whole number--and multiply it by 8. The result will be your composite number.
Two examples: 8 times 6 equals 48. This works as 48 divided by 8 equals 6, both of which are whole numbers other than 48. Another is 72, the product of 8 times 9.</span>
Answer:
Required largest volume is 0.407114 unit.
Step-by-step explanation:
Given surface area of a right circular cone of radious r and height h is,
and volume,
To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,
subject to,
We know for maximum volume 
. So let 
be the Lagranges multipliers be such that,
And,
Substitute (3) in (2) we get,
Substitute this value in (1) we get,
Then,
Hence largest volume,
2/3 n = -12 Write equation
(3/2) 2/3n = -12/1 (3/2) Isolate n
n = -36/2 Simplify
n = -18 Answer
Answer:
Here are my hints. You can solve it yourself
1/ xy = -12 --> x = -12/y
2/ (-12/y) + y = -1 --> -(12/y) + (y²/y) = -1 --> -12 + y² = -y --> y²+y-12=0
3/ From y²+y-12=0 we can find y then use y to find x and then do your
(x+3) * (y+3)
(8,5)
(-9,5)
=
0/17
Answer is Zero
