Parameterize the cylinder (call it
) by

with
and
. Then

Take the normal vector to
to be

Then the flux of
across
is


Answer:
It should be A.
Step-by-step explanation:
When you're using exponents, anything that has an exponent of 0 will be 1.
You can use a calculator to confirm on your own.
Break even point is where all the expense is already covered by the revenue. In this case, the expense would be the stand ($75,000) and the lemon+sugar+water ( $1.25 per glass). The revenue comes from lemonade($30/glass). Then the equation would be:
$30 * glass of lemonade= $75,000 + $1.25 * glass of lemonade
($30-$1.25) * glass of lemonade= $75,000
glass of lemonade= 2608.7
Answer:
he can expect to lose 0.5$
Step-by-step explanation:
To solve this problem we must calculate the expected value of the game.
If x is a discrete random variable that represents the gain obtained when rolling a dice, then the expected value E is:

When throwing a dice the possible values are:
x: 1→ -$9; 2→ $4; 3→ -$9; 4→ $8; 5→ -$9; 6→ $12
The probability of obtaining any of these numbers is:

The gain when obtaining an even number is twice the number.
The loss to get an odd number is $ 9
So the expected gain is:

Provide the approximated measurement to associate the volume of water.