Parameterize the ellipsoid using the augmented spherical coordinates:
Then the Jacobian for the change of coordinates is
which has determinant
Then the volume of the ellipsoid is given by
where
denotes the spaced contained by the ellipsoid. In particular, we have the definite integral and volume
Answer:
A - B = C
Step-by-step explanation:
you have to isolate C, so in order to do that you need to subtract the positive B from both sides. so you are left with just C on the right and A - B on the left.
Answer:
210=75x-10x+35
Step-by-step explanation:
So we know to total profit he made is 210 dollars, in which he earned from 3 independent reasons.
The profits he made in per appointment will need a variable because we don't know how many appointments he made. So knowing that we can conclude that 75 dollars and 10 dollars per appointment has to have a variable after it. The same variable as well because both of which are money.
As of the tip, we don't need a variable because it is a one time addtion, he recieved a total of 35 dollars after all of the appointments, so no need to know how many. We already know the total.
So that leaves us to write an equation. The total=$per appointment-fee per appointment+tip. Which becomes 210=75x-10x+35.
Hope this helps!
That means that the discounts are the same
therfor 25% of original=180
multiply both sides by 4 or divide both sides by 0.25
original=720
the equation is
0.25 times original=180
and the original price is $720
