Minimize
subject to
. The Lagrangian would be
and has partial derivatives
Setting each partial derivative to 0, we have
From the third equation, it follows that either
or
. In the second case, we arrive at a contradiction:
since both
and
must be non-negative, yet this would mean e.g.
. So it must be that
.
The first and second equations then tell us that
from which we obtain
.
Thus the points on the cone closest to (16, 6, 0) are
.
Answer:
9
Step-by-step explanation:
Answer:54 1/72
Step-by-step explanation: 1st you multiply the whole numbers. 2nd multiply denominators (8•9) =72 3rd put into fraction form. So your answer is 54 1/72. Does this make sense?
Answer:
y + 10 = 8(x + 8)
Step-by-step explanation:
m = 8
( -8, -10)
Point slope form:
y - y1 = m(x - x1)
y + 10 = 8(x + 8)
Answer:
<u>The correct answer is C. It is the original amount of money the bank loans the borrower.</u>
Step-by-step explanation:
Let's recall that are five basic elements for calculating the payment of a loan:
1. The principal. How much money you borrow.
2. The interest rate. How much money you will pay in addition to the principal.
3. The period of time. How long will it takes you to pay the loan.
4. The frequency of payment. Will you pay every month?, every quarter?, every year or maybe every two weeks?
5. Additional payments. When you have additional income seasonally and you want to lower either the period of time or the interests to pay.