The Lagrangian for this function and the given constraints is

which has partial derivatives (set equal to 0) satisfying

This is a fairly standard linear system. Solving yields Lagrange multipliers of

and

, and at the same time we find only one critical point at

.
Check the Hessian for

, given by


is positive definite, since

for any vector

, which means

attains a minimum value of

at

. There is no maximum over the given constraints.
The answer is 4.5 × 10 -8
Answer: x = 2
/3 , − 1
Step-by-step explanation:
Answer: 31 and 1/9
Step-by-step explanation:
d =29, for g=16,h=9
replace values of each number in equati/on:
d+g/h=29+19/9=(9*29+19)/9=( 261+19)/9=280/9= 31 and 1/9
5 pounds=80 oz
6 quarts =192 fluid oz
9 liters =9000milliliters