Lagrange multipliers:







(if

)

(if

)

(if

)
In the first octant, we assume

, so we can ignore the caveats above. Now,

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of

.
We also need to check the boundary of the region, i.e. the intersection of

with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force

, so the point we found is the only extremum.
Answer:
$24
Step-by-step explanation:
Since you know 5 tickets equal to $60, and you want to find the cost of one ticket, you would divide 60 by 5. 60/5=12. So each ticket costs 12 dollars. But you want to find the cost of two. So multiply $12 by two to get $24 dollars per two tickets.
Answer:
t=10
Step-by-step explanation:
3t + 15 = 45
3t = 30
t = 10
Answer:
243324
Step-by-step explanation:
wow lots of numbers
Answer:
1. V = 94 meters cubed
2. V = 8 feet cubed
3. V = 57 inches cubed
Step-by-step explanation:
The volume of a cone is 1/3 the volume of a cylinder. So all you need to do is plug the numbers into the formula for the volume of a cylinder and then you have the answer.
The formula for a cylinder is V= (3.14 or pi) * radius squared * height
The formula for a cone is V= (3.14 or pi) * radius squared * height * 1/3
So here you go.....
1. V= 3.14 x 9 x 10 x 1/3 V = 94 meters cubed
2. V= 3.14 x 4 x 2 x 1/3 V = 8 feet cubed
3. V = 3.14 x 9 x 6 x 1/3 V = 57 inches cubed
Please give me brainiest!