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:
15
Step-by-step explanation:
70÷14=5
5×3=15
So the ratio would be 70:15 which can be simplified to 14:3
Absolute value is alwas positive
so all of them excet the 3rd one are false
|w|=0 has 1 solution
if the last one was |w|=1 then ther would be 2 solutions, -1 and 1
answer is |w|=0
Answer:
w=67°
Step-by-step explanation:
First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°
Answer:
Step-by-step explanation:
1 21v - 21
2 3n - 12
3 48x + 18
4 -3b + 9