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.
Let's define each choice to differentiate which is the answer
A. Equivalent - equivalent equations may not look exactly the same on face value. But they are equivalent because they have the same exact solution.
B. Expressions - expression is a general term for equations that are formed from word problems
C. Equal - equal equations are the exact duplicate of each other
D. Similar - this term is only used on geometric shapes to tell that the two shapes have a fixed ratio of their similar sides or angles
E. Radical - radical equations are those involving fractions
Therefore, from their descriptions, the answer is A.
Answer:
1/3
Step-by-step explanation:
Divide the numerator and denominator by 6.
6/18 = 1/3
Answer:
20%
Step-by-step explanation: