Question

Find the largest real value of :

Answer 1

\[\sqrt{(x-20)(y-x)}+\sqrt{(140-y)(20-x)}+\sqrt{(x-y)(y-140)}\]where
\[-40 \le x \le 100\] and
\[-20 \le y \le 200\]

Answer 2

So I guess you take the derivative here with respect to x and y in order to see where the function has a slope of 0. Then you must also look at the end points to make sure they don't have your maximum value either.

Answer 3

any other method

Answer 4

Possibly, what math class is this?

Answer 5

Brilliant ques hmm..
note that each inside sqrt should be an integer.

Answer 6

you can put some constraints on x and y because you do not want negative numbers
example: x-20 ≥ 0 so x≥ 20

Answer 7

that is not helping

Answer 8

no, and with y-x being neg, it is not even true.

Answer 9

ans.80

Answer 10

[casewise]