Ask
your own question, for FREE!
Mathematics
Just another super easy problem, Let \(x, y, z \in \mathbb{R}^+\) such that \(x +y +z =\sqrt{3} \) . Find the maximum value of \[ \frac x{\sqrt{x^2+1}} +\frac y{\sqrt{y^2+1}} +\frac z{\sqrt{z^2+1}} \]
Still Need Help?
Join the QuestionCove community and study together with friends!
It wouldn't just happen to be 1.5 would it?
Yes, what did you used ? ;)
Lucky guess ;)
lol, The options given were tricky so guessing won't work :( The actual solution is very cute and enlightening :)
yeah I see it as there being two options, the boundaries of \(x+y+z=\sqrt3\) or the average where \(x=y=z=\frac{\sqrt3}3\) what kind of proof you want that this is the maximum I'm not sure; you could use calculus I would imagine
Still Need Help?
Join the QuestionCove community and study together with friends!
cross multiply
x(y+z) + y(x+z) + z(x+y)
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
kevin565445432:
can u guys help me with math my question is 900+20000
parikhst:
daughter got this question wrong which could be the missing first term of the expression that when fully simplified, would be a binomial with a degree of 4?
weebgirl:
As a person pushes a box across a floor, the energy from the personu2019s moving arm is transferred to the box, and the box and the floor become warm.
lilaspie7:
Ok so Im going to make a remix of Whoopty but how do I cut off the melody and the beat.
LARENZIE:
Why should a writer include a works cited page in a research paper? Check all that apply.
sky18:
any chemical compound that contains carbon solute 2. a liquid that acts to dissolve or suspend substances solvent 3.
19 seconds ago
0 Replies
0 Medals
5 minutes ago
2 Replies
0 Medals
6 minutes ago
1 Reply
0 Medals
2 minutes ago
10 Replies
1 Medal
2 minutes ago
6 Replies
0 Medals
10 minutes ago
2 Replies
0 Medals