anonymous
  • anonymous
Just another super easy problem, Let \(x, y, z \in \mathbb{R}^+\) such that \(x +y +z =\sqrt{3} \) . Find the maximum value of \[ \frac x{\sqrt{x^2+1}} +\frac y{\sqrt{y^2+1}} +\frac z{\sqrt{z^2+1}} \]
Mathematics
jamiebookeater
  • jamiebookeater
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

KingGeorge
  • KingGeorge
It wouldn't just happen to be 1.5 would it?
anonymous
  • anonymous
Yes, what did you used ? ;)
KingGeorge
  • KingGeorge
Lucky guess ;)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
lol, The options given were tricky so guessing won't work :( The actual solution is very cute and enlightening :)
TuringTest
  • TuringTest
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
anonymous
  • anonymous
cross multiply
anonymous
  • anonymous
x(y+z) + y(x+z) + z(x+y)

Looking for something else?

Not the answer you are looking for? Search for more explanations.