HallsofIvy, you're completely correct in that I ignored the constraint. My main problem was I had a mental gap in figuring out how to integrate the extremum into the equation. Thanks for the help though, now I've got my answer!
Also, note that the question states that the box is contained...
Homework Statement
What is the maximum possible volume of a rectangular box inscribed in a hemisphere of radius R? Assume that one face of the box lies in the planar base of the hemisphere.
NOTE: For this problem, we're not allowed to use Lagrange multipliers, since we technically haven't...
Doesn't the denominator approach: \left(1+\left(1\times-1\times1\right)\right)=\left(1+\left(-1\right)\right)=\left(1-1\right)=0 ?
sunjin09, I realize I was a little rude with my response and I'm sorry, it's been a tough week. Thanks for the responses guys! I appreciate it.
Quick note...
Homework Statement
Hi everyone! I'm pretty good with multivariable limits, but this one has me stumped:
Find the limit or show that it does not exist:
\underset{\left(x,y,z\right)\rightarrow\left(1,-1,1\right)}{\lim}\frac{yz+xz+xy}{1+xyz}
Homework Equations
The Attempt at a Solution
I could...