Recent content by mirajshah

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...

Oh my god, the limit is -∞? I'm so sorry guys, I feel like a real idiot. Thanks for the help!

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...

Read the problem buddy. The limit is to be taken approaching the point (1, -1, 1), which is a point that doesn't lie on any of the axes.

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...