As tkhunny said, the basic way to prove each of these is to use separate cases. The first three will be similar: show that it is true for all x >= 0,...
When a question is confusing, helpers need more information; it's not a matter of your doing something wrong. Here, your pictures are a little fuzzy,...
You haven't actually said how you are making the shelves out of rods (are they just the perimeter, and some other material fills in the middle?), or...
Comparing my spreadsheet with your data, I realized I was using the wrong balance for the interest calculation. Fixing that gives me more or less the...
Given that this is the question, what you did almost makes sense. But the numbers you averaged are not 25% for one room, and so on! You took visiting...
I'm confused. How can you tell what kind of solution it has, when three coefficients are unknown? Did it actually ask you to find conditions on a, b,...
If you can confirm or correct the numbers in the first three columns of my spreadsheet, I can tell you how I did the rest, which I think is the best...
Again, this is very hard to follow, both due to the pictures and the English. I read it as:
Let T:R3->R3 be a non-linear mapping defined by T(x,y,z)...
These questions would be much easier to read if you just typed them. But also, you have clearly translated from another language, and your English is...
That's a lot to ask us to look through, but most of it is a quick scan. I can't promise not to have missed anything, but the only error I saw was on...
I was a software engineer for many years, and have been teaching at a community college since 2004. Since 1998, I was a part of Ask Doctor Math (http://mathforum.org/dr.math/ and now http://themathdoctors.org/).