seanieg89
Well-Known Member
- Joined
- Aug 8, 2006
- Messages
- 2,662
- Gender
- Male
- HSC
- 2007
But do you know whether or not there is a known cartesian equation for this thing or are you just exploring?Visual confirmation.
But do you know whether or not there is a known cartesian equation for this thing or are you just exploring?Visual confirmation.
MX2 difficulty:
This question got asked whilst I was busy, and was also solved. But I'm asking it here because I'm wondering if anyone knows what the most elegant method of proof is:
I have a cartesian equation. Whether it's elegant or not is another matter entirely.But do you know whether or not there is a known cartesian equation for this thing or are you just exploring?
I think this was asked before. Check out this thread: http://community.boredofstudies.org/1003/maths/335733/another-hard-vectors-question.htmlThis is messing with my head thoroughly (+ I am tired of course).
Given answer (where I'm pretty sure the ^T is just transpose, because they love column vectors)
You may NOT assume that the logarithm and the exponential functions are inverses AS exp: R -> [0, inf) is defined OUT of the inverse function theorem and is not proven in advance here.
What is the area bounded by the entire curve?Okay, had another look at it after my meeting today. My parametric form looks correct, and leads to a cartesian equation pretty straightforwardly.
I am sure the analogous computations for the hyperbola are quite similar.
A few questions this time:
---> Not too sure how to prove that the integral from 1 to xy is the same as from x to y
A few questions this time:
---> Not too sure how to prove that the integral from 1 to xy is the same as from x to y