Recent content by Sven

oh okay, I see, thanks. so for the cases I do have... can someone tell me if I'm doing these right? I'm getting stuck on some. If A and B are nonzero, then Ax2 + Bx = 0. Divide by x, then divide by a, and you get x = -B/A. This is a line. Is that right? So if A and C are nonzero, Ax2 + Cy2 =...

Homework Statement Suppose that A and C are not both 0. Show that the set of all (x,y) satisfying Ax^2 + Bx + Cy^2 + Dy + E = 0 is either a parabola, an ellipse, or an hyperbola (or a degenerate case: two lines, one line, a point, or 0.) Now consider separately the cases where A...

Homework Statement I'm trying to prove the Fibonacci formula with induction, but I'm having difficulties. This is what I'm trying to prove: http://www.psc-consulting.ca/fenske/cpjav17e.gif Homework Equations The Attempt at a Solution So I did a base case, n=1. It worked, so...

OHHHHHHHHHH! I see it now! Thank you so much! And thanks for the tip, I'll definitely keep that in mind =) Again, thank you so much for sorting out my slow little brain, lol.

Sorry if this is a really stupid question :( I'm a bit confused on something. I have the whole proof written out and I've checked it everywhere, but I'm confused on WHY for one step. This is for proving 1^2+2^2+...+n^2 = n(n+1)(2n+1) / 6. So, you add (n+1)^2 and all that. I...

Rational and irrational numbers. (semi-urgent) I need to figure this out by tomorrow =/ Homework Statement a. If a is rational and b is irrational, is a+b necessarily irrational? What if a and b are both irrational? b. If a is rational and b is irrational, is ab necessarily irrational...