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Question Bank : Age Group 1617 : I1. Find the angle between the asymptotes to the hyperbola 3x²  5xy 2y² + 17x + y + 14 = 0. 3. If , find. 4. Solve: . 5. Find the equation of the ellipse whose foci are (4,0) and (4,0) and . 6. For what values of x is the rate of increase of twice the rate of increase of x? Character is who you are when no one is looking. #2 20090507 07:06:17
Re: Question Bank : Age Group 1617 : IGanesh, can you make a question bank for younger kids? I'll be here at least once every month. XP #3 20090816 00:32:40
Re: Question Bank : Age Group 1617 : IHi ganesh #4 20090816 20:03:58
Re: Question Bank : Age Group 1617 : IHi ganesh #5 20090816 20:11:24
Re: Question Bank : Age Group 1617 : IHi ganesh #6 20090816 20:24:04
Re: Question Bank : Age Group 1617 : IHi ganesh; Integrate both sides: Raise both sides to the power of e. c= e^c Invert both sides and solve for y: Solution is: Last edited by bobbym (20090816 20:26:56) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20090817 06:00:57
Re: Question Bank : Age Group 1617 : IHi ganesh; #8 20090817 06:09:07
Re: Question Bank : Age Group 1617 : IHi ganesh; #9 20090911 17:52:38
Re: Question Bank : Age Group 1617 : I1. Find the angle between the asymptotes to the hyperbola 3x²  5xy 2y² + 17x + y + 14 = 0. using the formulae for the axes of rotation We then substitute these into the given equation and after some work we get.. The x'y' terms cancel and after much, much more work we end up with... (I changed x' and y' to simply x and y) Now here I had a little help from the computer and amazingly... continuing further along we eventually end up with... So the slope of the asymptotes are The hyperbola is oriented parallel to the yaxis and to get the angle between the asymptote and xaxis we use So the angle between the asymptotes is or on the other side the angle is I hope I did everything right. I wouldn't wish this problem upon my worst enemy. Last edited by Fruityloop (20090911 19:36:40) The eclipses from Algol (an eclipsing binary star) come further apart in time when the Earth is moving away from Algol and closer together in time when the Earth is moving towards Algol, thereby proving that the speed of light is variable and that Einstein's Special Theory of Relativity is wrong. 