Recent content by Chelonian

Thank you very much. I don't know how my g value slipped out of my functions, but I'm glad I fixed it. When I just made that change, I ended up with negative values one iteration earlier then you did. What should the initial position and velocity equations be? I don't see what's wrong with them...

I am attempting to create a spreadsheet that models the flight path of a sphere. My model should consider air resistance, but I've opted to ignore magnum. As a resource to help me, I'm using http://www.team2834.com/team_documents/Projectile_motion_with_air_resistance.pdf, but I have ran into...

When I was working on a rather difficult real-life math problem, I nearly found the solution. What I came up with was two inequalities: ##X≥\frac{2b-2}{2a+1}-1## and ##Y≥\frac{2b}{2a+1}-2## and the fact that ##X>Y##. However, ##X## must be an even integer and ##Y## must be an odd integer. Is...

So does that mean that if ##f(a)=f(b)=f(c)## then ##a=b=c## for every system of equations?

I am in 10th grade. The reason I didn't mention that originally was because I know a few things that some other 10th graders may not know about math. I can easily translate a graph (or the axis, of course), but I don't know how to rotate anything other than a simple line in two dimensions...

I can't believe I never thought of that! From there the solution becomes fairly trivial: 2/x^2+9y=2/y^2+9x 2x^2+9x^3y^2=2y^2+9x^2y^3 -9x^2y^3+y^2(9x^3-2)+2x^2=0 (x-y)((3xy)^2+2(x+y))=0 x=y or (9x^2y^2+2x+2y)=0 Quadratic Formula (reject negative solution): y=x or y=(-1+√(1-18x^3))/(9x^2) if...

The plane has a normal vector of (1,1,1)... I don't know what you mean about the others, though. What do you mean by analytic solution? The rest of what I tried is shown below: b=(9a^2+/-√(-18a^3+54a^2-54a+19)-18a+8)/(9(a^2-2a+1)) -(a+(9a^2+/-√(-18a^3+54a^2-54a+19)-18a+8)/(9(a^2-2a+1)))=c...

I know that solving one variable in one equation is always theoretically possible, bit I can't solve the fifth degree equations that result from the method I outlined above (would you like me to go into more detail about what I did?). That is why I feel as though the "brute force" method, the...

I know how to solve a system of equations in general, but I always end up with obscene equations for each variable. I'll add to the first post what I tried, and why I haven't gotten a solution from it. I'm sorry, but I don't know what you mean by symmetric, or what it tells me. Does it mean...

I am having a bit of trouble solving the following system of equations. I know what numbers solve the system, but I can only do so using a computer, such as WolframAlpha. The equations , for those interested, are the four partial derivatives for a Lagrange Multiplier. The four equations are as...