Recent content by Fuz

Yes I have learned this, and that basically answered my question, but then what is the point in just setting x equal to t?

What was your motivation for setting x = cos(t) and y = sin(t)? Is there a method for turning an equation into a set of parametric equations?

How do you take an equation and turn it into a parametric one? Eliminating the parameter is straightforward and easy; but I'm trying to go the other way. e.g. what steps would one take to convert some curve like y = x2 or x2 + y2 = 1 into parametric equations with 't' as the...

Can you show me the steps for one of them? I've already tried solving them myself, but got nowhere.

How do you go about solving implicit equations for y in terms of x that look like these? y2 + yx = 1 and y3 + yx = 1 or even more complicated implicit equations. I'm taking AP Calculus AB this year and am just curious how this is done. Here are the solutions from Wolframalpha...

I've taken 3 years of algebra, and took pre-calculus last year. I've just forgotten how to do the problem.

Because: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 > 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 *...

Why? That's not at all what true randomness is. Go here: http://www.random.org/cgi-bin/randbyte?nbytes=20&format=b and hit refresh a bunch of times.

The probability of drawing a red marble, then a black marble, then a red marble out of a bag is 1/8. The probability of drawing 2 consecutive black marbles out of a bag is 1/4. I was taught this when I took pre-algebra in 6th grade.

Explain please...

Yes, I'll take that bet, because that is equivalent to saying RBR will show up more often than simply BB.

We havn't tried this experimentally, so how could we know? Also, why does it matter whether the string of outcomes are of the same color? The roulette table doesn't know or care whether black shows up or red shows up. The permutation of N consecutive outcomes has the exact same theoretical...

I'm actually just taking high school level AP Calc AB, but I was curious how you would solve equations like this one.

How do you go about solving equations for x that look something like this: x3 - x2 + x - 2 = 0 I'm stumped when I get to: x(x2 - x + 1) = 2 All insights appreciated! :)

I appreciate your help. So do you have to declare that y = f(x) before you use f(x) everytime? I'm not sure if my understanding is correct, but if you have f(x) = x2 + 1, is the "f" just a synonym for "x2 + 1" while "f(x)" is the number you get when you set "x" to some number in the function "f"?