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For the first one, do what jonmack did by substituting v = x - y + 3. When you take the derivative of both sides this equation
dv/dx = 1 - dy/dx.

So,

v = x - y + 3 and dy/dx = 1 - dv/dx ...

Let's use this naming convension instead: A and B are your known points, w is your known angle, d is your known distance, C is your unknown point. Make sure you redraw your graph with this in mind....

Haha, well I tried ericlin's code out for the heck of it, and I got n=54.

Anyways, this is where the problem lies, using simple code will usually give you erroneous answers when doing these...

If it's going to take you an infinite amount of steps then you won't hit the wall. I say this because taking an infinite amount of steps means your going to be taking steps forever.

Physically,...

SIDE NOTE:
For those of you who are wondering, "gradient of a line" is synonymous with "slope of a line".

You're welcome. :D

Unless you can see a way to just straight out factor this shiznick, I would use the quadratic formula. Which is what I did.

Just for reminder, the quadratic formula is


for the equation ax^2 +...

Yes, of course it's possible to rotate linear functions. In fact it's possible to rotate any type of function programatically. Rotating is used all the time in 3D and sometimes in 2D as well. The...

1.) If you are in Calculus I, then you will probably have to apply the "Squeeze Theorem" to find the limit of sin(7x)/11x as x approaches zero. If you're in Calculus II, then you can simply use...

I just read a little about the method your talking about at this site:
http://www.flipcode.com/tpractice/issue01.shtml

So from what I gather, using a quadratic equation, we can find the time when...

Swwwoooooossshhhh!

:D

Try


Math.pow(base, exponent);

In your case you can do


Math.pow(1+i, n);

How about this?



a = <-3, -1, 5>
b = <1, 4, -3>

// Cross Product
a X b = -17i - 4j - 11k

It depends on what kind of calculus you are taking. Business calculus? Calculus with transcedental functions? In business calculus you don't deal with trig much. Calculus with trascendental functions...

This is probably a little to late but....

Using the formal definition of a limit (the epsilon-delta definition - look it up):


lim (3x+2)=5
x->1

Show that for all epsilon > 0, there...

Glad I can help. Heh..teachers, why can't they just tell you? Huh? :) Anywho, you should do a search for "imaginary numbers" and/or "complex numbers" for some basics and such about "i".

There's...

There are two vector classes on this site:

http://www20.brinkster.com/ahab/library/index.htm

Hey, you're the moderator. Tell the admin to enable the superscript and subscript tags (and possibly the font tag for use with the "symbol" font). :D

Is that x^2 = -4 (this means x squared equals...

Math.abs(number)

No kidding, the moderator or admin should turn on html code so we can use superscripts, subscripts, and other things to be able to communicate better with eachother.

Anyways,


cot(x)...

sec^2(x) - 4 = 0

Use the secant/tangent Pythagorean identity:
(sec x)^2 = (tan x)^2 + 1

So,
[(tan x)^2 + 1] - 4 = 0
(tan x)^2 - 3 = 0
(tan x)^2 = 3
sqrt(tan^2(x)) = +/-sqrt(3)

If you want to find a fraction to practically any decimal number using Flash, I have written a decimal to fraction (mixed fractions too) convertion prototype. You can get it here:...

Ah!! Duh, I finally got it. It ends up I was doing it right all along. I just was doing some funky algebra at the end. Here's how I did it if anyone's interested. Hehe, I also made a Flash demo so I...

You could just assign variables to dynamic text fields.

Try this:


// Create some text fields to display your variables
_root.createTextField("tfGravity", 1, 10, 10, 40, 20);...

Hi, I was just reviewing some calc problems and came across this one. Can anyone help me understand how this problem is to be solved? (Hints, tips, or whatever)
Minimum Length:
Two factories are...