teh winrar is JAP

also my post count is no longer a perfect sq

like electrons

so if f(x) = x + 3, that means when x = 3, f(x) = 6

log(8) with base 2 equals 3 since 2^3 = 8

x^2 -5x + 6 is an example, which can be factored to (x - 2)(x - 3)

just use long division and pretend the variables are numbers

or you get an asymptote, or an inapproachable line

tangent on a graph is impossible to describe so go google it

e.x. since sin(π/6) = 1/2, therefore arcsin(1/2) = π/6

so f(x) = |x| means f(x) is always positive and it will look like a 'V' shape on a graph

Factorials can calculate combinations, like the number of ways you can arrange the letters 'ABCD'. Since there are four letters, 4! = 4 * 3 * 2 * 1 = 24 ways you can arrange those letters

So a vector (3, 1, 2) means going 3 units on the x-axis, 1 unit on the y-axis, and 2 units on the z-axis, where x-axis is length, y-axis is width, and z-axis is height (usually)

If scalar = 0, the vectors are perpendicular, and the vector product is a third vector perpendicular to the plane containing the two original vectors

So if the vector (4, -1, 3) is perpendicular to the plane, then the equation of the plane is 4x - y + 3z = d where you can solve for 'd' if you know a point on the plane (just plug the point coordinates into the equation)

i is called a complex number and it's complex awrite

A complex number 2 + 3i can be described by the vector (2, 3) meaning that you go 2 units on the real axis and 3 units on the imaginary axis

arg(√3 + i) means arctan(1/√3) which is equal to 30 degrees or π/6

there are simple rules for finding derivatives which you can google

Integrating is much harder so go download Wolfram Alpha already

Volume = π * ∫f^2(x) dx

If the function decreases fast enough, you actually get a non-infinity value

If the sequence approaches some limit

If the sum to infinity exists (by comparing the series to another series or integral), the series is convergent, otherwise it is divergent

f(x) = f(0) + xf'(0) + (x^2/2!)f''(0) + (x^3/3!)f'''(0) + ....

ex. f'(x) = y + 2x

Like integrating both sides

Called pascal's triangle

So far only Bridge appears capable of solving it.

You probably need to use this formula

Use binomial theorem, (1/3 + 2/3)^8 and look for (8!/[3!*5!]) * (1/3)^5 * (2/3)^3

i.e. not likely

Prove that P(1) is true and then prove P(n + 1) is true for all P(n)

congratulations you passed high school math

something that ALIAS didn't, btw

No, actually, I enjoyed it so much that I took the harder version of the course and then proceeded to bang my head against my textbook in despair when we started doing related rates.

But seriously, I never want to see a question about an upside-down cone-shaped basin filled with chocolate/molasses/gasoline/water draining at a given rate and being filled at a different given rate ever again.

Although if you gave me a question like that, you could watch me impulsively attempt to solve it like a trained monkey and make a complete fool of myself :D