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lil zygote x tc tetra - disparity lyrics

[produced by lil zygote]

[verse 1: lil zygote]
first things first, let’s do basics so your brains don’t burst (godd-mn)
is f continuous? i bet you’re not sure
no! see, there’s a removable discontinuity (uh-huh)
let’s use limits to calculate continuity (let’s go)
limit of f while approaching c exists and equals zero, but
f(c) is defined to be nonzero (no)
to make f continuous, what can we do? (huh?)
let’s redefine f(c) to equal your iq

now derivatives; that’s slightly less primitive
a single simple problem for the simplest of simpletons
d/dx 2x plus e^(4-x)
probably would stump you on the ap test
2x just becomes 2, differentiate e, don’t forget the chain rule
we got negative e, that wasn’t so hard, you see
now find d/dx when x = 4 (plug it in)
oh look at that; it’s your ap score!

[chorus: tc tetra]
why is calc ab the inferior calc ap?
why you only cover half of what’s in bc?
why we scoring 5’s while you can’t even score a 3?
seems to me like there’s an intellectual disparity!

[verse 2: tc tetra]
you’re given this integral, but i’m aware your ability to solve equations is minimal (godd-mn)
your ab curriculum never predicted you’d need to solve over an interval (yeah)
let’s say that u equals x over 6, du is equal to one sixth dx
plug it back in and the integral’s simplified now but i’m sorry to flex
the antiderivative of sine of u is the negative cosine of u (uh-huh)
let’s put it in brackets, make sure that we’re adding the interval 0 to 2 (yeah)
replacing the u with an x over 6 is the next thing that you need to do
now plug in the bounds, subtract what you found, the answer is sitting there waiting for you

that’s level one, now that we’re done, let’s try to solve differential equations
you’re given the slope, as i’m sure you don’t know, and we solve it with backward differentiation
taking dx and dy, put them on opposite sides, then utilize integration
i know that’s a lot for a student from ab to handle, but man, you just gotta be patient
14y turns into 7y^2 and the e^x is the same
add c and divide it by seven and take the square root of both sides of the page
y equals the square root of e to the x over 7 plus c all the way
what can i say? ab is fading away, while bc is getting the straightest of a’s

[beat switch]
(review time’s over, kids)

[verse 3: lil zygote]
ab for us was just review (yeah)
bc for you will be brand new
for example let’s try some sophisticated integration
however, you cannot solve it because it’s too complicated
integral of x times e^x; where do i start? (huh?)
good thing we learned this in prashar’s cl-ss; integrate by parts! (yeah)
could even solve it faster using tabular method (skrrr)
we got math mastered; we’re the stuff of legend

next up, let’s introduce taylor and maclaurin (let’s go)
thanks to their series our ap scores are soaring (soaring)
got lagrange error bound memorized for the frqs
got so many tests for convergence; it’s usually the ratio test i choose (godd-mn)
let’s try it out; is this series convergent? (huh?)
r is greater than 1; guess it diverges (ha)
that means that the sum of the sequence does not exist (huh-uh)
kind of like your p-ssing scores on the ap test

[chorus: lil zygote]
why is calc ab the inferior calc ap?
why you only cover half of what’s in bc?
why we scoring 5’s while you can’t even score a 3?
seems to me like there’s an intellectual disparity!

[verse 4: tc tetra]
returning to action, i’m back, and this time i’m attacking with every fact i redacted
if you thought that bc was easy, the difficulty is increasing so don’t get distracted (let’s go)
parametric equations are first on the list and now this is the one that we’ll use
the y and the x are defined as a function of t and now this is where you get to choose
whether the y or the x’s expression is getting replaced in the other’s equation
for sake of simplicity, look at the 7t minus 11 and isolate t from the x
what to do next? let’s replace the t then square it too
we’ve made this equation rectangular now, but i swear i don’t wanna embarr-ss you

let’s focus on polar equations in order to make it into a rectangular form (okay)
x is the radius cosine of theta but dang it, you ab kids never have learned it before
multiply left and the right by the radius then we can look at this side
plug in the x and the right is cartesian but how can this be simplified?
by the pythagorean theorem this r^2 is equal to y^2 plus x^2
we plug it in check it and every term that we wrote is correct, but what’d you expect?
bc is one of a kind, there is no stopping us, don’t even try
never deflating, we’re staying on top of the game ‘til the day that we die (on jah)

[chorus]
why is calc ab the inferior calc ap?
why you only cover half of what’s in bc?
why we scoring 5’s while you can’t even score a 3?
seems to me like there’s an intellectual disparity!

- lil zygote x tc tetra lyrics

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