calculus mashup
Do you want to build a snowman?
Ethan?
(Knock, knock, knock, knock, knock, knock)
Do you want to build a function?
C’mon let’s solve for V(t)
If A(t) is 13x
When t is 6
Then what is V of 3?
We used to set up bounds
And when we didn’t
We always added C.
Do you want to build a function?
It doesn’t have to be a function
Ethan:
Go away Laura
Laura:
Okay bye…
(Knocking)
Do you want to build a function?
Or draw a slope field in the snow?
When I have volume I must integrate
Or differentiate
To find the rate of flow
(It’s -1/4pi)
I sometimes feel regret
Because I forgot
That x’ is V of t
Laura:
(Knocking)
Ethan?
Please I know you’ve solved it,
People are saying that you can’t.
I’ve seen you use the MVT
To prove f prime of c
Equals slope of the secant.
We only have calculus
Chain and trap rule too.
So many problems to do.
99 Problems
If you’re having calc problems I feel bad for you son
I got 99 problems and can solve each one
[Verse One]
I can take the, integral on that interval
Tell you which points will be critical
Students say that the test is too difficult
Their approach needs to be more analytical
If you think that you don’t need the quotient rule
You’re right, raise the denominator it’ll still look cool
Integrate by parts, uv minus integral vdu
Then tell me how many zeroes can f(x) pass through
Got beef with total area, so I take it slow
Absolute value, is all I have to do, so
Rotate about the x-axis
if f’ = 0 it could be where the max is
I don’t know what you take me as
Or understand the intelligence that AP has
If you didn’t add “Plus C” then you aint done
I got 99 problems and can solve each one
Hit me
[Chorus]
99 problems I can solve each one
If you having calc problems I feel bad for you son
I got 99 problems and can solve each one
Hit me
[Verse Two]
Well the year is ‘14, my textbook’s AB
Gotta make sure the left and right hand limits agree
Power rule, x to the n minus one degree
Then multiply by n for coefficient harmony
Now I aint trying to study related rates
But when the balloon’s radius is 3 how much does it deflate?
Then I, took a break, led my mind astray
I heard “son, do you know the AP is in May?”
Yes I do, I’m prepared, free response and MC
Do I look like I’ll get a 5? Definitely.
My calculator’s on, TI-83
Graph the function to make sure the answers agree.
Average rates of change are secants to the curve
Don’t confuse them with tangents it gets on my nerves
Separate the variables and then solve for C
“Sounds right, but double check the answer to 3”
Well the initial condition is this and the differential is that
And I know my calc, I’m gonna need to integrate that
“arent you sharp as a tack, are you taking AB or something?”
“Or some kind of math or something?”
Nah I ain’t passed BC but I know a little math
Enough that this problem will feel my wrath
“Well we’ll see how smart you are when the AP comes”
I got 99 problems and can solve each one
Ethan?
(Knock, knock, knock, knock, knock, knock)
Do you want to build a function?
C’mon let’s solve for V(t)
If A(t) is 13x
When t is 6
Then what is V of 3?
We used to set up bounds
And when we didn’t
We always added C.
Do you want to build a function?
It doesn’t have to be a function
Ethan:
Go away Laura
Laura:
Okay bye…
(Knocking)
Do you want to build a function?
Or draw a slope field in the snow?
When I have volume I must integrate
Or differentiate
To find the rate of flow
(It’s -1/4pi)
I sometimes feel regret
Because I forgot
That x’ is V of t
Laura:
(Knocking)
Ethan?
Please I know you’ve solved it,
People are saying that you can’t.
I’ve seen you use the MVT
To prove f prime of c
Equals slope of the secant.
We only have calculus
Chain and trap rule too.
So many problems to do.
99 Problems
If you’re having calc problems I feel bad for you son
I got 99 problems and can solve each one
[Verse One]
I can take the, integral on that interval
Tell you which points will be critical
Students say that the test is too difficult
Their approach needs to be more analytical
If you think that you don’t need the quotient rule
You’re right, raise the denominator it’ll still look cool
Integrate by parts, uv minus integral vdu
Then tell me how many zeroes can f(x) pass through
Got beef with total area, so I take it slow
Absolute value, is all I have to do, so
Rotate about the x-axis
if f’ = 0 it could be where the max is
I don’t know what you take me as
Or understand the intelligence that AP has
If you didn’t add “Plus C” then you aint done
I got 99 problems and can solve each one
Hit me
[Chorus]
99 problems I can solve each one
If you having calc problems I feel bad for you son
I got 99 problems and can solve each one
Hit me
[Verse Two]
Well the year is ‘14, my textbook’s AB
Gotta make sure the left and right hand limits agree
Power rule, x to the n minus one degree
Then multiply by n for coefficient harmony
Now I aint trying to study related rates
But when the balloon’s radius is 3 how much does it deflate?
Then I, took a break, led my mind astray
I heard “son, do you know the AP is in May?”
Yes I do, I’m prepared, free response and MC
Do I look like I’ll get a 5? Definitely.
My calculator’s on, TI-83
Graph the function to make sure the answers agree.
Average rates of change are secants to the curve
Don’t confuse them with tangents it gets on my nerves
Separate the variables and then solve for C
“Sounds right, but double check the answer to 3”
Well the initial condition is this and the differential is that
And I know my calc, I’m gonna need to integrate that
“arent you sharp as a tack, are you taking AB or something?”
“Or some kind of math or something?”
Nah I ain’t passed BC but I know a little math
Enough that this problem will feel my wrath
“Well we’ll see how smart you are when the AP comes”
I got 99 problems and can solve each one