Jokes
Why did the vector go to therapy
It had magnitude issues and couldn't find its direction in life.
What is a dependent variable?
Represents Quantities such as volumes, air temperature, and area. (Effect)
Differences between the change of variable and rationalization
Rationalization: Normal square root
Change of variable: Complete opposite
limk = ?
For any constant k
What is the first derivative of a cow?
Prime Rib!
What is an independent variable?
Can represent quantities such as height, elevation, and length. (Cause)
3 methods of evaluating limits
Rationalization, change of variable, factoring
lim x = ? as x-->a
a x x
What did Al Gore play on his guitar?
An Algorithm
What is Average rate of Change?
the average rate at which one quantity is changing with respect to something else changing.
Process of change of variable process
First let’s change the variable to make it easier. Let u= (x +8)^⅓ and then let u^3=x+8. Thus we isolate x so that x= u^3 - 8. Don’t forget we have to also change the value of what the limit is approaching which in this case would be u is approaching 2
lim[cf(x)] =?
c[limf(x)]
Why was the parent function upset with their child?
It was stretched to its limit.
What is Instantaneous Rate of Change
the change in the rate at a particular instant
What does indeterminate form mean
0/0
lim[f(x)g(x)]=?
[limf(x)][limg(x)]
Why do they never serve beer at a math party?
Because you can't drink and derive...
Formula for IROC/Slope of A tangent
f(a+h) - f(a)
----------------
h
How can you determine if a limit is indeterminate
plug in 0 into the equation and if it becomes 0/0 it is indeterminate
lim[f(x)]n=?
[limf(x)]n