Show:
Limits
Derivatives
Integration
Volume
Area
100
What do you do when a limit approaches infinite?
BOBO, BOTN, or Top divided by bottom
100
What is the derivative of F(x) = cos(x)
f'(x)= -sin(x)
100
Intergral of f(x)= sin(x)
-cos(x)
100
What is the volume of a sphere
(4/3)πr^3
100
How do you find the area of a rectangle?
(Length)(Width)
200
What are the ways to a limit does not exist?
Vertical Asymptote, Break, Isolation , Sharp turn
200
What is the chain rule?
Derive the outside and then the inside of the equation
200
What is wrong with ∫e^x
Its missing dx
200
what is an opinion without 3.14
an onion
200
If the curve does under the x-axis is it positive or negative?
Negative
300
What is the limit of F(x)= cos(1/x) as x approaches 0
Does not exist hahahaha
300
What is the derivative of f(x)= sec(x)^2
f'(x)= 2sec(x)tan(x)
300
What comes after every Integration?
+C
300
What is the washer method?
V= pi {a,b}∫([(R(x)]^2-[r(x)]^2)dx
300
What are ways to find the area given no graph or equations?
Riemann sum and trapezoidal method.
400
What is the limit of F(x)= 2 as it approaches 0
2
400
What is the Quotient Rule?
((a')(b)-(a)(b'))/(b)^2
400
What is ∫e^x dx
e^x
400
What is the disk method
V= pi {a,b}∫([(R(x)]^2 dx
400
What is the major difference between the trapezoidal sum and the Riemann sum?
The Trapezoidal sum is more accurate than the Riemann sum.
500
WHAT IS THE INTERMEDIATE VALUE THEOREM
F(x) is continuous on [a,b] and let M be any number f(a) and f(b) then there exists a number such that a
500
What is the product rule?
(a')(b)+(b')(a)
500
What is the "U" method?
You replace an "X" in the integral for a "U" to make it simpler/possible to integrate.
500
Who do you choose between the disk and the washer method?
If there is a space between the revolving axis and the shape you use the washer if not then you use the disk method
500
How do you find the area between two curves?
A={a,b}∫(Top function - bottom function) dx