What is Antimatter?
This isn't a trick question. Antimatter is exactly what you might think it is the opposite of normal matter, of which the majority of our universe is
made. Until just recently, the presence of antimatter in our universe was
considered
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Assignment List
Description
Chapter 1: Word 2013
Creating, Formatting, and Editing a Word Document with a Picture
Project: Flyer with a Picture
Apply Your Knowledge
Apply 11 County Park Flyer Unformatted
In the Lab
Lab 11 Puppy for Sale Flyer
Section3.1DerivativeofaFunction
The derivative of the function f with respect to the variable x is the function f whose value at x is
provided the limit exists.
If f(x) exists f(x) has a derivative it is differentiable
If it is differentiable at every poi
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Section3.2Differentiability
A function f(x) is said to be differentiable at x = a if f(a) exists.
There are four different instances where a function fails to have a derivative at a point:
1. A discontinuous function whose graph has a break at some point
Section3.3RulesofDifferentiation
ALL THE SHORTCUTS YOU HAVE ALWAYS WANTED!
Rule 1: Derivative of a constant function
If f(x) is the function with the constant value c, then
Example: If f(x) = 5, then f(x) = 0
Rule 2: Power Rule for Positive Integer Power
Section 2.2
Limits Involving Infinity
AP Calculus
Finite Limits as
*These are unbounded & do not truly exist because they do
not approach a #*
Horizontal Asymptote
The line y = b is a horizontal asymptote of the graph of a function y = f(x) if either
or
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Section2.1RatesofChangeandLimitsAPCalculus
AverageandInstantaneousRateofChange
Average Velocity =
The average velocity is also the slope of the secant line. Secant lines approach
tangent lines.
As the time interval shrinks to zero, the average velocity ap
Section 2.4
AP Calculus
Average Rate of Change
*The amount of change divided by the time it takes
= average rate of change
Example: A rock that breaks loose from the top of a cliff has what average speed during the
first 2 seconds?
(position) y = 16t2
=
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Section2.3ContinuityAPCalculus
*Any function whose graph can be sketched in one continuous motion without lifting the
pencil is an example of a continuous function*
A function is said to be continuous at c if the following 3 conditions are met:
1) f(c) is
Section3.5:DerivativesofTrigonometricFunctions
Derivative of the Sine Function
Proof of the derivative of sine:
Derivative of the Cosine Function
Derivative of the Tangent Function
Derivative of the Secant Function
Derivative of the Cotangent Function
Der
AP Calculus
Section 4.1 Extreme Values of Functions
Absolute (Global) Extreme Values
Definition:
Let f(x) be a function with domain D. Then f(c) is the absolute maximum value on D if and only if f(x) f(c) for all x in D or
f(c) is the absolute minimum val
Section3.4VelocityandOtherratesofChange
Instantaneous Rates of Change
*Rate of change can be with respect to any value NOT JUST TIME! *
*When you see rate of change .instantaneous rate of change is implied*
Examples:
1a. Find the rate of change of the are