Term
How Do You Solve This Problem?:
Lim ((x^2-A^2)/x-A)
When x-> A
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Definition
1.) Factor Two Perfect Squares
((x+A)(x-A))/x-A
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2.)Eliminate the Common Factors
(x+A)
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3.) Evaluate the Function
(A+A)
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4.) Solution
(A+A)
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Term
What Is The Solution To This Problem?:
Lim ((x^2-A^2)/x-A)
When x-> A
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Definition
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Term
What is The Solution To This Problem?:
(Ax+B)/(C+Dx-(x^2))
When x-> Infinity
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Definition
0 because A/infinity = 0
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Term
How Do You Solve This Problem?:
(Ax+B)/(C+Dx-(x^2))
When x-> Infinity
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Definition
1.) Divide The Numerator and Denominator By "x"
a.) ((Ax+B)/x)/((C+Dx-(x^2))/x)
b.) (A+B/x)/((C/x)+D-x))
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2.) Replace "x" for infinity
(A+B/Infinity)/((C/Infinity)+D-Infinity))
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3.) Anything divided by Infinity Equals Zero
(A+0)/(0+D-Infinity)
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4.) Anything Minus Infinity Equals Infinity
A/Infinity
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5.) Anything divided by Infinity Equals Zero
0
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6.) Your solution is:
0
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Term
If an object moves along a straight line with position "s(t)" at time "t", then..
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Definition
The Instantaneous velocity of the object at "t" = "a", is
Lim s(a+h)-s(a)/h
when h -> 0
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Term
Anything Divided By Infinity Equals What?
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Definition
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Term
Anything Plus or Minus Infinity Equals What?
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Definition
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Term
What is the solution to this problem?
Ax/x
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Definition
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Term
How Do You Solve This Problem?:
(Ax+B)/(C+Dx-(x^2))
When x-> Infinity
------------------ |
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Definition
1.) Divide The Numerator and Denominator By "x"
a.) ((Ax+B)/x)/((C+Dx-(x^2))/x)
b.) (A+B/x)/((C/x)+D-x))
---------------------
2.) Replace "x" for infinity
(A+B/Infinity)/((C/Infinity)+D-Infinity))
-------------------
3.) Anything divided by Infinity Equals Zero
(A+0)/(0+D-Infinity)
----------------------
4.) Anything Minus Infinity Equals Infinity
A/Infinity
----------------------
5.) Anything divided by Infinity Equals Zero
0
---------------
6.) Your solution is:
0
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Term
If an object moves along a straight line with position "s(t)" at time "t", then..
------------------- |
|
Definition
The Instantaneous velocity of the object at "t" = "a", is
Lim s(a+h)-s(a)/h
when h -> 0
--------------- |
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Term
Anything Divided By Infinity Equals What?
------------------ |
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Definition
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Term
Anything Plus or Minus Infinity Equals What?
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Definition
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Term
What is the solution to this problem?
Ax/x
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Definition
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Term
How Do You Solve This Problem?
What is the Average Rate of Change of The Following?
s(t) = (At^2) - Bt + C
From D seconds to E seconds
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Definition
1.) Solve
s(D)
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2.) Solve
s(E)
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3.) Solve
s(D)-s(E)/D-E
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Term
How Do You Solve The Following Problem?
What is the Instantaneous Rate of Change of The Following Problem?
s(t) = (At^2) - Bt + C
At D seconds
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Definition
1.) Solve
s(D+h)
-----------
2.) Solve
s(D)
-----------
3.) Set Up This Problem
s(D+h)-s(D)/h
----------------------------
4.) Eliminate Any Common Terms In The Numerator
----------------------------
5.) Divide The Numerator By The Denominator
-----------------------------
6.) Make "h" Equal to Zero
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7.) Solve
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Term
What Is The Solution To This Problem?
(A+B)^2
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Definition
1.) Step One
(A*A)+(A*B)+(B*A)+(B*B)
---------------------
2.) Solution
(A^2)+2(BA)+(B^2)
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Term
What Is An Average Cost Function Essentially The Same As?
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Definition
Average Rate of Change
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Term
What Is An Marginal Cost Function Essentially The Same As?
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Definition
Instantaneous Rate of Change
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Term
What is A Tangent Line?
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Definition
A line that touches a function at a specific point
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Term
Instantaneous Rate of Change is The Same As The Following......
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Definition
Derivative
---------------
Slope of the tangent line to the curve at point "R" when x=a
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Term
Average Rate of Change Is The Same As The Following............
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Definition
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Term
How Do You Find The Slope Of The Tangent Line of A Function?
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Definition
1.) You Find Instantaneous Rate of Change of The Function which equals the slope
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2.) The value of "x" is already defined
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3.) Use the "x" value of the function to solve for the "y" value
-----------------------
4.) Solve for the formula of the line
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Term
If you know the "x" value of a function how do you find the "y" value?
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Definition
Plug in the value of "x" for "x" in the function and solve for "y"
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Term
If you know one point, and the slope, how do you solve for the formula of the line?
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Definition
y-y1=m(x-x1)
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Term
What is Short Hand For Instantaneous Rate of Change?
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Definition
f^1(x) aka f prime x
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