# Shared Flashcard Set

## Details

1-Day Four: Calculus
1-Day Four: Calculus
25
Mathematics
08/30/2016

Term
 How Do You Solve This Problem?:Lim ((x^2-A^2)/x-A)When x-> A---------------------
Definition
 1.) Factor Two Perfect Squares((x+A)(x-A))/x-A---------------------2.)Eliminate the Common Factors(x+A)--------------------------3.) Evaluate the Function(A+A)----------------------4.) Solution(A+A)----------------------
Term
 What Is The Solution To This Problem?:Lim ((x^2-A^2)/x-A)When x-> A---------------------
Definition
 (A+A)---------------
Term
 What is The Solution To This Problem?:(Ax+B)/(C+Dx-(x^2))When x-> Infinity------------------
Definition
 0 because A/infinity = 0--------------
Term
 How Do You Solve This Problem?:(Ax+B)/(C+Dx-(x^2))When x-> Infinity------------------
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 InfinityA/Infinity----------------------5.) Anything divided by Infinity Equals Zero0---------------6.) Your solution is:0----------------------
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", isLim s(a+h)-s(a)/hwhen h -> 0---------------
Term
 Anything Divided By Infinity Equals What?------------------
Definition
 Zero-----------
Term
 Anything Plus or Minus Infinity Equals What?--------------------------
Definition
 Infinity----------
Term
 What is the solution to this problem?Ax/x----------------
Definition
 A------------
Term
 How Do You Solve This Problem?:(Ax+B)/(C+Dx-(x^2))When x-> Infinity------------------
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 InfinityA/Infinity----------------------5.) Anything divided by Infinity Equals Zero0---------------6.) Your solution is:0----------------------
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", isLim s(a+h)-s(a)/hwhen h -> 0---------------
Term
 Anything Divided By Infinity Equals What?------------------
Definition
 Zero-----------
Term
 Anything Plus or Minus Infinity Equals What?--------------------------
Definition
 Infinity----------
Term
 What is the solution to this problem?Ax/x----------------
Definition
 A------------
Term
 How Do You Solve This Problem?What is the Average Rate of Change of The Following?s(t) = (At^2) - Bt + CFrom D seconds to E seconds---------------
Definition
 1.) Solve s(D)---------------2.) Solves(E)-------------3.) Solves(D)-s(E)/D-E----------------
Term
 How Do You Solve The Following Problem?What is the Instantaneous Rate of Change of The Following Problem?s(t) = (At^2) - Bt + CAt D seconds-----------------
Definition
 1.) Solves(D+h)-----------2.) Solves(D)-----------3.) Set Up This Problems(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--------------------------7.) Solve------------------------------
Term
 What Is The Solution To This Problem?(A+B)^2---------------------------
Definition
 1.) Step One(A*A)+(A*B)+(B*A)+(B*B)---------------------2.) Solution(A^2)+2(BA)+(B^2)-------------------
Term
 What Is An Average Cost Function Essentially The Same As?-------------------
Definition
 Average Rate of Change----------------
Term
 What Is An Marginal Cost Function Essentially The Same As?-------------------
Definition
 Instantaneous Rate of Change-------------
Term
 What is A Tangent Line?--------------
Definition
 A line that touches a function at a specific point--------------
Term
 Instantaneous Rate of Change is The Same As The Following......--------------------
Definition
 Derivative---------------Slope of the tangent line to the curve at point "R" when x=a------------------
Term
 Average Rate of Change Is The Same As The Following............----------------------
Definition
 Slope-------------------
Term
 How Do You Find The Slope Of The Tangent Line of A Function?-----------------------------
Definition
 1.) You Find Instantaneous Rate of Change of The Function which equals the slope----------------2.) The value of "x" is already defined----------------3.) Use the "x" value of the function to solve for the "y" value-----------------------4.) Solve for the formula of the line---------------
Term
 If you know the "x" value of a function how do you find the "y" value?------------------------------
Definition
 Plug in the value of "x" for "x" in the function and solve for "y"----------------
Term
 If you know one point, and the slope, how do you solve for the formula of the line?-------------------------
Definition
 y-y1=m(x-x1)--------------
Term
 What is Short Hand For Instantaneous Rate of Change?-------------------
Definition
 f^1(x) aka f prime x----------------
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