# Shared Flashcard Set

## Details

1-Day Three: Calculus
1-Day Three: Calculus
22
Mathematics
08/25/2016

Term
 How Do You Solve This Problem?:Lim f(x) = ((x^2)-(A^2))/x-AWhen x -> A----------
Definition
 1.) Factor the Difference of Two Perfect Squares(x+A)(x-A)/(x-A)--------------------2.) Eliminate Common Factors in the numerator and denominator, leaving an one in the numerator.1/(x-A)----------------3.) Evaluate The Function1/x-A----------------
Term
 What is the Definition of Rate of Change?:------------------
Definition
 How one variable changes in relation to another variable.---------------
Term
 What is Speed?-------------
Definition
 Distance/Time-----------
Term
 What is Acceleration?----------------
Definition
 Change in Speed / Change in Time----------------
Term
 How To Calculate Average Speed When:In "A" hours you went "B" MilesAndIn "C" hours you went "D" Miles---------------------
Definition
 (B-D)/(A-C)------------
Term
 What is The General For Average Rate of Change?:----------------------------
Definition
 (f(b)-f(a)/b-a)-------------
Term
 What is the General Formula To Find The Slope of a Line?-----------------------
Definition
 (f(b)-f(a)/b-a)-----------------
Term
 For The Given Point What Is The x value?:(A,B)--------------------
Definition
 A-----------------
Term
 For The Given Point What Is The y value?:(A,B)--------------------
Definition
 B------------
Term
 Find The Rate of Change For This Problem:f(x)=(x^2)+Axbetween x=B and x=C----------------
Definition
 1.) Solve f(B) -----------------2.) Solve f(C)------------------3.) Solve (B-C)------------------4.) Solve f(B)-f(C)/(B-C)----------------
Term
 Find The Rate of Change For This Problem:f(x)=(sqrt Ax-B)between x=C and x=D----------------
Definition
 1.) Solve f(C) -----------------2.) Solve f(D)------------------3.) Solve (C-D)------------------4.) Solve f(C)-f(D)/(C-D)----------------
Term
 When Rate of Change is Positive, what does it mean?---------------
Definition
 It means that the slope is positive, meaning that the rate of change is increasing.---------------
Term
 When Rate of Change is Negative, what does it mean?---------------
Definition
 It means that the slope is negative, meaning that the rate of change is decreasing.---------------
Term
 Find The Rate of Change For This Problem:f(x)=A/x-Abetween x=B and x=C----------------
Definition
 1.) Solve f(B) -----------------2.) Solve f(C)------------------3.) Solve (B-C)------------------4.) Solve f(B)-f(C)/(B-C)----------------
Term
 How Do You Solve This Problem:(A/B)/(C/D)--------------
Definition
 Solve(A/B)*(D/C)-----------
Term
 How Do You Solve This Problem:(A/B) + (C/D)
Definition
 The Denominators Need To Equal-----------------------Find a Common Multiple of B and D-----------------------Multiply "B" by a number that makes it equal to the common multiple, and multiply "A" by the same number--------------------Multiply "D" by a number that makes it equal to the common multiple, and multiply "C" by the same number-----------------------Now both denominators are equal, so now you add the numerators together, while keeping the denominators the same.------------------
Term
 What is the General Formula for Instantaneous Rate of Change?----------------------------
Definition
 Lim = (f(a+h)-f(a)/h)when x-> 0provided that a limit exist-------------
Term
 How Do You Solve This Problem:(A/B) - (C/D)-----------------
Definition
 The Denominators Need To Equal-----------------------Find a Common Multiple of B and D-----------------------Multiply "B" by a number that makes it equal to the common multiple, and multiply "A" by the same number--------------------Multiply "D" by a number that makes it equal to the common multiple, and multiply "C" by the same number-----------------------Now both denominators are equal, so now you can subtract the numerators from each other, while keeping the denominators the same.------------------
Term
 How Do You Find The Instantaneous Rate of Change of The Given Function?:f(x)=(x^2)+xWhen a = B--------------
Definition
 1.) Solve (Keep "h" a variable)f(a+h) = f(B+h)-----------------------2.) Solvef(a) = f(B)------------------3.) Solve Lim = (f(a+h)-f(a)/h)when x-> 0provided that a limit exist-------------
Term
 What is the Solution To This Problem?((A+x)^2)----------
Definition
 A^2+(A*2)x+(x^2)---------------
Term
 What is the Easiest Way To Find The Solution or Instantaneous Rate of Change of The Given Function?:f(x)=(x^2)+xWhen a = B--------------
Definition
 (B*2)+1-------------
Term
 What is the Easiest Way To Find The Solution or Instantaneous Rate of Change of The Given Function?:f(x)=(x^2)+Bx+BWhen a = C--------------
Definition
 (B*C)+B---------
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