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