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Duplicate of AP Calc AB Review Flashcards | StudBud
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Duplicate of AP Calc AB Review
Duplicate of AP Calc AB Review
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#abcalculus #abcalculus #alanna #minnetonka
Flashcards
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Questions
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Answers
1
Speed is expressed as
Absolute Value of v(t)
The opposite of v(t)
v(t)
When a(t) and v(t) have the same sign
2
Which of the following theorems establishes the EXISTENCE of values?
Average Value
Fundamental Theorem
Mean Value
Intermediate Value
3
Linearization will be an UNDERESTIMATE when f(x) is
Positve
Concave Down
Increasing
Concave up
4
When given v(t) and asked to find the derivative, you're looking for
Position s(t)
The slope of the tangent line of s(t)
v(t) at a certain point
Acceleration a(t)
5
Increasing/Decreasing of an f(x) is determined by
Limits of f(x) values
First Derivative Test
Second Derivative Test
Mins and Maxs
6
Total distance
and
displacement
of a function are EQUIVALENT when -
v(x) is concave up
v(x) is above the x axis
They're never equal
They are always equal
7
What is the
FIRST
and crucial step to solving a differential equation?
Find the anti-derivative
Separate the variables
Use the initial condition
Add a C
8
The integral is an accumulation function.
True
False
9
This limit exists
True
False
10
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Positive, Negative
Decreasing, Increasing
Negative, Positive
Increasing, Decreasing
11
How do you know a particle is speeding up or slowing down?
Velocity and acceleration's signs
Acceleration's sign
Critically thinking with the information is the problem
Velocity's sign
12
Find this derivative.
35x^4 - (1/2)x^(-1/2)
7 + C
7x^4 - x^(-1/2)
0
13
Find the derivative of the function below.
18x^3 - 9x
18x^2 - 9 + C
18x^2 - 9
6x^2 - 9
14
Find this anti-derivative.
1/3x^3 - 5/2x^2 + 6x
1/2x^2 - 5x + C
2x - 5 + C
1/3x^3 - 5/2x^2 + 6x + C
15
What is the slope of the secant line known as?
Derivative
The tangent line
Average rate of change
Instantaneous rate of change
16
Proving continuity requires ALL BUT the following
It is differentiable
Proving the value exists on the function
Limit and Value are equivalent
Proving the limit exists
17
Right Reimann sum is an overestimate when f(x) is
Concave Up
Concave Down
Increasing
Decreasing
18
The fundamental theorem of calculus (FTC) deals with integrals and anti-derivatives.
False
True
19
The slope of the tangent lines along a curve is also known as?
The limit
Concavity
The derivative
Average rate of change