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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
The opposite of v(t)
When a(t) and v(t) have the same sign
Absolute Value of v(t)
v(t)
2
Right Reimann sum is an overestimate when f(x) is
Increasing
Concave Down
Concave Up
Decreasing
3
Increasing/Decreasing of an f(x) is determined by
Second Derivative Test
First Derivative Test
Limits of f(x) values
Mins and Maxs
4
What is the
FIRST
and crucial step to solving a differential equation?
Use the initial condition
Separate the variables
Find the anti-derivative
Add a C
5
When given v(t) and asked to find the derivative, you're looking for
Acceleration a(t)
Position s(t)
v(t) at a certain point
The slope of the tangent line of s(t)
6
Find the derivative of the function below.
6x^2 - 9
18x^2 - 9 + C
18x^3 - 9x
18x^2 - 9
7
Linearization will be an UNDERESTIMATE when f(x) is
Increasing
Concave Down
Positve
Concave up
8
The integral is an accumulation function.
True
False
9
Find this derivative.
35x^4 - (1/2)x^(-1/2)
0
7 + C
7x^4 - x^(-1/2)
10
What is the same as the derivative of F(x)? F'(x)
f'(x)
f(x)
f''(x)
F(x)
11
Proving continuity requires ALL BUT the following
Proving the limit exists
It is differentiable
Proving the value exists on the function
Limit and Value are equivalent
12
Total distance
and
displacement
of a function are EQUIVALENT when -
f(x) is concave up
They're never equal
They are always equal
f(x) is above the x axis
13
This limit exists
True
False
14
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
15
What is the slope of the secant line known as?
The tangent line
Instantaneous rate of change
Average rate of change
Derivative
16
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Positive, Negative
Negative, Positive
Increasing, Decreasing
Decreasing, Increasing
17
The fundamental theorem of calculus (FTC) deals with integrals and anti-derivatives.
True
False
18
The slope of the tangent lines along a curve is also known as?
Concavity
The derivative
Average rate of change
The limit
19
Find this anti-derivative.
1/2x^2 - 5x + C
1/3x^3 - 5/2x^2 + 6x
2x - 5 + C
1/3x^3 - 5/2x^2 + 6x + C
20
Which of the following theorems establishes the EXISTENCE of values?
Fundamental Theorem
Mean Value
Average Value
Intermediate Value
