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