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