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