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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
Increasing/Decreasing of an f(x) is determined by
Limits of f(x) values
First Derivative Test
Second Derivative Test
Mins and Maxs
2
What is the slope of the secant line known as?
The tangent line
Derivative
Instantaneous rate of change
Average rate of change
3
Find the derivative of the function below.
6x^2 - 9
18x^3 - 9x
18x^2 - 9
18x^2 - 9 + C
4
Which of the following theorems establishes the EXISTENCE of values?
Mean Value
Intermediate Value
Average Value
Fundamental Theorem
5
Find the acceleration function if the velocity function is y=sin3x
Cos3x
-3cos3x + c
-1/3cos3x +C
3cos3x
6
Linearization will be an UNDERESTIMATE when f(x) is
Concave up
Positve
Concave Down
Increasing
7
Total distance
and
displacement
of a function are EQUIVALENT when -
They are always equal
f(x) is above the x axis
They're never equal
f(x) is concave up
8
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Decreasing, Increasing
Negative, Positive
Increasing, Decreasing
Positive, Negative
9
Right Reimann sum is an overestimate when f(x) is
Decreasing
Increasing
Concave Up
Concave Down
10
Proving continuity requires ALL BUT the following
Limit and Value are equivalent
It is differentiable
Proving the limit exists
Proving the value exists on the function
11
If F(x) is the integration of f(x), what is F‘(x)?
f(x)
f’(x)
F(x)
F(x) + C
12
Find this derivative.
7 + C
0
7x^4 - x^(-1/2)
35x^4 - (1/2)x^(-1/2)
13
This limit exists
False
True
14
What is the
FIRST
and crucial step to solving a differential equation?
Separate the variables
Find the anti-derivative
Use the initial condition
Add a C
15
How many decimal places should be used if a number is not an integer?
Three if needed
Two is fine
it doesn’t matter on test day
Use sig figs
16
The integral is an accumulation function.
True
False
17
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)
18
To find area between curves...
Take left minus right and integrate
Take bottom minus top and integrate
Take top minus bottom and integrate
Take pi times radius squared and integrate
19
Find this anti-derivative.
1/2x^2 - 5x + C
1/3x^3 - 5/2x^2 + 6x + C
2x - 5 + C
1/3x^3 - 5/2x^2 + 6x
20
The fundamental theorem of calculus (FTC) deals with integrals and anti-derivatives.
False
True
21
The slope of the tangent lines along a curve is also known as?
Average rate of change
The derivative
Concavity
The limit
22
Find the instantan rate of change for y=e
2x
at x=1
4e2
2e2
2e
e2
23
What is the same as the derivative of F(x)? F'(x)
f'(x)
f''(x)
F(x)
f(x)
24
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
25
How do you know a particle is speeding up or slowing down?
Velocity's sign
Velocity and acceleration's signs
Critically thinking with the information is the problem
Acceleration's sign
