stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Average/Instantaneous Rate of Change and Average Value (Calculus AB) Flashcards | StudBud
Explore
/
Average/Instantaneous Rate of Change and Average Value (Calculus AB)
Average/Instantaneous Rate of Change and Average Value (Calculus AB)
20 terms
·
StudBud Administration
·
5 plays
You should use a graphing calculator, but it will not be necessary for all problems.
Flashcards
20 cards
F
Practice quiz
P
Host live
L
Questions
20
Answers
1
Get your calculators ready...
Faster
Slower
2
Instantaneous rate of change is always equal to the average rate of change if and only if __________.
The function is linear
The function is trigonometric
The function is not differentiable
The function is quadratic
3
Find the average rate of change to the nearest 3 decimal places of f(x)=3x
4
+2x
3
+2x+1 on [-0.469, 0].
2.082
2.132
Undefined
0.238
4
Find the instantaneous rate of change of f(x)=x
3
+5x
2
-x+15 when x=12.
551
867
0
f(x) is not differentiable
5
The velocity of a car is determined by the function v(t)=t
2
-8t+4. Find the average value of v(t) on [9,17].
26
18
74.333
10
6
Instantaneous rate of change requires you to find the __________ of a function.
Integral
Product
Degree
Derivative
7
Find the average value of f(x)=12x
4
-12x
2
+14 on [-1, 4].
576
-24
454
2976
8
The answer to the previous question was the
Average rate of change
Instantaneous rate of change
Average value
9
Is the instantaneous rate of change of f(x)=x
3
+5x
2
-x+15 at 12 greater or less than the average rate of change on [8,16]?
Less
Greater
10
Instantaneous rate of change is a(n) __________ concept.
Calculus
Trigonometry
Algebra
Geometry
11
Find the average value of g(x)=ln(x
2
-4x) on [5,9].
1.200
0.311
2.944
0.549
12
Find the instantaneous rate of change of g(x)=tan(6x) when x=9.
Undefined
8.724
2.210
128.923
13
Which of the following is the formula for the average value of a function f(x) on [a,b]?
\frac{1}{b-a}\int_a^bf\left(x\right)dx
There is no formula
\frac{f\left(b\right)-f\left(a\right)}{b-a}
\frac{d}{dx}f\left(x\right)
14
The average value of f '(x) on [a,b] is equal to
The instantaneous rate of change of f(x) on [a,b]
4
The derivative
The average rate of change of f(x) on [a,b]
15
Average rate of change and average value BOTH require
Integrals
Bounds/perameters
Derivatives
Synthetic division
16
Average rate of change is a(n) __________ concept.
Calculus
Algebra
Geometry
Trigonometry
17
Average rate of change is also known as
Calculus
Fraction
Tangent
Slope
18
A car’s position is defined by the function s(x)= x
3
-4x+32. Find how fast the car is going when x=5.
266.250
71
-∞
3x2-4
19
Get your calculators ready...
115
75
155
346.333
20
Calculation of average value requires the use of __________ calculus.
Complicated
Integral
Basic
Differential
