stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
AP Calculus AB Final Review Flashcards | StudBud
Explore
/
AP Calculus AB Final Review
AP Calculus AB Final Review
15 terms
·
StudBud Administration
Imported from external platform
Flashcards
15 cards
F
Practice quiz
P
Host live
L
Questions
15
Answers
1
A particle moves in a straight line with velocity v\left(t\right)=t^2. How far does the particle move from t=1 and t=2?
1/3
3
7/3
7
2
What is \lim_{h\to0}\frac{8\left(\frac{1}{2}+h\right)^8-8\left(\frac{1}{2}\right)^8}{h}?
The limit does not exist
0
1/2
1
3
If y=10^{\left(x^2-1\right)}, then \frac{dy}{dx}
\left(2x\right)10^{\left(x^2+1\right)}
\left(x^2-1\right)10^{\left(x^2-2\right)}
2x\left(\ln10\right)10^{\left(x^2-1\right)}
\ln\left(10\right)10^{\left(x^2-1\right)}
4
If 3x^2+2xy+y^2=2, then the value of \frac{dy}{dx} at x=1 is
-2
Not defined
2
0
5
\lim_{n\to∞}\frac{4n^2}{n^2+10,000n} is
0
1
4
Nonexistent
6
\int_0^8\frac{1}{\sqrt{1+x}}dx=
4
3/2
2
1
7
If the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, then k is
1/4
-1/8
1/2
0
8
The Intermediate Value Theorem only applies if a function is discontinuous.
False
True
9
\int_1^2x^{-3}dx=
3/8
-7/8
15/16
-3/4
10
If y=\cos^2\left(3x\right), then \frac{dy}{dx}=?
2 cos(3x)
-2 cos(3x)
2 sin(3x) cos(3x)
-6 sin(3x) cos(3x)
11
Which of the following represents the area of the shaded in the figure below?
\left(b-a\right)\left[f\left(b\right)-f\left(a\right)\right]
\int_c^df\left(y\right)dy
f'\left(b\right)-f'\left(a\right)
\int_a^b\left(d-f\left(x\right)\right)dx
12
The Fundamental Theorem of Calculus connects the concepts of derivatives and integrals together
True
False
13
If a function is continuous at x=c, then the limit of f(x) as x approaches c is equal to f(c).
False
True
14
Position is the second derivative of acceleration.
True
False
15
A definition for the definite integral is the area under the curve of a function.
False
True
