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AP Calculus AB Review Part 3 Flashcards | StudBud
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AP Calculus AB Review Part 3
AP Calculus AB Review Part 3
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AP Calculus AB Review #calculus #math #ap #derivatives #integrals
Flashcards
18 cards
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Questions
18
Answers
1
How do you find the area between two functions of x?
π(top + bottom)
∫(top - bottom)dx
∫(bottom - top)dx
top - bottom
2
Find the area enclosed by y = x
2
+ 1 and the line y = 5.
28/3
14/3
32/3
16/3
3
Choose the correct answer: (d/dx)[g(h(x))] =
g'(h(x))
g'(h(x))h'(x)
g'(x)h'(x)
h'(g(x))g'(x)
4
Choose the correct answer: ∫(1/x)
dx
ln∣x∣ + C
x-2 + C
2x-2 + C
ln∣x∣
5
How do you find the position at t = b if you know the position at t = a?
The integral of velocity from a to b.
The integral of the absolute value of velocity from a to b.
The integral of velocity from a to b plus initial position.
s(b) - s(a)
6
Find the tangent line to the graph of y = cos (2x) at x = π/4.
y = 2(x - π/4)
y -1= -2(x - π/4)
y = -2(x - π/4)
y-1 = 2(x - π/4)
7
Choose the correct answer: ∫(1/x
3
)
dx
-3x-4 + C
(-1/2)x-2 + C
ln∣x3∣ + C
-2x-2 + C
8
What is the formula for Volume by Revolution: WASHER Method
π ∫ r2h2 dx
π ∫ R2 - r2 dx
∫ r2 dx
π ∫ r2 dx
9
What is the formula for Volume by Revolution: SHELL Method
2π ∫ r2h2 dx
π ∫ R2 - r2 dx
2π ∫ rh dx
2π ∫ r2 dx
10
Choose the correct answer: ∫cos(2x)
dx
2sin(2x) + C
-(1/2)sin(2x) + C
(1/2)sin(2x) + C
2sin(x) + C
11
When is f(x) increasing? f(x) = (x
2
- 3)*e
-x
x < -1 and x > 3
-1 < x < 3
All values of x
-3 < x < 1
12
Choose the correct answer: ∫sec(x)tan(x)
dx
tan(x) + C
cot2(x) + C
sec2(x) + C
sec(x) + C
13
Choose the correct answer: ∫sec
2
(x)
dx
tan(x) + C
cot2(x) + C
sin(x)cos(x) + C
sin(x) + C
14
Choose the correct answer.
2e(t/2) + C
e(-t/2) + C
e-t + C
e(t/2) + C
15
What method is used to find volume?
Pascal's method
Newton's method
L'Hopital's method
washer or shell method
16
Choose the BEST answer: The speed of a particle is increasing when...
v(t) & a(t) are the same sign
a(t) is positive
v(t) & a(t) are positive
v(t) is positive
17
What is the formula for Volume by Revolution: DISK Method
π ∫ r2 dx
π ∫ R2 - r2 dx
π ∫ r2h2 dx
∫ r2 dx
18
How do you find total distance traveled?
∫ a(t) dt
∫ |v(t)| dt
∫ s(t) dt
∫ v(t) dt