Deck 12: Trigonometric Functions and Calculus
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Unlock Deck
Sign up to unlock the cards in this deck!
Unlock Deck
Unlock Deck
1/25
Play
Full screen (f)
Deck 12: Trigonometric Functions and Calculus
1
Evaluate the integral 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


2
Find the derivative of the function 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


3
Find the indefinite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


4
An airplane flies at an altitude of 5 miles towards a point directly over an observer. Consider
and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find
when
. Round your answer to three decimal places. 
A)-58.824 rad/hr
B)11.765 rad/hr
C)0.147 rad/hr
D)58.824 rad/hr
E)-29.412 rad/hr




A)-58.824 rad/hr
B)11.765 rad/hr
C)0.147 rad/hr
D)58.824 rad/hr
E)-29.412 rad/hr
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
5
Find the integral 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
6
Find the derivative of the function
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
7
Evaluate the expression
without using a calculator.
A)
B)13
C)
D)12
E)5

A)

B)13
C)

D)12
E)5

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
8
Find the indefinite integral of the following function. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
9
Find the indefinite integral of the following function. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
10
Find the limit. 
A)
B)
C)
D)does not exist
E)

A)

B)

C)

D)does not exist
E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
11
Find the integral 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
12
Find the limit. 
A)
B)
C)
D)does not exist
E)

A)

B)

C)

D)does not exist
E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
13
Evaluate the expression
without using a calculator.
A)
B)
C)
D)0
E)

A)

B)

C)

D)0
E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
14
Evaluate the integral 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
15
Find the indefinite integral of the following function. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
16
Find the integral 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
17
Find the limit. 
A)
B)
C)
D)
E)0

A)

B)

C)

D)

E)0
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
18
In a free-fall experiment, an object is dropped from a height of 144 feet. A camera on the ground 500 feet from the point of impact records the fall of the object as shown in the figure. Assuming the object is released at time t = 0. At what time will the object reach the ground level? 
A)2 seconds
B)4 seconds
C)5 seconds
D)6 seconds
E)3 seconds

A)2 seconds
B)4 seconds
C)5 seconds
D)6 seconds
E)3 seconds
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
19
Find the integral 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
20
Evaluate the expression
without using a calculator.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
21
Find the derivative of the function
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
22
Evaluate the integral 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
23
Evaluate
. Round your answer to three decimal places.
A)12.381
B)14.971
C)7.917
D)20.794
E)12.569

A)12.381
B)14.971
C)7.917
D)20.794
E)12.569
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
24
Evaluate the function sinh 2. If the value is not a rational number, give the answer to three-decimal-place accuracy.
A)7.254
B)3.627
C)2.418
D)15.049
E)2.508
A)7.254
B)3.627
C)2.418
D)15.049
E)2.508
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
25
Evaluate the integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck