Deck 8: Integrals and Transcendental Functions

Question 1

Evaluate the integral.

Answer 1

C

Question 2

Evaluate the integral.

Answer 2

D

Question 3

Evaluate the integral.

Answer 3

C

Question 4

Evaluate the integral.

Question 5

Evaluate the integral.

Question 6

Evaluate the integral.

Question 7

Evaluate the integral.

A) -2 ln 2
B) 2 ln 3
C) 4 ln 2
D) 2 ln 2

Question 8

Evaluate the integral.

Question 9

Evaluate the integral.

Question 10

Evaluate the integral.

Question 11

Evaluate the integral.

A) 11
B) -3
C) 3
D) 14

Question 12

Evaluate the integral.

Question 13

Evaluate the integral.

Question 14

Evaluate the integral.

Question 15

Evaluate the integral.

Question 16

Evaluate the integral.

Question 17

Evaluate the integral.

Question 18

Evaluate the integral.

A) -28 ln 3
B) 28 ln 3
C) 14 ln 3
D) -14 ln 3

Question 19

Evaluate the integral.

A) 1 + cos 1
B) -1
C) 1
D) 1 - cos 1

Question 20

Evaluate the integral.

Question 21

Solve the problem.

Question 22

Evaluate the integral.

Question 23

Evaluate the integral.

Question 24

Evaluate the integral.

Question 25

Evaluate the integral.

Question 26

Evaluate the integral.

Question 27

Solve the initial value problem.

Question 28

Evaluate the integral.

Question 29

Evaluate the integral.

Question 30

Evaluate the integral.

Question 31

Solve the initial value problem.

Question 32

Evaluate the integral.

Question 33

Solve the initial value problem.

Question 34

Solve the initial value problem.

Question 35

Solve the initial value problem.

Question 36

Evaluate the integral.

Question 37

Solve the initial value problem.

Question 38

Evaluate the integral.

Question 39

Solve the initial value problem.

Question 40

Solve the initial value problem.

Question 41

Solve the differential equation.

Question 42

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 43

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) No
B) Yes

Question 44

Solve the problem.

Question 45

Solve the problem.

Question 46

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 47

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 48

Solve the problem.

Question 49

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 50

Solve the differential equation.

Question 51

Solve the problem.

Question 52

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 53

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 54

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 55

Solve the differential equation.

Question 56

Solve the differential equation.

Question 57

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 58

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 59

Determine if the given function y = f(x) is a solution of the accompanying differential equation.

A) Yes
B) No

Question 60

Solve the differential equation.

Question 61

Question 62

Solve the problem.

A) 800 years
B) 1400 years
C) 2308 years
D) 1600 years

Question 63

Solve the differential equation.

Question 64

Question 65

Solve the problem.
Suppose that the amount of oil pumped from a well decreases at the continuous rate of 12% per year. When, to the nearest year, will the well's output fall to one-eighth of its present value?

A) 17 years
B) 12 years
C) 26 years
D) 2 years

Question 66

Solve the problem.

A) 0.00003
B) -0.00003
C) -0.01005
D) 0.00673

Question 67

Solve the problem.

A) 550 years
B) 583 years
C) 1100 years
D) 244 years

Question 68

Solve the differential equation.

Question 69

Solve the differential equation.

Question 70

Solve the problem.

A) 22 ft
B) 49 ft
C) 16 ft
D) 33 ft

Question 71

Question 72

Question 73

Solve the differential equation.

Question 74

Solve the problem.

A) 18 min
B) 7 min
C) 6 min
D) 26 min

Question 75

Solve the problem.

A) 4.7 g
B) 2.4 g
C) 0.1 g
D) 7.1 g

Question 76

Solve the differential equation.

Question 77

Solve the problem.

A) 4.99 in.
B) 9.97 in.
C) 89.75 in.
D) 0.09 in.

Question 78

Question 79

Solve the problem.
The charcoal from a tree killed in a volcanic eruption contained 68.2% of the carbon-14 found in living matter. How old is the tree, to the nearest year? Use 5700 years for the half-life of carbon-14.

A) 5700 years
B) 2182 years
C) 1512 years
D) 3147 years

Question 80

Solve the problem.

A) 2.8 hr
B) 0.3 hr
C) 2.1 hr
D) 1.4 hr