Deck 7: Integrals and Transcendental Functions

Question 1

Evaluate the integral.

Answer 1

A

Question 2

Evaluate the integral.

Answer 2

D

Question 3

Evaluate the integral.

Answer 3

B

Question 4

Evaluate the integral.

Question 5

Evaluate the integral.

Question 6

Evaluate the integral.

Question 7

Evaluate the integral.

Question 8

Evaluate the integral.

Question 9

Evaluate the integral.

Question 10

Evaluate the integral.

Question 11

Evaluate the integral.

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.

Question 19

Evaluate the integral.

Question 20

Evaluate the integral.

Question 21

Solve the problem.

Question 22

Evaluate the integral.

Question 23

Evaluate the integral.

Question 24

Solve the initial value problem.

Question 25

Evaluate the integral.

Question 26

Evaluate the integral.

Question 27

Evaluate the integral.

Question 28

Solve the initial value problem.

Question 29

Evaluate the integral.

Question 30

Solve the initial value problem.

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

Evaluate the integral.

Question 36

Solve the initial value problem.

Question 37

Solve the initial value problem.

Question 38

Evaluate the integral.

Question 39

Evaluate the integral.

Question 40

Evaluate the integral.

Question 41

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

A) Yes
B) No

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

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

A) Yes
B) No

Question 46

Solve the problem.

Question 47

Solve the differential equation.

Question 48

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

A) Yes
B) No

Question 49

Solve the differential equation.

Question 50

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

A) No
B) Yes

Question 51

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

A) Yes
B) No

Question 52

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

A) Yes
B) No

Question 53

Solve the differential equation.

Question 54

Solve the problem.

Question 55

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

A) No
B) Yes

Question 56

Solve the differential equation.

Question 57

Solve the differential equation.

Question 58

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

A) No
B) Yes

Question 59

Solve the problem.

Question 60

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

A) No
B) Yes

Question 61

Suppose that the amount of oil pumped from a well decreases at the continuous rate of 9% per year. When, to the nearest year, will the well's output fall to one-eighth of its present value?

A) 23 years
B) 35 years
C) 2 years
D) 15 years

Question 62

A) 46 ft
B) 31 ft
C) 23 ft
D) 69 ft

Question 63

Solve the differential equation.

Question 64

A value of sinh x or cosh x is given. Use the definitions and the identity cosh2 x - sinh2 x = 1 to find the value of the
other indicated hyperbolic function.

Question 65

A value of sinh x or cosh x is given. Use the definitions and the identity cosh2 x - sinh2 x = 1 to find the value of the
other indicated hyperbolic function.

Question 66

A) 0.4 hr
B) 2.3 hr
C) 1.7 hr
D) 1.2 hr

Question 67

Solve the differential equation.

Question 68

A value of sinh x or cosh x is given. Use the definitions and the identity cosh2 x - sinh2 x = 1 to find the value of the
other indicated hyperbolic function.

Question 69

A value of sinh x or cosh x is given. Use the definitions and the identity cosh2 x - sinh2 x = 1 to find the value of the
other indicated hyperbolic function.

Question 70

A) 15.5 g
B) 23.3 g
C) 0.2 g
D) 7.8 g

Question 71

A loaf of bread is removed from an oven at 350° F and cooled in a room whose temperature is 70° F. If the bread cools to 210° F in 20 minutes, how much longer will it take the bread to cool to 190° F.

A) 4 min
B) 5 min
C) 17 min
D) 24 min

Question 72

A) 7.57 in.
B) 0.82 in.
C) 59.17 in.
D) 15.13 in.

Question 73

Solve the problem.
A certain radioactive isotope decays at a rate of 2% per 300 years. If t represents time in years and y represents the amount of the isotope left, use the condition that y = 0.98y0 to find the value of k in the equation y = y0ekt.

A) 0.00888
B) -0.00007
C) -0.02020
D) 0.00007

Question 74

The charcoal from a tree killed in a volcanic eruption contained 64.9% 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) 3555 years
B) 2464 years
C) 5700 years
D) 1708 years

Question 75

A value of sinh x or cosh x is given. Use the definitions and the identity cosh2 x - sinh2 x = 1 to find the value of the
other indicated hyperbolic function.

Question 76

Solve the differential equation.

Question 77

Solve the differential equation.

Question 78

Solve the problem.
A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents time in years and y represents the amount of the isotope left then the equation for the situation is y = y0e-0.0002t. In how many years will
There be 89% of the isotope left?

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

Question 79

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

Question 80

Solve the differential equation.