Deck 11: An Introduction to Calculus: Limits, Derivatives, and Integrals

Question 1

Solve the problem.

Answer 1

B

Question 2

Solve the problem.

Answer 2

B

Question 3

Answer 3

B

Question 4

Find the derivative of the function at the specified point.

Question 5

Question 6

Find the derivative of the function at the specified point.

Question 7

Question 8

Find the derivative of the function at the specified point.

Question 9

Find the derivative of the function at the specified point.

Question 10

Question 11

Find the derivative of the function at the specified point.

Question 12

Question 13

Find the derivative of the function at the specified point.

Question 14

Question 15

Solve the problem.

Question 16

Solve the problem.

Question 17

Solve the problem.

Question 18

Question 19

Find the derivative of the function at the specified point.

Question 20

Question 21

Find the derivative of the function using the definition of derivative.

Question 22

Find the derivative of the function using the definition of derivative.

Question 23

Find the derivative of the function using the definition of derivative.

Question 24

Find the equation of the tangent line to the curve when x has the given value.

Question 25

Find the derivative of the function using the definition of derivative.

Question 26

Find the equation of the tangent line to the curve when x has the given value.

Question 27

Write the word or phrase that best completes each statement or answers the question.
Sketch a possible graph for a function f that has the stated properties.

Question 28

Find the equation of the tangent line to the curve when x has the given value.

Question 29

Find the derivative of the function using the definition of derivative.

Question 30

Find the equation of the tangent line to the curve when x has the given value.

Question 31

Find the derivative of the function using the definition of derivative.

Question 32

Find the equation of the tangent line to the curve when x has the given value.

Question 33

Find the derivative of the function using the definition of derivative.

Question 34

Find the equation of the tangent line to the curve when x has the given value.

Question 35

Find the derivative of the function using the definition of derivative.

Question 36

Use a graph of the function to find the derivative of the function at the given point, if it exists.

Question 37

Find the equation of the tangent line to the curve when x has the given value.

Question 38

Use a graph of the function to find the derivative of the function at the given point, if it exists.

Question 39

Write the word or phrase that best completes each statement or answers the question.
Sketch a possible graph for a function f that has the stated properties.

Question 40

Find the derivative of the function using the definition of derivative.

Question 41

Find the definite integral by computing an area.

Question 42

Find the definite integral by computing an area.

Question 43

Write the word or phrase that best completes each statement or answers the question.
Sketch a possible graph for a function f that has the stated properties.

Question 44

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

A) 16.5
B) 14.0
C) 12.0
D) 18.5

Question 45

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

A) 15.5
B) 12.5
C) 16.5
D) 10.0

Question 46

Write the word or phrase that best completes each statement or answers the question.
Sketch a possible graph for a function f that has the stated properties.

Question 47

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

A) 15.5
B) 18.75
C) 17.5
D) 14.5

Question 48

Compute the average of the RRAM and LRAM approximations to estimate the area between the graph of the function
and the x-axis over the given interval using the indicated number of subintervals. (The function is non-negative on the
given interval).

Question 49

Find the definite integral by computing an area.

Question 50

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

A) 20.7
B) 17.3
C) 15.7
D) 12.3

Question 51

Compute the average of the RRAM and LRAM approximations to estimate the area between the graph of the function
and the x-axis over the given interval using the indicated number of subintervals. (The function is non-negative on the
given interval).

Question 52

Find the definite integral by computing an area.

Question 53

Compute the average of the RRAM and LRAM approximations to estimate the area between the graph of the function
and the x-axis over the given interval using the indicated number of subintervals. (The function is non-negative on the
given interval).

Question 54

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

A) 14.5
B) 15.9
C) 9.6
D) 11.0

Question 55

Compute the average of the RRAM and LRAM approximations to estimate the area between the graph of the function
and the x-axis over the given interval using the indicated number of subintervals. (The function is non-negative on the
given interval).

Question 56

Find the definite integral by computing an area.

Question 57

Write the word or phrase that best completes each statement or answers the question.
Sketch a possible graph for a function f that has the stated properties.

Question 58

Compute the average of the RRAM and LRAM approximations to estimate the area between the graph of the function
and the x-axis over the given interval using the indicated number of subintervals. (The function is non-negative on the
given interval).

Question 59

Find the definite integral by computing an area.

Question 60

Write the word or phrase that best completes each statement or answers the question.
Sketch a possible graph for a function f that has the stated properties.

Question 61

Find the limit of the function by using direct substitution.

Question 62

Solve the problem.

Question 63

It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the
definite integral.

Question 64

It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the
definite integral.

Question 65

Find the limit of the function by using direct substitution.

Question 66

Find the definite integral by computing an area.

Question 67

Find the definite integral by computing an area.

Question 68

Solve the problem.
A ball is tossed straight up from level ground. The velocity of the ball at any time t (sec) is v(t) = 68 - 32t ft/sec. Find how far the ball has traveled at its maximum height.

A) 9 ft
B) 72 ft
C) 63 ft
D) 96 ft

Question 69

Find the definite integral by computing an area.

Question 70

It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the
definite integral.

Question 71

It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the
definite integral.

Question 72

It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the
definite integral.

Question 73

It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the
definite integral.

Question 74

Solve the problem.

Question 75

Find the limit of the function by using direct substitution.

Question 76

Find the limit of the function by using direct substitution.

Question 77

Find the limit of the function by using direct substitution.

Question 78

Solve the problem.

Question 79

Solve the problem.

Question 80

Find the definite integral by computing an area.