DPT Diagnostic Prerequisite Test 1 Linear Equations And Graphs 2 Functions And Graphs 3 Mathematics Of Finance 4 Systems Of Linear Equations; Matrices 5 Linear Inequalities And Linear Programming 6 Linear Programming: The Simplex Method 7 Logic, Sets, And Counting 8 Probability 9 Limits And The Derivatives 10 Additional Derivative Topics 11 Graphing And Optimization 12 Integration 13 Additional Integration Topics 14 Multivariable Calculus 15 Markov Chains A Basic Algebra Review expand_more
9.1 Introduction To Limits 9.2 Infinite Limits And Limits At Infinity 9.3 Continuity 9.4 The Derivative 9.5 Basic Differentiation Properties 9.6 Differentials 9.7 Marginal Analysis In Business And Economics Chapter Questions expand_more
Problem 1MP: Matched Problem 1 Complete the following table, using the given graph of the function... Problem 2MP: Matched Problem 2 Let f(x) = x + 1. Discuss the behavior of the values of f(x) when x is close to... Problem 3MP Problem 4MP: Matched Problem 4 Given the graph of the function f shown in Figure 6, discuss the following, as we... Problem 5MP: Matched Problem 5 Find .
Problem 6MP Problem 7MP: Matched Problem 7 Let
Find:
f(5)
Problem 8MP Problem 9MP: Matched Problem 9 Is the limit expression a 0/0 indeterminate form? Find the limit or explain why... Problem 10MP Problem 1ED Problem 2ED Problem 1E: Skills Warm-up Exercises
In Problems 1–8, factor each polynomial into the product of first-degree... Problem 2E: Skills Warm-up Exercises
In Problems 1–8, factor each polynomial into the product of first-degree... Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E: In Problems 9–16, use the graph of the function f shown to estimate the indicated limits and... Problem 10E: In Problems 9–16, use the graph of the function f shown to estimate the indicated limits and... Problem 11E Problem 12E Problem 13E: In Problems 9–16, use the graph of the function f shown to estimate the indicated limits and... Problem 14E Problem 15E: In Problems 9–16, use the graph of the function f shown to estimate the indicated limits and... Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E: In Problems 17–24, use the graph of the function g shown to estimate the indicated limits and... Problem 22E: In Problems 17–24, use the graph of the function g shown to estimate the indicated limits and... Problem 23E: In Problems 17–24, use the graph of the function g shown to estimate the indicated limits and... Problem 24E Problem 25E: In Problems 25–28, use the graph of the function f shown to estimate the indicated limits and... Problem 26E: In Problems 25–28, use the graph of the function f shown to estimate the indicated limits and... Problem 27E: In Problems 25–28, use the graph of the function f shown to estimate the indicated limits and... Problem 28E: In Problems 25–28, use the graph of the function f shown to estimate the indicated limits and... Problem 29E: In Problems 29–38, find each limit if it exists.
29.
Problem 30E Problem 31E: In Problems 29–38, find each limit if it exists.
31.
Problem 32E Problem 33E: In Problems 29–38, find each limit if it exists.
33.
Problem 34E: In Problems 29–38, find each limit if it exists.
34.
Problem 35E Problem 36E Problem 37E: In Problems 29–38, find each limit if it exists.
37.
Problem 38E Problem 39E: Given that and , find the indicated limits in Problems 39–46.
39.
Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E: In Problems 51–66, find each indicated quantity if it exists.
51. Let . Find
f(0)
Problem 52E Problem 53E: In Problems 51–66, find each indicated quantity if it exists.
53. Let . Find
f(1)
Problem 54E: In Problems 51–66, find each indicated quantity if it exists.
54. Let . Find
f(−2)
Problem 55E: In Problems 51–66, find each indicated quantity if it exists.
55. Let . Find
Problem 56E Problem 57E Problem 58E: 58. Let . Find
f(3)
Problem 59E Problem 60E Problem 61E: 61. Let . Find
Problem 62E Problem 63E: 63. Let . Find
Problem 64E: 64. Let . Find
Problem 65E: 65. Let . Find
Problem 66E: 66. Let . Find
Problem 67E: In Problems 67–72, discuss the validity of each statement. If the statement is always true, explain... Problem 68E Problem 69E: In Problems 67–72, discuss the validity of each statement. If the statement is always true, explain... Problem 70E: In Problems 67–72, discuss the validity of each statement. If the statement is always true, explain... Problem 71E: In Problems 67–72, discuss the validity of each statement. If the statement is always true, explain... Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E: In Problems 73–80, is the limit expression a 0/0 indeterminate form? Find the limit or explain why... Problem 77E Problem 78E: In Problems 73–80, is the limit expression a 0/0 indeterminate form? Find the limit or explain why... Problem 79E Problem 80E Problem 81E Problem 82E: Compute the following limit for each function in Problems 81–88.
82. f(x) = 5x − 1
Problem 83E: Compute the following limit for each function in Problems 81–88.
83. f(x) = x2 + 1
Problem 84E: Compute the following limit for each function in Problems 81–88.
84. f(x) = x2 − 2
Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E: 91. Car Sharing. A car sharing service offers a membership plan with a $50 per month fee that... Problem 92E: 92. Car Sharing. A car sharing service offers a membership plan with no monthly fee. Members who use... Problem 93E Problem 94E Problem 95E Problem 96E Problem 97E: 97. Pollution A state charges polluters an annual fee of $20 per ton for each ton of pollutant... Problem 98E: 98. Pollution Refer to Problem 97. The average fee per ton of pollution is given by A(x) = F(x)/x.... Problem 99E: 99. Voter turnout. Statisticians often use piecewise-defined functions to predict outcomes of... format_list_bulleted