Precalculus (MindTap Course List)
Precalculus (MindTap Course List)
10th Edition
ISBN: 9781337271073
Author: Ron Larson
Publisher: Cengage Learning
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Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Chapter 1.3, Problem 42E
To determine

To find:

The three additional points, through which the line passes, use the given slope of the line and point on the line m      is      undefined,           (2,14).

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Chapter 1 Solutions

Precalculus (MindTap Course List)

Ch. 1.1 - Plot the points -3,2,4,-2,3,1,0,-2, and -1,-2.Ch. 1.1 - The table shows the numbers N in thousands of...Ch. 1.1 - Find the distance between the points 3,1 and -3,0.Ch. 1.1 - Show that the points 2,-1,5,5, and 6,-3 are...Ch. 1.1 - Find the midpoint of the line segment joining the...Ch. 1.1 - A football quarterback throw a pass from the 10...Ch. 1.1 - Prob. 7CPCh. 1.1 - Prob. 8CPCh. 1.1 - An ordered pair of real numbers can be represented...Ch. 1.1 - The x- and y-axes divide the coordinate plane into...
Ch. 1.1 - The _________ ________ is derived from the...Ch. 1.1 - Finding the average values of the respective...Ch. 1.1 - Plotting Points in the Cartesian Plane In...Ch. 1.1 - Plotting Points in the Cartesian Plane In...Ch. 1.1 - Prob. 7ECh. 1.1 - Finding the Coordinated of a Point In Exercises 7...Ch. 1.1 - Prob. 9ECh. 1.1 - Determining Quadrants for a Point In Exercises...Ch. 1.1 - Prob. 11ECh. 1.1 - Determining Quadrants for a Point In Exercises...Ch. 1.1 - Determining Quadrants for a Point In Exercises...Ch. 1.1 - Determining Quadrants for a Point In Exercises...Ch. 1.1 - Sketching a Scatter Plot In Exercises 15 and 16,...Ch. 1.1 - Prob. 16ECh. 1.1 - Finding a Distance In Exercises 17-22, find the...Ch. 1.1 - Finding a Distance In Exercises 17-22, find the...Ch. 1.1 - Finding a Distance In Exercises 17-22, find the...Ch. 1.1 - Finding a Distance In Exercises 17-22, find the...Ch. 1.1 - Finding a Distance In Exercises 17-22, find the...Ch. 1.1 - Prob. 22ECh. 1.1 - Verifying a Right Triangle In Exercises 23 and 24,...Ch. 1.1 - Verifying a Right Triangle In Exercises 23 and 24,...Ch. 1.1 - Verifying a Polygon In Exercises 25-28, show that...Ch. 1.1 - Verifying a Polygon In Exercises 25-28, show that...Ch. 1.1 - Prob. 27ECh. 1.1 - Verifying a Polygon In Exercises 25-28, show that...Ch. 1.1 - Plotting, Distance, and Midpoint In Exercises...Ch. 1.1 - Prob. 30ECh. 1.1 - Plotting, Distance, and Midpoint In Exercises...Ch. 1.1 - Prob. 32ECh. 1.1 - Plotting, Distance, and Midpoint In Exercises...Ch. 1.1 - Plotting, Distance, and Midpoint In Exercises...Ch. 1.1 - Plotting, Distance, and Midpoint In Exercises...Ch. 1.1 - Prob. 36ECh. 1.1 - Flying Distance An airplane flies from Naples,...Ch. 1.1 - Prob. 38ECh. 1.1 - Sales The Coca-Cola Company had sales of 35,123...Ch. 1.1 - Revenue per Share The revenue per share for...Ch. 1.1 - Translating Points in the Plane In Exercises...Ch. 1.1 - Prob. 42ECh. 1.1 - Translating Points in the Plane In Exercises...Ch. 1.1 - Translating Points in the Plane In Exercises...Ch. 1.1 - Minimum Wage Use the graph below, which shows the...Ch. 1.1 - Exam Scores The table shows the mathematics...Ch. 1.1 - True or False? In Exercise 47-50, determine...Ch. 1.1 - Prob. 48ECh. 1.1 - True or False? In Exercise 47-50, determine...Ch. 1.1 - Prob. 50ECh. 1.1 - Think About It When plotting points on the...Ch. 1.1 - Think About It What is the y-coordinate of any...Ch. 1.1 - Prob. 53ECh. 1.1 - Using the Midpoint Formula Use the result of...Ch. 1.1 - Prob. 55ECh. 1.1 - Prob. 56ECh. 1.1 - Proof Prove that the diagonals of the...Ch. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.1 - Prob. 60ECh. 1.2 - Determine whether a 3,-5 and b -2,26 lie on the...Ch. 1.2 - Prob. 2CPCh. 1.2 - Prob. 3CPCh. 1.2 - Prob. 4CPCh. 1.2 - Prob. 5CPCh. 1.2 - Prob. 6CPCh. 1.2 - Prob. 7CPCh. 1.2 - Prob. 8CPCh. 1.2 - Prob. 9CPCh. 1.2 - Prob. 1ECh. 1.2 - Prob. 2ECh. 1.2 - Prob. 3ECh. 1.2 - Prob. 4ECh. 1.2 - Prob. 5ECh. 1.2 - Prob. 6ECh. 1.2 - Skills and Applications Determining Solution...Ch. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - Prob. 10ECh. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Skills and Applications Determining Solution...Ch. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Skills and Applications Identifying x- and...Ch. 1.2 - Prob. 23ECh. 1.2 - Prob. 24ECh. 1.2 - Prob. 25ECh. 1.2 - Prob. 26ECh. 1.2 - Prob. 27ECh. 1.2 - Prob. 28ECh. 1.2 - Prob. 29ECh. 1.2 - Finding x- and y-intercepts: In Exercises 23-32,...Ch. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Prob. 33ECh. 1.2 - Prob. 34ECh. 1.2 - Prob. 35ECh. 1.2 - Prob. 36ECh. 1.2 - Prob. 37ECh. 1.2 - Prob. 38ECh. 1.2 - Prob. 39ECh. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 - Prob. 53ECh. 1.2 - Prob. 54ECh. 1.2 - Prob. 55ECh. 1.2 - Prob. 56ECh. 1.2 - Prob. 57ECh. 1.2 - Prob. 58ECh. 1.2 - Prob. 59ECh. 1.2 - Skills and Applications Using Technology: In...Ch. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Prob. 64ECh. 1.2 - Prob. 65ECh. 1.2 - Prob. 66ECh. 1.2 - Prob. 67ECh. 1.2 - Prob. 68ECh. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - Prob. 72ECh. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - Prob. 75ECh. 1.2 - Prob. 76ECh. 1.2 - Prob. 77ECh. 1.2 - Prob. 78ECh. 1.2 - Prob. 79ECh. 1.2 - Prob. 80ECh. 1.2 - Skills and Applications Depreciation: A hospital...Ch. 1.2 - Skills and Applications Depreciation: You purchase...Ch. 1.2 - Skills and Applications Geometry: A regulation NFL...Ch. 1.2 - Prob. 84ECh. 1.2 - Skills and Applications Population Statistics The...Ch. 1.2 - Prob. 86ECh. 1.2 - Prob. 87ECh. 1.2 - Exploration True or false? In Exercises 87-89,...Ch. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.2 - Prob. 91ECh. 1.3 - Checkpoint Sketch the graph of each linear...Ch. 1.3 - Prob. 2CPCh. 1.3 - Prob. 3CPCh. 1.3 - Prob. 4CPCh. 1.3 - Prob. 5CPCh. 1.3 - Checkpoint An accounting firm determines that...Ch. 1.3 - Prob. 7CPCh. 1.3 - Checkpoint The sales for Foot Locker were...Ch. 1.3 - Prob. 1ECh. 1.3 - Prob. 2ECh. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - Prob. 5ECh. 1.3 - Prob. 6ECh. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - Prob. 9ECh. 1.3 - Prob. 10ECh. 1.3 - Skills and Applications Sketching Lines In...Ch. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Skills and Applications Estimating the Slope of a...Ch. 1.3 - Skills and Applications Graphing a Linear Equation...Ch. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - Prob. 21ECh. 1.3 - Prob. 22ECh. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Prob. 26ECh. 1.3 - Skills and Applications Finding the Slope of a...Ch. 1.3 - Prob. 28ECh. 1.3 - Prob. 29ECh. 1.3 - Prob. 30ECh. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Skills and Applications Using the Slope and a...Ch. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Prob. 39ECh. 1.3 - Skills and Applications Using the Slope and a...Ch. 1.3 - Prob. 41ECh. 1.3 - Prob. 42ECh. 1.3 - Prob. 43ECh. 1.3 - Prob. 44ECh. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - Skills and Applications Using the point-Slope Form...Ch. 1.3 - Prob. 50ECh. 1.3 - Prob. 51ECh. 1.3 - Prob. 52ECh. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - Prob. 55ECh. 1.3 - Prob. 56ECh. 1.3 - Prob. 57ECh. 1.3 - Prob. 58ECh. 1.3 - Skills and Applications Finding an Equation of a...Ch. 1.3 - Prob. 60ECh. 1.3 - Prob. 61ECh. 1.3 - Prob. 62ECh. 1.3 - Prob. 63ECh. 1.3 - Prob. 64ECh. 1.3 - Prob. 65ECh. 1.3 - Prob. 66ECh. 1.3 - Prob. 67ECh. 1.3 - Prob. 68ECh. 1.3 - Prob. 69ECh. 1.3 - Prob. 70ECh. 1.3 - Prob. 71ECh. 1.3 - Prob. 72ECh. 1.3 - Prob. 73ECh. 1.3 - Skills and Applications Finding Parallel and...Ch. 1.3 - Prob. 75ECh. 1.3 - Skills and Applications Finding Parallel and...Ch. 1.3 - Prob. 77ECh. 1.3 - Prob. 78ECh. 1.3 - Prob. 79ECh. 1.3 - Prob. 80ECh. 1.3 - Prob. 81ECh. 1.3 - Prob. 82ECh. 1.3 - Prob. 83ECh. 1.3 - Prob. 84ECh. 1.3 - Skills and Applications Using Intercept Form In...Ch. 1.3 - Prob. 86ECh. 1.3 - Prob. 87ECh. 1.3 - Skills and Applications Sales The graph shows the...Ch. 1.3 - Skills and Applications Road Grade You are driving...Ch. 1.3 - Skills and Applications Road Grade From the top of...Ch. 1.3 - Skills and Applications Rate of Change In...Ch. 1.3 - Prob. 92ECh. 1.3 - Prob. 93ECh. 1.3 - Prob. 94ECh. 1.3 - Skills and Applications Depreciation A sandwich...Ch. 1.3 - Prob. 96ECh. 1.3 - Prob. 97ECh. 1.3 - Prob. 98ECh. 1.3 - Prob. 99ECh. 1.3 - Prob. 100ECh. 1.3 - Prob. 101ECh. 1.3 - Prob. 102ECh. 1.3 - Exploration Right Triangle Explain how you can use...Ch. 1.3 - Prob. 104ECh. 1.3 - Prob. 105ECh. 1.3 - Prob. 106ECh. 1.3 - Prob. 107ECh. 1.3 - Prob. 108ECh. 1.3 - Prob. 109ECh. 1.3 - Prob. 110ECh. 1.3 - Prob. 111ECh. 1.3 - Prob. 112ECh. 1.3 - Prob. 113ECh. 1.3 - Prob. 114ECh. 1.4 - Checkpoint Determine whether the relation...Ch. 1.4 - Checkpoint Determine whether each equation...Ch. 1.4 - Checkpoint Let f(x)=103x2. 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In Exercises 85-88, determine...Ch. 1.4 - True or False? In Exercises 85-88, determine...Ch. 1.4 - Prob. 87ECh. 1.4 - True or False? In Exercises 85-88, determine...Ch. 1.4 - Error Analysis Describe the error. The functions...Ch. 1.4 - Think About It Consider f(x)=x2 and g(x)=x13. Why...Ch. 1.4 - Think About It Given f(x)=x2, is f the independent...Ch. 1.4 - HOW DO YOU SEE IT? The graph represents the height...Ch. 1.4 - Think About It In Exercises 93 and 94, determine...Ch. 1.4 - Think About It In Exercises 93 and 94, determine...Ch. 1.5 - Use the graph of the function f to find a the...Ch. 1.5 - Use the Vertical Line Test to determine whether...Ch. 1.5 - Prob. 3CPCh. 1.5 - Graph the function f(x)=x3+3x21. Then determine...Ch. 1.5 - Prob. 5CPCh. 1.5 - Find the average rates of change of f(x)=x2+2x a...Ch. 1.5 - In Example 7, find the average speed of the car a...Ch. 1.5 - Determine whether each function is even, odd, or...Ch. 1.5 - Prob. 1ECh. 1.5 - Vocabulary: Fill in the blanks. The ______ of a...Ch. 1.5 - Vocabulary: Fill in the blanks. A function f is...Ch. 1.5 - Vocabulary: Fill in the blanks. A function value...Ch. 1.5 - Vocabulary: Fill in the blanks. The _______...Ch. 1.5 - Vocabulary: Fill in the blanks. A function f is...Ch. 1.5 - Domain, Range, and Values of a Function In...Ch. 1.5 - Domain, Range, and Values of a Function In...Ch. 1.5 - Domain, Range, and Values of a Function In...Ch. 1.5 - Domain, Range, and Values of a Function In...Ch. 1.5 - Vertical Line Test for Functions In Exercises 11 ...Ch. 1.5 - Vertical Line Test for Functions In Exercises 11 ...Ch. 1.5 - Vertical Line Test for Functions In Exercises 11 ...Ch. 1.5 - Vertical Line Test for Functions In Exercises 11 ...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Finding the Zeros of a Function In Exercises...Ch. 1.5 - Graphing and Finding Zeros In Exercises 27-32, a...Ch. 1.5 - Graphing and Finding Zeros In Exercises 27-32, a...Ch. 1.5 - Graphing and Finding Zeros In Exercises 27-32, a...Ch. 1.5 - Graphing and Finding Zeros In Exercises 27-32, a...Ch. 1.5 - Graphing and Finding Zeros In Exercises 27-32, a...Ch. 1.5 - Graphing and Finding Zeros In Exercises 27-32, a...Ch. 1.5 - Describing Function Behavior In Exercises 33 40,...Ch. 1.5 - Describing Function Behavior In Exercises 33 40,...Ch. 1.5 - Describing Function Behavior In Exercises 33 40,...Ch. 1.5 - Describing Function Behavior In Exercises 33 40,...Ch. 1.5 - Describing Function Behavior In Exercises 33 40,...Ch. 1.5 - Describing Function Behavior In Exercises 33 40,...Ch. 1.5 - Describing Function Behavior In Exercises 33 40,...Ch. 1.5 - Describing Function Behavior In Exercises 33 40,...Ch. 1.5 - Describing Function Behavior In Exercises 41 48,...Ch. 1.5 - Describing Function Behavior In Exercises 41 48,...Ch. 1.5 - Describing Function Behavior In Exercises 41 48,...Ch. 1.5 - Describing Function Behavior In Exercises 41 48,...Ch. 1.5 - Describing Function Behavior In Exercises 41 48,...Ch. 1.5 - Describing Function Behavior In Exercises 41 48,...Ch. 1.5 - Describing Function Behavior In Exercises 41 48,...Ch. 1.5 - Describing Function Behavior In Exercises 41 48,...Ch. 1.5 - Approximating Relative Minima or Maxima In...Ch. 1.5 - Approximating Relative Minima or Maxima In...Ch. 1.5 - Approximating Relative Minima or Maxima In...Ch. 1.5 - Approximating Relative Minima or Maxima In...Ch. 1.5 - Approximating Relative Minima or Maxima In...Ch. 1.5 - Approximating Relative Minima or Maxima In...Ch. 1.5 - Graphical reasoning In Exercises 55 60, graph the...Ch. 1.5 - Graphical reasoning In Exercises 55 60, graph the...Ch. 1.5 - Graphical reasoning In Exercises 55 60, graph the...Ch. 1.5 - Graphical reasoning In Exercises 55 60, graph the...Ch. 1.5 - Graphical reasoning In Exercises 55 60, graph the...Ch. 1.5 - Graphical reasoning In Exercises 55 60, graph the...Ch. 1.5 - Average Rate of Change of a Function In Exercises...Ch. 1.5 - Average Rate of Change of a Function In Exercises...Ch. 1.5 - Average Rate of Change of a Function In Exercises...Ch. 1.5 - Average Rate of Change of a Function In Exercises...Ch. 1.5 - Research and Development The amounts in billions...Ch. 1.5 - Finding Average Speed Use the information in the...Ch. 1.5 - Physics In Exercises 67 70, a use the position...Ch. 1.5 - Physics In Exercises 67 70, a use the position...Ch. 1.5 - Physics In Exercises 67 70, a use the position...Ch. 1.5 - Physics In Exercises 67 70, a use the position...Ch. 1.5 - Prob. 71ECh. 1.5 - Prob. 72ECh. 1.5 - Prob. 73ECh. 1.5 - Prob. 74ECh. 1.5 - Even, Odd, or Neither? In Exercises 71 76,...Ch. 1.5 - Even, Odd, or Neither? In Exercises 71 76,...Ch. 1.5 - Even, Odd, or Neither? In Exercises 77 82, sketch...Ch. 1.5 - Even, Odd, or Neither? In Exercises 77 82, sketch...Ch. 1.5 - Even, Odd, or Neither? In Exercises 77 82, sketch...Ch. 1.5 - Even, Odd, or Neither? In Exercises 77 82, sketch...Ch. 1.5 - Even, Odd, or Neither? In Exercises 77 82, sketch...Ch. 1.5 - Even, Odd, or Neither? In Exercises 77 82, sketch...Ch. 1.5 - Height of a Rectangle In Exercises 83 and 84,...Ch. 1.5 - Height of a Rectangle In Exercises 83 and 84,...Ch. 1.5 - Length of a Rectangle In Exercises 85 and 86,...Ch. 1.5 - Length of a Rectangle In Exercises 85 and 86,...Ch. 1.5 - Error Analysis Describe the error. The function...Ch. 1.5 - Geometry Corners of equal size are cut from a...Ch. 1.5 - Coordinate Axis Scale Each function described...Ch. 1.5 - Temperature The table shows the temperatures y in...Ch. 1.5 - True or False? In Exercises 91-93, determine...Ch. 1.5 - True or False? In Exercises 91-93, determine...Ch. 1.5 - True or False? In Exercises 91-93, determine...Ch. 1.5 - HOW DO YOU SEE IT? Use the graph of the function...Ch. 1.5 - Think About It In Exercises 95 and 96, find the...Ch. 1.5 - Think About It In Exercises 95 and 96, find the...Ch. 1.5 - Writing Use a graphing utility to graph each...Ch. 1.5 - Graphical Reasoning Graph each of the functions...Ch. 1.5 - Even, Odd, or Neither? Determine whether g is...Ch. 1.6 - Write the linear function f for which...Ch. 1.6 - Evaluate the function f(x)=x+2 when x=32,1,and52.Ch. 1.6 - Sketch the graph of f(x)={12x6,x4x+5,x>4Ch. 1.6 - Vocabulary In Exercises 1-9, write the specific...Ch. 1.6 - Vocabulary In Exercises 1-9, write the specific...Ch. 1.6 - Vocabulary In Exercises 1-9, write the specific...Ch. 1.6 - Prob. 4ECh. 1.6 - Prob. 5ECh. 1.6 - Prob. 6ECh. 1.6 - Prob. 7ECh. 1.6 - Prob. 8ECh. 1.6 - Prob. 9ECh. 1.6 - Prob. 10ECh. 1.6 - Prob. 11ECh. 1.6 - Prob. 12ECh. 1.6 - Writing a Linear Function In Exercises 11-14, a...Ch. 1.6 - Prob. 14ECh. 1.6 - Prob. 15ECh. 1.6 - Prob. 16ECh. 1.6 - Prob. 17ECh. 1.6 - Prob. 18ECh. 1.6 - Prob. 19ECh. 1.6 - Prob. 20ECh. 1.6 - Prob. 21ECh. 1.6 - Prob. 22ECh. 1.6 - Prob. 23ECh. 1.6 - Graphing a Function In Exercises 15-26, use a...Ch. 1.6 - Prob. 25ECh. 1.6 - Prob. 26ECh. 1.6 - Evaluating a Step Function In Exercises 27-30,...Ch. 1.6 - Prob. 27.2ECh. 1.6 - Prob. 27.3ECh. 1.6 - Prob. 27.4ECh. 1.6 - Prob. 28.1ECh. 1.6 - Prob. 28.2ECh. 1.6 - Prob. 28.3ECh. 1.6 - Prob. 28.4ECh. 1.6 - Evaluating a Step Function In Exercises 27-30,...Ch. 1.6 - Prob. 29.2ECh. 1.6 - Prob. 29.3ECh. 1.6 - Prob. 29.4ECh. 1.6 - Prob. 30.1ECh. 1.6 - Prob. 30.2ECh. 1.6 - Prob. 30.3ECh. 1.6 - Prob. 30.4ECh. 1.6 - Prob. 31ECh. 1.6 - Prob. 32ECh. 1.6 - Prob. 33ECh. 1.6 - Prob. 34ECh. 1.6 - Graphing a Piecewise-Defined Function In Exercises...Ch. 1.6 - Graphing a Piecewise-Defined Function In Exercises...Ch. 1.6 - Graphing a Piecewise-Defined Function In Exercises...Ch. 1.6 - Graphing a Piecewise-Defined Function In Exercises...Ch. 1.6 - Graphing a Piecewise-Defined Function In Exercises...Ch. 1.6 - Prob. 40ECh. 1.6 - Prob. 41ECh. 1.6 - Prob. 42ECh. 1.6 - Wages A mechanics pay is 14 per hour for regular...Ch. 1.6 - Wages A mechanics pay is 14 per hour for regular...Ch. 1.6 - Wages A mechanics pay is 14 per hour for regular...Ch. 1.6 - Prob. 44ECh. 1.6 - Prob. 45ECh. 1.6 - Prob. 46ECh. 1.6 - Prob. 47ECh. 1.6 - HOW DO YOU SEE IT? For each graph of f shown...Ch. 1.6 - Prob. 49ECh. 1.6 - Prob. 50ECh. 1.7 - Checkpoint Use the graph of f(x)=x3 to sketch the...Ch. 1.7 - Prob. 2CPCh. 1.7 - Prob. 3CPCh. 1.7 - Checkpoint Compare the graph of each function with...Ch. 1.7 - Prob. 5CPCh. 1.7 - Prob. 1ECh. 1.7 - Prob. 2ECh. 1.7 - Prob. 3ECh. 1.7 - Prob. 4ECh. 1.7 - Shifting the Graph of a Function For each...Ch. 1.7 - Prob. 6ECh. 1.7 - Prob. 7ECh. 1.7 - Prob. 8ECh. 1.7 - Sketching Transformations In Exercises 9 and 10,...Ch. 1.7 - Sketching Transformations In Exercises 9 and 10,...Ch. 1.7 - Writing Equations from Graphs Use the graph of...Ch. 1.7 - Writing Equations from Graphs Use the graph of...Ch. 1.7 - Prob. 13ECh. 1.7 - Prob. 14ECh. 1.7 - Prob. 15ECh. 1.7 - Prob. 16ECh. 1.7 - Prob. 17ECh. 1.7 - Prob. 18ECh. 1.7 - Prob. 19ECh. 1.7 - Prob. 20ECh. 1.7 - Describing Transformations In Exercises 21 38, g...Ch. 1.7 - Describing Transformations In Exercises 21 38, g...Ch. 1.7 - Describing Transformations In Exercises 21 38, g...Ch. 1.7 - Prob. 24ECh. 1.7 - Prob. 25ECh. 1.7 - Prob. 26ECh. 1.7 - Prob. 27ECh. 1.7 - Prob. 28ECh. 1.7 - Prob. 29ECh. 1.7 - Prob. 30ECh. 1.7 - Prob. 31ECh. 1.7 - Prob. 32ECh. 1.7 - Prob. 33ECh. 1.7 - Prob. 34ECh. 1.7 - Describing Transformations In Exercises 21 38, g...Ch. 1.7 - Describing Transformations In Exercises 21 38, g...Ch. 1.7 - Prob. 37ECh. 1.7 - Prob. 38ECh. 1.7 - Prob. 39ECh. 1.7 - Prob. 40ECh. 1.7 - Prob. 41ECh. 1.7 - Writing an Equation from a Description In...Ch. 1.7 - Prob. 43ECh. 1.7 - Prob. 44ECh. 1.7 - Prob. 45ECh. 1.7 - Prob. 46ECh. 1.7 - Prob. 47ECh. 1.7 - Prob. 48ECh. 1.7 - Writing Equations from Graphs Use the graph of...Ch. 1.7 - Writing Equations from Graphs Use the graph of...Ch. 1.7 - Prob. 51ECh. 1.7 - Prob. 52ECh. 1.7 - Prob. 53ECh. 1.7 - Prob. 54ECh. 1.7 - Prob. 55ECh. 1.7 - Prob. 56ECh. 1.7 - Prob. 57ECh. 1.7 - Prob. 58ECh. 1.7 - Prob. 59ECh. 1.7 - Prob. 60ECh. 1.7 - Prob. 61ECh. 1.7 - Prob. 62ECh. 1.7 - Prob. 63ECh. 1.7 - Prob. 64ECh. 1.7 - Prob. 65ECh. 1.7 - Prob. 66ECh. 1.7 - Prob. 67ECh. 1.7 - Prob. 68ECh. 1.7 - Prob. 69ECh. 1.7 - Prob. 70ECh. 1.7 - Prob. 71ECh. 1.7 - Prob. 72ECh. 1.8 - Given f(x)=x2andg(x)=1x,find(f+g)(x). Then...Ch. 1.8 - Prob. 2CPCh. 1.8 - Prob. 3CPCh. 1.8 - Find (f/g)(x)and(g/f)(x) for the functions...Ch. 1.8 - Prob. 5CPCh. 1.8 - Prob. 6CPCh. 1.8 - Prob. 7CPCh. 1.8 - Prob. 8CPCh. 1.8 - Prob. 1ECh. 1.8 - Prob. 2ECh. 1.8 - Graphing the Sum of Two Functions In Exercises 3...Ch. 1.8 - Graphing the Sum of Two Functions In Exercises 3...Ch. 1.8 - Skills and Applications Finding Arithmetic...Ch. 1.8 - Prob. 6ECh. 1.8 - Prob. 7ECh. 1.8 - Prob. 8ECh. 1.8 - Finding Arithmetic Combinations of Functions In...Ch. 1.8 - Finding Arithmetic Combinations of Functions In...Ch. 1.8 - Prob. 11ECh. 1.8 - Prob. 12ECh. 1.8 - Prob. 13ECh. 1.8 - Prob. 14ECh. 1.8 - Prob. 15ECh. 1.8 - Prob. 16ECh. 1.8 - Prob. 17ECh. 1.8 - Prob. 18ECh. 1.8 - Prob. 19ECh. 1.8 - Prob. 20ECh. 1.8 - Prob. 21ECh. 1.8 - Prob. 22ECh. 1.8 - Prob. 23ECh. 1.8 - Prob. 24ECh. 1.8 - Prob. 25ECh. 1.8 - Prob. 26ECh. 1.8 - Prob. 27ECh. 1.8 - Prob. 28ECh. 1.8 - Prob. 29ECh. 1.8 - Prob. 30ECh. 1.8 - Prob. 31ECh. 1.8 - Finding Compositions of Functions In Exercises...Ch. 1.8 - Finding Compositions of Functions In Exercises...Ch. 1.8 - Prob. 34ECh. 1.8 - Prob. 35ECh. 1.8 - Prob. 36ECh. 1.8 - Prob. 37ECh. 1.8 - Prob. 38ECh. 1.8 - Prob. 39ECh. 1.8 - Prob. 40ECh. 1.8 - Finding Domains of Functions and Composite...Ch. 1.8 - Prob. 42ECh. 1.8 - Prob. 43ECh. 1.8 - Prob. 44ECh. 1.8 - Prob. 45ECh. 1.8 - Prob. 46ECh. 1.8 - Evaluating Combinations of Functions In Exercises...Ch. 1.8 - Prob. 48ECh. 1.8 - Prob. 49ECh. 1.8 - Prob. 50ECh. 1.8 - Prob. 51ECh. 1.8 - Prob. 52ECh. 1.8 - Prob. 53ECh. 1.8 - Prob. 54ECh. 1.8 - Prob. 55ECh. 1.8 - Prob. 56ECh. 1.8 - Prob. 57ECh. 1.8 - Prob. 58ECh. 1.8 - Prob. 59ECh. 1.8 - Pets Let d(t) be the number of dogs in the United...Ch. 1.8 - Prob. 61ECh. 1.8 - Prob. 62ECh. 1.8 - Prob. 63ECh. 1.8 - Consumer Awareness The suggested retail price of a...Ch. 1.8 - Prob. 65ECh. 1.8 - Prob. 66ECh. 1.8 - Siblings In Exercises 67 and 68, three siblings...Ch. 1.8 - Prob. 68ECh. 1.8 - Prob. 69ECh. 1.8 - Prob. 70ECh. 1.8 - Prob. 71ECh. 1.8 - Prob. 72ECh. 1.8 - Proof a Given a function f, prove that g is even...Ch. 1.9 - Find the inverse function of f(x)=15x. Then verify...Ch. 1.9 - Prob. 2CPCh. 1.9 - Prob. 3CPCh. 1.9 - Prob. 4CPCh. 1.9 - Prob. 5CPCh. 1.9 - Prob. 6CPCh. 1.9 - Prob. 7CPCh. 1.9 - Fill in the blanks. If f(g(x)) and g(f(x)) both...Ch. 1.9 - Prob. 2ECh. 1.9 - Prob. 3ECh. 1.9 - Prob. 4ECh. 1.9 - Prob. 5ECh. 1.9 - Prob. 6ECh. 1.9 - Prob. 7ECh. 1.9 - Prob. 8ECh. 1.9 - Prob. 9ECh. 1.9 - Finding an Inverse Function Informally In Exercise...Ch. 1.9 - Prob. 11ECh. 1.9 - Prob. 12ECh. 1.9 - Finding an Inverse Function Informally In Exercise...Ch. 1.9 - Prob. 14ECh. 1.9 - Prob. 15ECh. 1.9 - Prob. 16ECh. 1.9 - Prob. 17ECh. 1.9 - Prob. 18ECh. 1.9 - Sketching the Graph of an Inverse Function In...Ch. 1.9 - Prob. 20ECh. 1.9 - Prob. 21ECh. 1.9 - Prob. 22ECh. 1.9 - Prob. 23ECh. 1.9 - Prob. 24ECh. 1.9 - Prob. 25ECh. 1.9 - Prob. 26ECh. 1.9 - Prob. 27ECh. 1.9 - Verifying Inverse Functions In Exercises 2132,...Ch. 1.9 - Prob. 29ECh. 1.9 - Prob. 30ECh. 1.9 - Prob. 31ECh. 1.9 - Verifying Inverse Functions In Exercises 2132,...Ch. 1.9 - Prob. 33ECh. 1.9 - Prob. 34ECh. 1.9 - Prob. 35ECh. 1.9 - Prob. 36ECh. 1.9 - Prob. 37ECh. 1.9 - Applying the Horizontal Line Test In Exercises...Ch. 1.9 - Prob. 39ECh. 1.9 - Prob. 40ECh. 1.9 - Prob. 41ECh. 1.9 - Prob. 42ECh. 1.9 - Prob. 43ECh. 1.9 - Prob. 44ECh. 1.9 - Prob. 45ECh. 1.9 - Finding and Analyzing Inverse Function In...Ch. 1.9 - Finding and Analyzing Inverse Function In...Ch. 1.9 - Finding and Analyzing Inverse Function In...Ch. 1.9 - Prob. 49ECh. 1.9 - Prob. 50ECh. 1.9 - Prob. 51ECh. 1.9 - Prob. 52ECh. 1.9 - Prob. 53ECh. 1.9 - Prob. 54ECh. 1.9 - Prob. 55ECh. 1.9 - Prob. 56ECh. 1.9 - Prob. 57ECh. 1.9 - Prob. 58ECh. 1.9 - Prob. 59ECh. 1.9 - Prob. 60ECh. 1.9 - Prob. 61ECh. 1.9 - Prob. 62ECh. 1.9 - Prob. 63ECh. 1.9 - Finding an Inverse Function In Exercises 5570,...Ch. 1.9 - Prob. 65ECh. 1.9 - Prob. 66ECh. 1.9 - Prob. 67ECh. 1.9 - Prob. 68ECh. 1.9 - Prob. 69ECh. 1.9 - Prob. 70ECh. 1.9 - Prob. 71ECh. 1.9 - Prob. 72ECh. 1.9 - Prob. 73ECh. 1.9 - Restricting the Domain In Exercises 7178, restrict...Ch. 1.9 - Prob. 75ECh. 1.9 - Prob. 76ECh. 1.9 - Prob. 77ECh. 1.9 - Prob. 78ECh. 1.9 - Prob. 79ECh. 1.9 - Prob. 80ECh. 1.9 - Prob. 81ECh. 1.9 - Prob. 82ECh. 1.9 - Prob. 83ECh. 1.9 - Prob. 84ECh. 1.9 - Prob. 85ECh. 1.9 - Prob. 86ECh. 1.9 - Prob. 87ECh. 1.9 - Prob. 88ECh. 1.9 - Prob. 89ECh. 1.9 - Prob. 90ECh. 1.9 - Prob. 91ECh. 1.9 - Prob. 92ECh. 1.9 - Prob. 93ECh. 1.9 - Prob. 94ECh. 1.9 - Prob. 95ECh. 1.9 - Prob. 96ECh. 1.9 - Prob. 97ECh. 1.9 - Prob. 98ECh. 1.9 - Prob. 99ECh. 1.9 - Prob. 100ECh. 1.9 - The number of miles n a marathon runner has...Ch. 1.9 - Prob. 102ECh. 1.10 - The ordered pairs below give the median sales...Ch. 1.10 - Prob. 2CPCh. 1.10 - The simple interest on an investment is directly...Ch. 1.10 - Prob. 4CPCh. 1.10 - Prob. 5CPCh. 1.10 - Prob. 6CPCh. 1.10 - Prob. 7CPCh. 1.10 - Prob. 1ECh. 1.10 - Prob. 2ECh. 1.10 - Prob. 3ECh. 1.10 - Prob. 4ECh. 1.10 - Prob. 5ECh. 1.10 - Prob. 6ECh. 1.10 - Prob. 7ECh. 1.10 - The joint variation model z=kxy can be described...Ch. 1.10 - Mathematical Models In Exercises 9 and 10, a plot...Ch. 1.10 - Prob. 10ECh. 1.10 - Prob. 11ECh. 1.10 - Prob. 12ECh. 1.10 - Sketching a Line In Exercises 11-16, sketch the...Ch. 1.10 - Prob. 14ECh. 1.10 - Prob. 15ECh. 1.10 - Prob. 16ECh. 1.10 - Sports The ordered pairs below give the winning...Ch. 1.10 - Broadway The ordered pairs below give the starting...Ch. 1.10 - Prob. 19ECh. 1.10 - Prob. 20ECh. 1.10 - Prob. 21ECh. 1.10 - Prob. 22ECh. 1.10 - Prob. 23ECh. 1.10 - Prob. 24ECh. 1.10 - Prob. 25ECh. 1.10 - Prob. 26ECh. 1.10 - Prob. 27ECh. 1.10 - Prob. 28ECh. 1.10 - Prob. 29ECh. 1.10 - Prob. 30ECh. 1.10 - Prob. 31ECh. 1.10 - Prob. 32ECh. 1.10 - Prob. 33ECh. 1.10 - Prob. 34ECh. 1.10 - Prob. 35ECh. 1.10 - Prob. 36ECh. 1.10 - Determining Variation In Exercises 35-38,...Ch. 1.10 - Prob. 38ECh. 1.10 - Prob. 39ECh. 1.10 - Prob. 40ECh. 1.10 - Prob. 41ECh. 1.10 - Finding a Mathematical Model In Exercises 39-48,...Ch. 1.10 - Prob. 43ECh. 1.10 - Prob. 44ECh. 1.10 - Finding a Mathematical Model In Exercises 39-48,...Ch. 1.10 - Prob. 46ECh. 1.10 - Finding a Mathematical Model In Exercises 39-48,...Ch. 1.10 - Prob. 48ECh. 1.10 - Prob. 49ECh. 1.10 - Prob. 50ECh. 1.10 - Prob. 51ECh. 1.10 - Prob. 52ECh. 1.10 - Prob. 53ECh. 1.10 - Prob. 54ECh. 1.10 - Prob. 55ECh. 1.10 - Prob. 56ECh. 1.10 - Prob. 57ECh. 1.10 - Finding a Mathematical Model In Exercises 53-60,...Ch. 1.10 - Prob. 59ECh. 1.10 - Prob. 60ECh. 1.10 - Simple Interest The simple interest on an...Ch. 1.10 - Prob. 62ECh. 1.10 - Prob. 63ECh. 1.10 - Measurement Use the fact that 14 gallons is...Ch. 1.10 - Prob. 65ECh. 1.10 - Prob. 66ECh. 1.10 - Prob. 67ECh. 1.10 - Prob. 68ECh. 1.10 - Ecology The diameter of the largest particle that...Ch. 1.10 - Work The work W required to lift an object varies...Ch. 1.10 - Ocean Temperatures The ordered pairs below give...Ch. 1.10 - Light IntensityThe ordered pairs below give the...Ch. 1.10 - MusicThe fundamental frequency in hertz of a piano...Ch. 1.10 - Prob. 74ECh. 1.10 - Prob. 75ECh. 1.10 - True or False?In Exercises 75 and 76, decide...Ch. 1.10 - Prob. 77ECh. 1.10 - Prob. 78ECh. 1.10 - Prob. 79ECh. 1.CR - Prob. 1CRCh. 1.CR - Plotting Points in the Cartesian Plane. In...Ch. 1.CR - Prob. 3CRCh. 1.CR - Prob. 4CRCh. 1.CR - Prob. 5CRCh. 1.CR - Prob. 6CRCh. 1.CR - Prob. 7CRCh. 1.CR - Prob. 8CRCh. 1.CR - Prob. 9CRCh. 1.CR - Prob. 10CRCh. 1.CR - Prob. 11CRCh. 1.CR - Prob. 12CRCh. 1.CR - Prob. 13CRCh. 1.CR - Prob. 14CRCh. 1.CR - Prob. 15CRCh. 1.CR - Prob. 16CRCh. 1.CR - Prob. 17CRCh. 1.CR - Prob. 18CRCh. 1.CR - Prob. 19CRCh. 1.CR - Prob. 20CRCh. 1.CR - Prob. 21CRCh. 1.CR - Prob. 22CRCh. 1.CR - Prob. 23CRCh. 1.CR - Prob. 24CRCh. 1.CR - Prob. 25CRCh. 1.CR - Prob. 26CRCh. 1.CR - Prob. 27CRCh. 1.CR - Prob. 28CRCh. 1.CR - Prob. 29CRCh. 1.CR - Prob. 30CRCh. 1.CR - Prob. 31CRCh. 1.CR - Prob. 32CRCh. 1.CR - Prob. 33CRCh. 1.CR - Prob. 34CRCh. 1.CR - Prob. 35CRCh. 1.CR - Prob. 36CRCh. 1.CR - Prob. 37CRCh. 1.CR - Prob. 38CRCh. 1.CR - Prob. 39CRCh. 1.CR - Prob. 40CRCh. 1.CR - Prob. 41CRCh. 1.CR - Prob. 42CRCh. 1.CR - Prob. 43CRCh. 1.CR - Prob. 44CRCh. 1.CR - Prob. 45CRCh. 1.CR - Prob. 46CRCh. 1.CR - Prob. 47.1CRCh. 1.CR - Prob. 47.2CRCh. 1.CR - Prob. 47.3CRCh. 1.CR - Prob. 47.4CRCh. 1.CR - Prob. 48.1CRCh. 1.CR - Prob. 48.2CRCh. 1.CR - Prob. 48.3CRCh. 1.CR - Prob. 48.4CRCh. 1.CR - Prob. 49CRCh. 1.CR - Prob. 50CRCh. 1.CR - Prob. 51CRCh. 1.CR - Prob. 52CRCh. 1.CR - Prob. 53CRCh. 1.CR - Prob. 54CRCh. 1.CR - Prob. 55CRCh. 1.CR - Prob. 56CRCh. 1.CR - Prob. 57CRCh. 1.CR - Prob. 58CRCh. 1.CR - Prob. 59CRCh. 1.CR - Prob. 60CRCh. 1.CR - Prob. 61CRCh. 1.CR - Prob. 62CRCh. 1.CR - Prob. 63CRCh. 1.CR - Prob. 64CRCh. 1.CR - Prob. 65CRCh. 1.CR - Prob. 66CRCh. 1.CR - Prob. 67CRCh. 1.CR - Prob. 68CRCh. 1.CR - Prob. 69CRCh. 1.CR - Prob. 70CRCh. 1.CR - Prob. 71CRCh. 1.CR - Prob. 72CRCh. 1.CR - Prob. 73CRCh. 1.CR - Prob. 74CRCh. 1.CR - Prob. 75CRCh. 1.CR - Prob. 76CRCh. 1.CR - Prob. 77CRCh. 1.CR - Prob. 78CRCh. 1.CR - Prob. 79CRCh. 1.CR - Prob. 80CRCh. 1.CR - Prob. 81CRCh. 1.CR - Prob. 82CRCh. 1.CR - Prob. 83CRCh. 1.CR - Prob. 84CRCh. 1.CR - Prob. 85CRCh. 1.CR - Prob. 86CRCh. 1.CR - Prob. 87CRCh. 1.CR - Prob. 88CRCh. 1.CR - Prob. 89CRCh. 1.CR - Prob. 90CRCh. 1.CR - Prob. 91.1CRCh. 1.CR - Prob. 91.2CRCh. 1.CR - Prob. 91.3CRCh. 1.CR - Prob. 91.4CRCh. 1.CR - Prob. 92.1CRCh. 1.CR - Prob. 92.2CRCh. 1.CR - Prob. 92.3CRCh. 1.CR - Prob. 92.4CRCh. 1.CR - Prob. 93CRCh. 1.CR - Prob. 94CRCh. 1.CR - Prob. 95CRCh. 1.CR - Prob. 96CRCh. 1.CR - Prob. 97CRCh. 1.CR - Prob. 98CRCh. 1.CR - Prob. 99CRCh. 1.CT - Prob. 1CTCh. 1.CT - Prob. 2CTCh. 1.CT - In Exercises 3-5, find any intercepts and test for...Ch. 1.CT - Prob. 4CTCh. 1.CT - Prob. 5CTCh. 1.CT - Prob. 6CTCh. 1.CT - Prob. 7CTCh. 1.CT - Prob. 8CTCh. 1.CT - Prob. 9CTCh. 1.CT - Prob. 10CTCh. 1.CT - Prob. 11CTCh. 1.CT - Prob. 12CTCh. 1.CT - Prob. 13CTCh. 1.CT - Prob. 14CTCh. 1.CT - Prob. 15CTCh. 1.CT - In Exercises 16-18, a identify the parent function...Ch. 1.CT - Prob. 17CTCh. 1.CT - In Exercises 16-18, a identify the parent function...Ch. 1.CT - Prob. 19CTCh. 1.CT - Prob. 20CTCh. 1.CT - Prob. 21CTCh. 1.CT - Prob. 22CTCh. 1.CT - Prob. 23CTCh. 1.CT - Prob. 24CTCh. 1.CT - Prob. 25CTCh. 1.CT - Prob. 26CTCh. 1.PS - Prob. 1PSCh. 1.PS - Prob. 2PSCh. 1.PS - Prob. 3PSCh. 1.PS - Prob. 4PSCh. 1.PS - Prob. 5PSCh. 1.PS - Prob. 6PSCh. 1.PS - Prob. 7PSCh. 1.PS - Prob. 8PSCh. 1.PS - Prob. 9PSCh. 1.PS - Prob. 10PSCh. 1.PS - Prob. 11.1PSCh. 1.PS - Prob. 11.2PSCh. 1.PS - Prob. 11.3PSCh. 1.PS - Prob. 11.4PSCh. 1.PS - Prob. 11.5PSCh. 1.PS - Prob. 11.6PSCh. 1.PS - Prob. 12.1PSCh. 1.PS - Prob. 12.2PSCh. 1.PS - Prob. 12.3PSCh. 1.PS - Prob. 13PSCh. 1.PS - Prob. 14.1PSCh. 1.PS - Prob. 14.2PSCh. 1.PS - Prob. 14.3PSCh. 1.PS - Prob. 14.4PSCh. 1.PS - Prob. 14.5PSCh. 1.PS - Prob. 14.6PSCh. 1.PS - Prob. 14.7PSCh. 1.PS - Prob. 15.1PSCh. 1.PS - Prob. 15.2PSCh. 1.PS - Prob. 15.3PSCh. 1.PS - Prob. 15.4PS
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