College Algebra & Trigonometry - Standalone book
College Algebra & Trigonometry - Standalone book
1st Edition
ISBN: 9780078035623
Author: Julie Miller, Donna Gerken
Publisher: McGraw-Hill Education
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Concept explainers

Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, c…
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Chapter 2.7, Problem 36PE
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To find: if the given function is even, odd or neither function using mathematical methodologies.

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Chapter 2 Solutions

College Algebra & Trigonometry - Standalone book

Ch. 2.1 - Prob. R.1PECh. 2.1 - Given a right triangle with a leg of length 7 km...Ch. 2.1 - Solve for y. ax+by=cCh. 2.1 - Prob. R.4PECh. 2.1 - In a rectangular coordinate system, the point...Ch. 2.1 - The x- and y-axes divide the coordinate plane into...Ch. 2.1 - Prob. 3PECh. 2.1 - Prob. 4PECh. 2.1 - Prob. 5PECh. 2.1 - Prob. 6PE
Ch. 2.1 - Prob. 7PECh. 2.1 - Prob. 8PECh. 2.1 - For Exercises 9-10, plot the points on a...Ch. 2.1 - Prob. 10PECh. 2.1 - Prob. 11PECh. 2.1 - Prob. 12PECh. 2.1 - Prob. 13PECh. 2.1 - Prob. 14PECh. 2.1 - Prob. 15PECh. 2.1 - Prob. 16PECh. 2.1 - Prob. 17PECh. 2.1 - For Exercises 11-18, a. Find the exact distance...Ch. 2.1 - Prob. 19PECh. 2.1 - Prob. 20PECh. 2.1 - Prob. 21PECh. 2.1 - Prob. 22PECh. 2.1 - Prob. 23PECh. 2.1 - Prob. 24PECh. 2.1 - Prob. 25PECh. 2.1 - Prob. 26PECh. 2.1 - Prob. 27PECh. 2.1 - Prob. 28PECh. 2.1 - Prob. 29PECh. 2.1 - Prob. 30PECh. 2.1 - Prob. 31PECh. 2.1 - Prob. 32PECh. 2.1 - Prob. 33PECh. 2.1 - Prob. 34PECh. 2.1 - For Exercises 31- 44, graph the equations by...Ch. 2.1 - Prob. 36PECh. 2.1 - Prob. 37PECh. 2.1 - Prob. 38PECh. 2.1 - Prob. 39PECh. 2.1 - Prob. 40PECh. 2.1 - Prob. 41PECh. 2.1 - Prob. 42PECh. 2.1 - Prob. 43PECh. 2.1 - Prob. 44PECh. 2.1 - Prob. 45PECh. 2.1 - Prob. 46PECh. 2.1 - Prob. 47PECh. 2.1 - Prob. 48PECh. 2.1 - Prob. 49PECh. 2.1 - Prob. 50PECh. 2.1 - Prob. 51PECh. 2.1 - Prob. 52PECh. 2.1 - Prob. 53PECh. 2.1 - Prob. 54PECh. 2.1 - Prob. 55PECh. 2.1 - Prob. 56PECh. 2.1 - Prob. 57PECh. 2.1 - Prob. 58PECh. 2.1 - Prob. 59PECh. 2.1 - Prob. 60PECh. 2.1 - Prob. 61PECh. 2.1 - Prob. 62PECh. 2.1 - Prob. 63PECh. 2.1 - Prob. 64PECh. 2.1 - Prob. 65PECh. 2.1 - Prob. 66PECh. 2.1 - Prob. 67PECh. 2.1 - Prob. 68PECh. 2.1 - For Exercises 69-70, assume that the units shown...Ch. 2.1 - For Exercises 69-70, assume that the units shown...Ch. 2.1 - Prob. 71PECh. 2.1 - Prob. 72PECh. 2.1 - Prob. 73PECh. 2.1 - Prob. 74PECh. 2.1 - Prob. 75PECh. 2.1 - Prob. 76PECh. 2.1 - Prob. 77PECh. 2.1 - Prob. 78PECh. 2.1 - Prob. 79PECh. 2.1 - Prob. 80PECh. 2.1 - Explain how to find the x- and y-intercepts from...Ch. 2.1 - Prob. 82PECh. 2.1 - Prob. 83PECh. 2.1 - Prob. 84PECh. 2.1 - Prob. 85PECh. 2.1 - Prob. 86PECh. 2.1 - Prob. 87PECh. 2.1 - Prob. 88PECh. 2.1 - Prob. 89PECh. 2.1 - Prob. 90PECh. 2.1 - Prob. 91PECh. 2.1 - Prob. 92PECh. 2.1 - Prob. 93PECh. 2.1 - For Exercises 93-94, graph the equations on the...Ch. 2.2 - For Exercises R.1-R.2, find the value of n so that...Ch. 2.2 - Prob. R.2PECh. 2.2 - Prob. R.3PECh. 2.2 - Prob. R.4PECh. 2.2 - Prob. 1PECh. 2.2 - Prob. 2PECh. 2.2 - Prob. 3PECh. 2.2 - Prob. 4PECh. 2.2 - Prob. 5PECh. 2.2 - Prob. 6PECh. 2.2 - Prob. 7PECh. 2.2 - Prob. 8PECh. 2.2 - Prob. 9PECh. 2.2 - Prob. 10PECh. 2.2 - Prob. 11PECh. 2.2 - Prob. 12PECh. 2.2 - Prob. 13PECh. 2.2 - Prob. 14PECh. 2.2 - Prob. 15PECh. 2.2 - Prob. 16PECh. 2.2 - Prob. 17PECh. 2.2 - Prob. 18PECh. 2.2 - Prob. 19PECh. 2.2 - Prob. 20PECh. 2.2 - Prob. 21PECh. 2.2 - Prob. 22PECh. 2.2 - Prob. 23PECh. 2.2 - Prob. 24PECh. 2.2 - Prob. 25PECh. 2.2 - Prob. 26PECh. 2.2 - Prob. 27PECh. 2.2 - Prob. 28PECh. 2.2 - Prob. 29PECh. 2.2 - Prob. 30PECh. 2.2 - Prob. 31PECh. 2.2 - Prob. 32PECh. 2.2 - Prob. 33PECh. 2.2 - Prob. 34PECh. 2.2 - Prob. 35PECh. 2.2 - Prob. 36PECh. 2.2 - Prob. 37PECh. 2.2 - Prob. 38PECh. 2.2 - Prob. 39PECh. 2.2 - Prob. 40PECh. 2.2 - Prob. 41PECh. 2.2 - Prob. 42PECh. 2.2 - Prob. 43PECh. 2.2 - Prob. 44PECh. 2.2 - Prob. 45PECh. 2.2 - Prob. 46PECh. 2.2 - Prob. 47PECh. 2.2 - Prob. 48PECh. 2.2 - Prob. 49PECh. 2.2 - Prob. 50PECh. 2.2 - Prob. 51PECh. 2.2 - Prob. 52PECh. 2.2 - Prob. 53PECh. 2.2 - Prob. 54PECh. 2.2 - A cell tower is a site where antennas,...Ch. 2.2 - A radar transmitter on a ship has a range of 20...Ch. 2.2 - Prob. 57PECh. 2.2 - Prob. 58PECh. 2.2 - Prob. 59PECh. 2.2 - Prob. 60PECh. 2.2 - Prob. 61PECh. 2.2 - Prob. 62PECh. 2.2 - Prob. 63PECh. 2.2 - Prob. 64PECh. 2.2 - Prob. 65PECh. 2.2 - Prob. 66PECh. 2.2 - Prob. 67PECh. 2.2 - Prob. 68PECh. 2.2 - Prob. 69PECh. 2.2 - Prob. 70PECh. 2.2 - Prob. 71PECh. 2.2 - Prob. 72PECh. 2.2 - Prob. 73PECh. 2.2 - Prob. 74PECh. 2.3 - Solve the equation using the square root property....Ch. 2.3 - Solve 4x27x15=0 .Ch. 2.3 - Solve. Write the solution set in interval...Ch. 2.3 - Solve. |2n+5|=2Ch. 2.3 - Solve. 2x5y=20 , Find the x-intercept. Find the...Ch. 2.3 - A set of ordered pairs (x, y) is called a______in...Ch. 2.3 - Given a function defined by y=f(x) , the statement...Ch. 2.3 - Prob. 3PECh. 2.3 - Given a function defined by y=f(x) , to find the...Ch. 2.3 - Prob. 5PECh. 2.3 - Given g(x)=x5 , the domain is restricted so that...Ch. 2.3 - Consider a relation that defines the height y of a...Ch. 2.3 - Consider a relation that defines a time y during...Ch. 2.3 - For Exercises 9-12, Write a set of ordered pairs...Ch. 2.3 - Prob. 10PECh. 2.3 - For Exercises 9-12, Write a set of ordered pairs...Ch. 2.3 - Prob. 12PECh. 2.3 - Prob. 13PECh. 2.3 - Answer true of false. All functions are relations.Ch. 2.3 - Prob. 15PECh. 2.3 - For Exercises 15-32, determine if the relation...Ch. 2.3 - For Exercises 15-32, determine if the relation...Ch. 2.3 - Prob. 18PECh. 2.3 - Prob. 19PECh. 2.3 - Prob. 20PECh. 2.3 - For Exercises 15-32, determine if the relation...Ch. 2.3 - Prob. 22PECh. 2.3 - For Exercises 15-32, determine if the relation...Ch. 2.3 - Prob. 24PECh. 2.3 - Prob. 25PECh. 2.3 - Prob. 26PECh. 2.3 - For Exercises 15-32, determine if the relation...Ch. 2.3 - For Exercises 15-32, determine if the relation...Ch. 2.3 - Prob. 29PECh. 2.3 - Prob. 30PECh. 2.3 - For Exercises 15-32, determine if the relation...Ch. 2.3 - Prob. 32PECh. 2.3 - The statement f(4)=1 corresponds to what ordered...Ch. 2.3 - Prob. 34PECh. 2.3 - For Exercises 35-56, evaluate the function for the...Ch. 2.3 - Prob. 36PECh. 2.3 - For Exercises 35-56, evaluate the function for the...Ch. 2.3 - Prob. 38PECh. 2.3 - Prob. 39PECh. 2.3 - Prob. 40PECh. 2.3 - Prob. 41PECh. 2.3 - Prob. 42PECh. 2.3 - Prob. 43PECh. 2.3 - Prob. 44PECh. 2.3 - Prob. 45PECh. 2.3 - Prob. 46PECh. 2.3 - Prob. 47PECh. 2.3 - Prob. 48PECh. 2.3 - Prob. 49PECh. 2.3 - For Exercises 35-56, evaluate the function for the...Ch. 2.3 - For Exercises 35-56, evaluate the function for the...Ch. 2.3 - For Exercises 35-56, evaluate the function for the...Ch. 2.3 - Prob. 53PECh. 2.3 - Prob. 54PECh. 2.3 - Prob. 55PECh. 2.3 - Prob. 56PECh. 2.3 - For Exercises 57-62, find and simplify f(x+h) ....Ch. 2.3 - For Exercises 57-62, find and simplify f(x+h) ....Ch. 2.3 - Prob. 59PECh. 2.3 - Prob. 60PECh. 2.3 - Prob. 61PECh. 2.3 - Prob. 62PECh. 2.3 - For Exercises 63-70, refer to the function...Ch. 2.3 - Prob. 64PECh. 2.3 - Prob. 65PECh. 2.3 - Prob. 66PECh. 2.3 - Prob. 67PECh. 2.3 - Prob. 68PECh. 2.3 - Prob. 69PECh. 2.3 - Prob. 70PECh. 2.3 - Prob. 71PECh. 2.3 - Frank needs to drive 250 mi from Daytona Beach to...Ch. 2.3 - At a restaurant, if a party has eight or more...Ch. 2.3 - A bookstore marks up the price of a book by 40% of...Ch. 2.3 - Prob. 75PECh. 2.3 - Prob. 76PECh. 2.3 - Prob. 77PECh. 2.3 - Prob. 78PECh. 2.3 - Prob. 79PECh. 2.3 - Prob. 80PECh. 2.3 - Prob. 81PECh. 2.3 - Prob. 82PECh. 2.3 - Prob. 83PECh. 2.3 - Prob. 84PECh. 2.3 - A student decides to finance a used car over a...Ch. 2.3 - Prob. 86PECh. 2.3 - Prob. 87PECh. 2.3 - Prob. 88PECh. 2.3 - For Exercises 87-96, determine the domain and...Ch. 2.3 - For Exercises 87-96, determine the domain and...Ch. 2.3 - Prob. 91PECh. 2.3 - Prob. 92PECh. 2.3 - Prob. 93PECh. 2.3 - Prob. 94PECh. 2.3 - Prob. 95PECh. 2.3 - For Exercises 87-96, determine the domain and...Ch. 2.3 - For Exercises 97-110, write the domain in interval...Ch. 2.3 - For Exercises 97-110, write the domain in interval...Ch. 2.3 - For Exercises 97-110, write the domain in interval...Ch. 2.3 - Prob. 100PECh. 2.3 - For Exercises 97-110, write the domain in interval...Ch. 2.3 - For Exercises 97-110, write the domain in interval...Ch. 2.3 - Prob. 103PECh. 2.3 - Prob. 104PECh. 2.3 - Prob. 105PECh. 2.3 - Prob. 106PECh. 2.3 - Prob. 107PECh. 2.3 - Prob. 108PECh. 2.3 - Prob. 109PECh. 2.3 - Prob. 110PECh. 2.3 - For Exercises 111-114, use the graph of y=f(x) to...Ch. 2.3 - For Exercises 111-114, use the graph of y=f(x) to...Ch. 2.3 - Prob. 113PECh. 2.3 - Prob. 114PECh. 2.3 - Prob. 115PECh. 2.3 - Prob. 116PECh. 2.3 - Prob. 117PECh. 2.3 - Prob. 118PECh. 2.3 - Prob. 119PECh. 2.3 - Prob. 120PECh. 2.3 - Prob. 121PECh. 2.3 - For Exercises 115122, write a function that...Ch. 2.3 - Prob. 123PECh. 2.3 - Prob. 124PECh. 2.3 - Prob. 125PECh. 2.3 - Prob. 126PECh. 2.4 - Determine the x- and y- intercepts for h(x)=6x42 aCh. 2.4 - Solve 7x8y=1 for y.Ch. 2.4 - Prob. R.3PECh. 2.4 - Prob. R.4PECh. 2.4 - Prob. R.5PECh. 2.4 - Prob. 1PECh. 2.4 - An equation of the form x = k where k is a...Ch. 2.4 - Prob. 3PECh. 2.4 - Write the formula for the slope of a line between...Ch. 2.4 - Prob. 5PECh. 2.4 - A functionfis a linear function iff(x)...Ch. 2.4 - Prob. 7PECh. 2.4 - The graph of a constant function defined by f(x) =...Ch. 2.4 - For Exercises 920, graph the equation and identify...Ch. 2.4 - Prob. 10PECh. 2.4 - For Exercises 920, graph the equation and identify...Ch. 2.4 - Prob. 12PECh. 2.4 - For Exercises 920, graph the equation and identify...Ch. 2.4 - Prob. 14PECh. 2.4 - Prob. 15PECh. 2.4 - Prob. 16PECh. 2.4 - Prob. 17PECh. 2.4 - Prob. 18PECh. 2.4 - Prob. 19PECh. 2.4 - For Exercises 920, graph the equation and identify...Ch. 2.4 - Find the average slope of the hill.Ch. 2.4 - Find the absolute value of the slope of the storm...Ch. 2.4 - Prob. 23PECh. 2.4 - Prob. 24PECh. 2.4 - Prob. 25PECh. 2.4 - For Exercises 25-36, determine the slope of the...Ch. 2.4 - For Exercises 25-36, determine the slope of the...Ch. 2.4 - For Exercises 25-36, determine the slope of the...Ch. 2.4 - For Exercises 25-36, determine the slope of the...Ch. 2.4 - Prob. 30PECh. 2.4 - Prob. 31PECh. 2.4 - Prob. 32PECh. 2.4 - Prob. 33PECh. 2.4 - Prob. 34PECh. 2.4 - Prob. 35PECh. 2.4 - Prob. 36PECh. 2.4 - For Exercises 37-42, determine the slope of the...Ch. 2.4 - For Exercises 37-42, determine the slope of the...Ch. 2.4 - For Exercises 37-42, determine the slope of the...Ch. 2.4 - For Exercises 37-42, determine the slope of the...Ch. 2.4 - Prob. 41PECh. 2.4 - For Exercises 37-42, determine the slope of the...Ch. 2.4 - What is the slope of a line perpendicular to the...Ch. 2.4 - What is the slope of a line parallel to the...Ch. 2.4 - What is the slope of a line defined by y = -7?Ch. 2.4 - Prob. 46PECh. 2.4 - Prob. 47PECh. 2.4 - Prob. 48PECh. 2.4 - Prob. 49PECh. 2.4 - Prob. 50PECh. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - Prob. 52PECh. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - Prob. 54PECh. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - Prob. 58PECh. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - For Exercises 5162, a. Write the equation in...Ch. 2.4 - For Exercises 6364, determine if the function is...Ch. 2.4 - For Exercises 6364, determine if the function is...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 6574, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 7578, a. Use slope-intercept form to...Ch. 2.4 - For Exercises 7578, a. Use slope-intercept form to...Ch. 2.4 - Prob. 77PECh. 2.4 - Prob. 78PECh. 2.4 - For Exercises 7980, find the slope of the secant...Ch. 2.4 - Prob. 80PECh. 2.4 - The function given by y = f(x) shows the value of...Ch. 2.4 - Prob. 82PECh. 2.4 - The number N(t) of new cases of a flu outbreak for...Ch. 2.4 - The speed v(L) (in m/sec) of an ocean wave in deep...Ch. 2.4 - For Exercises 8590, determine the average rate of...Ch. 2.4 - For Exercises 8590, determine the average rate of...Ch. 2.4 - Prob. 87PECh. 2.4 - Prob. 88PECh. 2.4 - Prob. 89PECh. 2.4 - Prob. 90PECh. 2.4 - For Exercises 9198, use the graph to solve the...Ch. 2.4 - Prob. 92PECh. 2.4 - Prob. 93PECh. 2.4 - Prob. 94PECh. 2.4 - For Exercises 9198, use the graph to solve the...Ch. 2.4 - Prob. 96PECh. 2.4 - Prob. 97PECh. 2.4 - Prob. 98PECh. 2.4 - Prob. 99PECh. 2.4 - Prob. 100PECh. 2.4 - Prob. 101PECh. 2.4 - Prob. 102PECh. 2.4 - Prob. 103PECh. 2.4 - Prob. 104PECh. 2.4 - Prob. 105PECh. 2.4 - Prob. 106PECh. 2.4 - Prob. 107PECh. 2.4 - Prob. 108PECh. 2.4 - Prob. 109PECh. 2.4 - Prob. 110PECh. 2.4 - Prob. 111PECh. 2.4 - Prob. 112PECh. 2.4 - Prob. 113PECh. 2.4 - Prob. 114PECh. 2.5 - Use slope-intercept form to write an equation of...Ch. 2.5 - Prob. R.2PECh. 2.5 - Prob. R.3PECh. 2.5 - Prob. R.4PECh. 2.5 - Prob. R.5PECh. 2.5 - Prob. 1PECh. 2.5 - If two nonvertical lines have the same slope but...Ch. 2.5 - Prob. 3PECh. 2.5 - Suppose that y = C(x) represents the cost to...Ch. 2.5 - Prob. 5PECh. 2.5 - Prob. 6PECh. 2.5 - For Exercises 520, use the point-slope formula to...Ch. 2.5 - Prob. 8PECh. 2.5 - Prob. 9PECh. 2.5 - Prob. 10PECh. 2.5 - Prob. 11PECh. 2.5 - Prob. 12PECh. 2.5 - Prob. 13PECh. 2.5 - For Exercises 520, use the point-slope formula to...Ch. 2.5 - Prob. 15PECh. 2.5 - Prob. 16PECh. 2.5 - Prob. 17PECh. 2.5 - Prob. 18PECh. 2.5 - Prob. 19PECh. 2.5 - For Exercises 520, use the point-slope formula to...Ch. 2.5 - Given a line defined by x = 4, what is the slope...Ch. 2.5 - Prob. 22PECh. 2.5 - For Exercises 2328, the slope of a line is given....Ch. 2.5 - Prob. 24PECh. 2.5 - Prob. 25PECh. 2.5 - Prob. 26PECh. 2.5 - Prob. 27PECh. 2.5 - Prob. 28PECh. 2.5 - For Exercises 2936, determine if the lines defined...Ch. 2.5 - Prob. 30PECh. 2.5 - Prob. 31PECh. 2.5 - Prob. 32PECh. 2.5 - Prob. 33PECh. 2.5 - Prob. 34PECh. 2.5 - For Exercises 2936, determine if the lines defined...Ch. 2.5 - Prob. 36PECh. 2.5 - For Exercises 37-44, write an equation of the line...Ch. 2.5 - For Exercises 37-44, write an equation of the line...Ch. 2.5 - Prob. 39PECh. 2.5 - Prob. 40PECh. 2.5 - Prob. 41PECh. 2.5 - Prob. 42PECh. 2.5 - For Exercises 37-44, write an equation of the line...Ch. 2.5 - Prob. 44PECh. 2.5 - Prob. 45PECh. 2.5 - Prob. 46PECh. 2.5 - Prob. 47PECh. 2.5 - Prob. 48PECh. 2.5 - Prob. 49PECh. 2.5 - Prob. 50PECh. 2.5 - Prob. 51PECh. 2.5 - At a parking garage in a large city, the charge...Ch. 2.5 - Prob. 53PECh. 2.5 - The average water level in a retention pond is 6.8...Ch. 2.5 - For Exercises 55-56, the fixed and variable costs...Ch. 2.5 - For Exercises 55-56, the fixed and variable costs...Ch. 2.5 - Prob. 57PECh. 2.5 - Prob. 58PECh. 2.5 - A small business makes cookies and sells them at...Ch. 2.5 - Prob. 60PECh. 2.5 - Prob. 61PECh. 2.5 - Prob. 62PECh. 2.5 - Prob. 63PECh. 2.5 - The graph shows the number of students enrolled in...Ch. 2.5 - The table gives the number of calories and the...Ch. 2.5 - The table gives the average gestation period for...Ch. 2.5 - Prob. 67PECh. 2.5 - Prob. 68PECh. 2.5 - Prob. 69PECh. 2.5 - Prob. 70PECh. 2.5 - Prob. 71PECh. 2.5 - The graph in Exercise 62 shows the weight of...Ch. 2.5 - The graph in Exercise 63 shows the average height...Ch. 2.5 - The graph in Exercise 64 shows the number of...Ch. 2.5 - The data in Exercise 65 give the amount of...Ch. 2.5 - The data in Exercise 66 give the average gestation...Ch. 2.5 - Suppose that a line passes through the points (4,...Ch. 2.5 - Prob. 78PECh. 2.5 - Write a rule for a linear function y = f(x), given...Ch. 2.5 - Prob. 80PECh. 2.5 - Prob. 81PECh. 2.5 - Prob. 82PECh. 2.5 - Prob. 83PECh. 2.5 - Prob. 84PECh. 2.5 - Prob. 85PECh. 2.5 - Prob. 86PECh. 2.5 - Prob. 87PECh. 2.5 - Prob. 88PECh. 2.5 - Prob. 89PECh. 2.5 - Prob. 90PECh. 2.5 - Prob. 91PECh. 2.5 - Prob. 92PECh. 2.6 - For Exercises R.1-R.3, graph each equation. y=3x1Ch. 2.6 - Prob. R.2PECh. 2.6 - Prob. R.3PECh. 2.6 - Let c represent a positive real number. The graph...Ch. 2.6 - Let c represent a positive real number. The graph...Ch. 2.6 - Prob. 3PECh. 2.6 - The graph of y = 3f(x) is the graph of y = f(x)...Ch. 2.6 - The graph of y = f(3x) is the graph of y = f(x)...Ch. 2.6 - The graph of y=f(13x) is the graph of y = f(x)...Ch. 2.6 - The graph of y=13f(x) is the graph of y = f(x)...Ch. 2.6 - The graph of y = -f(x) is the graph of y = f(x)...Ch. 2.6 - Prob. 9PECh. 2.6 - Prob. 10PECh. 2.6 - Prob. 11PECh. 2.6 - Prob. 12PECh. 2.6 - Prob. 13PECh. 2.6 - Prob. 14PECh. 2.6 - Prob. 15PECh. 2.6 - Prob. 16PECh. 2.6 - For Exercises 15-26, use translations to graph the...Ch. 2.6 - Prob. 18PECh. 2.6 - For Exercises 15-26, use translations to graph the...Ch. 2.6 - Prob. 20PECh. 2.6 - For Exercises 15-26, use translations to graph the...Ch. 2.6 - Prob. 22PECh. 2.6 - Prob. 23PECh. 2.6 - For Exercises 15-26, use translations to graph the...Ch. 2.6 - Prob. 25PECh. 2.6 - For Exercises 15-26, use translations to graph the...Ch. 2.6 - For Exercises 2732, use transformations to graph...Ch. 2.6 - Prob. 28PECh. 2.6 - Prob. 29PECh. 2.6 - Prob. 30PECh. 2.6 - For Exercises 2732, use transformations to graph...Ch. 2.6 - Prob. 32PECh. 2.6 - Prob. 33PECh. 2.6 - Prob. 34PECh. 2.6 - For Exercises 3340, use the graphs of y = f(x) and...Ch. 2.6 - Prob. 36PECh. 2.6 - For Exercises 3340, use the graphs of y = f(x) and...Ch. 2.6 - For Exercises 3340, use the graphs of y = f(x) and...Ch. 2.6 - For Exercises 3340, use the graphs of y = f(x) and...Ch. 2.6 - For Exercises 3340, use the graphs of y = f(x) and...Ch. 2.6 - For Exercises 4146, graph the function by applying...Ch. 2.6 - For Exercises 4146, graph the function by applying...Ch. 2.6 - For Exercises 4146, graph the function by applying...Ch. 2.6 - For Exercises 4146, graph the function by applying...Ch. 2.6 - For Exercises 4146, graph the function by applying...Ch. 2.6 - For Exercises 4146, graph the function by applying...Ch. 2.6 - For Exercises 4750, use the graphs of y = f(x) and...Ch. 2.6 - Prob. 48PECh. 2.6 - Prob. 49PECh. 2.6 - Prob. 50PECh. 2.6 - Prob. 51PECh. 2.6 - Prob. 52PECh. 2.6 - For Exercises 5154, use the graphs of y = f(x) and...Ch. 2.6 - Prob. 54PECh. 2.6 - For Exercises 5562, a function g is given....Ch. 2.6 - Prob. 56PECh. 2.6 - For Exercises 5562, a function g is given....Ch. 2.6 - Prob. 58PECh. 2.6 - For Exercises 5562, a function g is given....Ch. 2.6 - Prob. 60PECh. 2.6 - Prob. 61PECh. 2.6 - Prob. 62PECh. 2.6 - For Exercises 6378, use transformations to graph...Ch. 2.6 - For Exercises 6378, use transformations to graph...Ch. 2.6 - Prob. 65PECh. 2.6 - Prob. 66PECh. 2.6 - Prob. 67PECh. 2.6 - Prob. 68PECh. 2.6 - Prob. 69PECh. 2.6 - Prob. 70PECh. 2.6 - For Exercises 6378, use transformations to graph...Ch. 2.6 - Prob. 72PECh. 2.6 - Prob. 73PECh. 2.6 - Prob. 74PECh. 2.6 - Prob. 75PECh. 2.6 - Prob. 76PECh. 2.6 - Prob. 77PECh. 2.6 - Prob. 78PECh. 2.6 - For Exercises 7986, the graph of y = f(x) is...Ch. 2.6 - Prob. 80PECh. 2.6 - Prob. 81PECh. 2.6 - Prob. 82PECh. 2.6 - For Exercises 7986, the graph of y = f(x) is...Ch. 2.6 - Prob. 84PECh. 2.6 - Prob. 85PECh. 2.6 - Prob. 86PECh. 2.6 - Prob. 87PECh. 2.6 - Prob. 88PECh. 2.6 - For Exercises 8790, write a function based on the...Ch. 2.6 - Prob. 90PECh. 2.6 - Prob. 91PECh. 2.6 - Prob. 92PECh. 2.6 - Prob. 93PECh. 2.6 - Prob. 94PECh. 2.6 - For Exercises 95100, use transformations on the...Ch. 2.6 - Prob. 96PECh. 2.6 - Prob. 97PECh. 2.6 - Prob. 98PECh. 2.6 - Prob. 99PECh. 2.6 - Prob. 100PECh. 2.6 - Prob. 101PECh. 2.6 - Prob. 102PECh. 2.6 - Prob. 103PECh. 2.7 - Given the function defined by f(x)=7x2 . Find f(a)...Ch. 2.7 - Prob. R.2PECh. 2.7 - Prob. R.3PECh. 2.7 - Prob. R.4PECh. 2.7 - Prob. 1PECh. 2.7 - Prob. 2PECh. 2.7 - Prob. 3PECh. 2.7 - Prob. 4PECh. 2.7 - Prob. 5PECh. 2.7 - The expression ______ represents the greatest...Ch. 2.7 - For Exercises 718, determine whether the graph of...Ch. 2.7 - For Exercises 718, determine whether the graph of...Ch. 2.7 - For Exercises 718, determine whether the graph of...Ch. 2.7 - For Exercises 718, determine whether the graph of...Ch. 2.7 - Prob. 11PECh. 2.7 - Prob. 12PECh. 2.7 - Prob. 13PECh. 2.7 - For Exercises 718, determine whether the graph of...Ch. 2.7 - Prob. 15PECh. 2.7 - For Exercises 718, determine whether the graph of...Ch. 2.7 - Prob. 17PECh. 2.7 - Prob. 18PECh. 2.7 - Prob. 19PECh. 2.7 - Prob. 20PECh. 2.7 - Prob. 21PECh. 2.7 - For Exercises 2126, use the graph to determine if...Ch. 2.7 - For Exercises 2126, use the graph to determine if...Ch. 2.7 - For Exercises 2126, use the graph to determine if...Ch. 2.7 - Prob. 25PECh. 2.7 - Prob. 26PECh. 2.7 - Prob. 27PECh. 2.7 - a. Given g(x) = -x8 + |3x|, find g(-x). b. Is...Ch. 2.7 - a. Given h(x) = 4x3 - 2x, find h(-x). b. Find...Ch. 2.7 - Prob. 30PECh. 2.7 - a. Given m(x) = 4x2 + 2x - 3, find m(-x). b. Find...Ch. 2.7 - Prob. 32PECh. 2.7 - Prob. 33PECh. 2.7 - Prob. 34PECh. 2.7 - Prob. 35PECh. 2.7 - Prob. 36PECh. 2.7 - Prob. 37PECh. 2.7 - Prob. 38PECh. 2.7 - For Exercises 3346, determine if the function is...Ch. 2.7 - Prob. 40PECh. 2.7 - Prob. 41PECh. 2.7 - Prob. 42PECh. 2.7 - Prob. 43PECh. 2.7 - Prob. 44PECh. 2.7 - Prob. 45PECh. 2.7 - Prob. 46PECh. 2.7 - For Exercises 4750, evaluate the function for the...Ch. 2.7 - Prob. 48PECh. 2.7 - Prob. 49PECh. 2.7 - Prob. 50PECh. 2.7 - A sled accelerates down a hill and then slows down...Ch. 2.7 - A car starts from rest and accelerates to a speed...Ch. 2.7 - Prob. 53PECh. 2.7 - Prob. 54PECh. 2.7 - Prob. 55PECh. 2.7 - Prob. 56PECh. 2.7 - a. Graph p(x)=x+2for0. (See Example 6-7) b. Graph...Ch. 2.7 - a. Graph f(x)=|x|forx0 b. Graph g(x)=xforx0...Ch. 2.7 - Prob. 59PECh. 2.7 - Prob. 60PECh. 2.7 - For Exercises 61-70, graph the function. (See...Ch. 2.7 - For Exercises 61-70, graph the function. (See...Ch. 2.7 - Prob. 63PECh. 2.7 - Prob. 64PECh. 2.7 - Prob. 65PECh. 2.7 - Prob. 66PECh. 2.7 - Prob. 67PECh. 2.7 - Prob. 68PECh. 2.7 - Prob. 69PECh. 2.7 - For Exercises 61-70, graph the function. (See...Ch. 2.7 - Prob. 71PECh. 2.7 - Prob. 72PECh. 2.7 - Prob. 73PECh. 2.7 - Prob. 74PECh. 2.7 - Prob. 75PECh. 2.7 - Prob. 76PECh. 2.7 - Prob. 77PECh. 2.7 - Prob. 78PECh. 2.7 - Prob. 79PECh. 2.7 - Prob. 80PECh. 2.7 - Prob. 81PECh. 2.7 - Prob. 82PECh. 2.7 - Prob. 83PECh. 2.7 - Prob. 84PECh. 2.7 - Prob. 85PECh. 2.7 - The water level in a retention pond started at 5...Ch. 2.7 - Prob. 87PECh. 2.7 - Prob. 88PECh. 2.7 - For Exercises 8996, use interval notation to write...Ch. 2.7 - Prob. 90PECh. 2.7 - Prob. 91PECh. 2.7 - Prob. 92PECh. 2.7 - Prob. 93PECh. 2.7 - Prob. 94PECh. 2.7 - For Exercises 8996, use interval notation to write...Ch. 2.7 - Prob. 96PECh. 2.7 - Prob. 97PECh. 2.7 - Prob. 98PECh. 2.7 - For Exercises 97102, identify the location and...Ch. 2.7 - Prob. 100PECh. 2.7 - Prob. 101PECh. 2.7 - Prob. 102PECh. 2.7 - The graph shows the depth d (in ft) of a retention...Ch. 2.7 - The graph shows the height h (in meters) of a...Ch. 2.7 - Prob. 105PECh. 2.7 - Prob. 106PECh. 2.7 - Prob. 107PECh. 2.7 - For Exercises 105110, produce a rule for the...Ch. 2.7 - For Exercises 105110, produce a rule for the...Ch. 2.7 - Prob. 110PECh. 2.7 - Prob. 111PECh. 2.7 - Prob. 112PECh. 2.7 - Prob. 113PECh. 2.7 - Prob. 114PECh. 2.7 - Prob. 115PECh. 2.7 - Prob. 116PECh. 2.7 - Prob. 117PECh. 2.7 - Prob. 118PECh. 2.7 - Prob. 119PECh. 2.7 - Prob. 120PECh. 2.7 - Suppose that the average rate of change of a...Ch. 2.7 - Suppose that the average rate of change of a...Ch. 2.7 - Prob. 123PECh. 2.7 - Prob. 124PECh. 2.7 - Prob. 125PECh. 2.7 - Prob. 126PECh. 2.7 - For a recent year, the federal income tax owed by...Ch. 2.7 - Prob. 128PECh. 2.7 - Prob. 129PECh. 2.7 - Prob. 130PECh. 2.7 - Prob. 131PECh. 2.7 - Prob. 132PECh. 2.7 - Prob. 133PECh. 2.7 - Prob. 134PECh. 2.7 - Prob. 135PECh. 2.8 - For Exercises R.1-R.4, write the domain in...Ch. 2.8 - Prob. R.2PECh. 2.8 - Prob. R.3PECh. 2.8 - Prob. R.4PECh. 2.8 - Prob. R.5PECh. 2.8 - Prob. 1PECh. 2.8 - Prob. 2PECh. 2.8 - Let h represent a positive real number. Given a...Ch. 2.8 - Prob. 4PECh. 2.8 - Prob. 5PECh. 2.8 - Prob. 6PECh. 2.8 - Prob. 7PECh. 2.8 - Prob. 8PECh. 2.8 - For Exercises 918, evaluate the functions for the...Ch. 2.8 - Prob. 10PECh. 2.8 - Prob. 11PECh. 2.8 - Prob. 12PECh. 2.8 - For Exercises 918, evaluate the functions for the...Ch. 2.8 - Prob. 14PECh. 2.8 - For Exercises 918, evaluate the functions for the...Ch. 2.8 - Prob. 16PECh. 2.8 - For Exercises 918, evaluate the functions for the...Ch. 2.8 - Prob. 18PECh. 2.8 - For Exercises 1926, refer to the functions r, p,...Ch. 2.8 - Prob. 20PECh. 2.8 - Prob. 21PECh. 2.8 - Prob. 22PECh. 2.8 - For Exercises 1926, refer to the functions r, p,...Ch. 2.8 - Prob. 24PECh. 2.8 - For Exercises 1926, refer to the functions r, p,...Ch. 2.8 - Prob. 26PECh. 2.8 - Prob. 27PECh. 2.8 - Prob. 28PECh. 2.8 - For Exercises 2732, refer to functions s, t, and...Ch. 2.8 - Prob. 30PECh. 2.8 - Prob. 31PECh. 2.8 - Prob. 32PECh. 2.8 - Prob. 33PECh. 2.8 - Prob. 34PECh. 2.8 - Prob. 35PECh. 2.8 - Prob. 36PECh. 2.8 - Prob. 37PECh. 2.8 - Prob. 38PECh. 2.8 - Prob. 39PECh. 2.8 - Prob. 40PECh. 2.8 - Prob. 41PECh. 2.8 - Prob. 42PECh. 2.8 - Prob. 43PECh. 2.8 - Prob. 44PECh. 2.8 - Prob. 45PECh. 2.8 - Prob. 46PECh. 2.8 - For Exercises 4762, refer to functions f, g, and...Ch. 2.8 - Prob. 48PECh. 2.8 - Prob. 49PECh. 2.8 - Prob. 50PECh. 2.8 - Prob. 51PECh. 2.8 - Prob. 52PECh. 2.8 - For Exercises 4762, refer to functions f, g, and...Ch. 2.8 - Prob. 54PECh. 2.8 - Prob. 55PECh. 2.8 - Prob. 56PECh. 2.8 - Prob. 57PECh. 2.8 - Prob. 58PECh. 2.8 - Prob. 59PECh. 2.8 - Prob. 60PECh. 2.8 - Prob. 61PECh. 2.8 - Prob. 62PECh. 2.8 - Prob. 63PECh. 2.8 - Prob. 64PECh. 2.8 - For Exercises 6576, refer to functions m, n, p, q,...Ch. 2.8 - Prob. 66PECh. 2.8 - For Exercises 6576, refer to functions m, n, p, q,...Ch. 2.8 - Prob. 68PECh. 2.8 - Prob. 69PECh. 2.8 - Prob. 70PECh. 2.8 - Prob. 71PECh. 2.8 - For Exercises 6576, refer to functions m, n, p, q,...Ch. 2.8 - Prob. 73PECh. 2.8 - Prob. 74PECh. 2.8 - For Exercises 6576, refer to functions m, n, p, q,...Ch. 2.8 - Prob. 76PECh. 2.8 - Prob. 77PECh. 2.8 - Prob. 78PECh. 2.8 - For Exercises 7780, find (fg)(x) and write the...Ch. 2.8 - Prob. 80PECh. 2.8 - Prob. 81PECh. 2.8 - Prob. 82PECh. 2.8 - Prob. 83PECh. 2.8 - Prob. 84PECh. 2.8 - Prob. 85PECh. 2.8 - Prob. 86PECh. 2.8 - A law office orders business stationery. The cost...Ch. 2.8 - Prob. 88PECh. 2.8 - A bicycle wheel turns at a rate of 80 revolutions...Ch. 2.8 - Prob. 90PECh. 2.8 - For Exercises 9198, find two functions f and g...Ch. 2.8 - Prob. 92PECh. 2.8 - For Exercises 9198, find two functions f and g...Ch. 2.8 - Prob. 94PECh. 2.8 - Prob. 95PECh. 2.8 - Prob. 96PECh. 2.8 - Prob. 97PECh. 2.8 - Prob. 98PECh. 2.8 - For Exercises 99-102, the graphs of two functions...Ch. 2.8 - Prob. 100PECh. 2.8 - Prob. 101PECh. 2.8 - Prob. 102PECh. 2.8 - Prob. 103PECh. 2.8 - Prob. 104PECh. 2.8 - Prob. 105PECh. 2.8 - For Exercises 103110, refer to the functions f and...Ch. 2.8 - Prob. 107PECh. 2.8 - Prob. 108PECh. 2.8 - Prob. 109PECh. 2.8 - Prob. 110PECh. 2.8 - The diameter d of a sphere is twice the radius r....Ch. 2.8 - Prob. 112PECh. 2.8 - Prob. 113PECh. 2.8 - Prob. 114PECh. 2.8 - Prob. 115PECh. 2.8 - Prob. 116PECh. 2.8 - Prob. 117PECh. 2.8 - Prob. 118PECh. 2.8 - Prob. 119PECh. 2.8 - Prob. 120PECh. 2.8 - Prob. 121PECh. 2.8 - Prob. 122PECh. 2.8 - Prob. 123PECh. 2.8 - A car accelerates from 0 to 60 mph (88 ft/sec) in...Ch. 2.8 - Prob. 125PECh. 2.8 - Prob. 126PECh. 2.8 - Prob. 127PECh. 2.8 - Prob. 128PECh. 2.8 - Prob. 129PECh. 2.8 - Prob. 130PECh. 2 - In Section 2.6. we will learn additional...Ch. 2 - Prob. 2PRECh. 2 - Prob. 3PRECh. 2 - Prob. 4PRECh. 2 - Prob. 5PRECh. 2 - Prob. 6PRECh. 2 - Prob. 7PRECh. 2 - Prob. 8PRECh. 2 - Prob. 9PRECh. 2 - Prob. 10PRECh. 2 - Prob. 11PRECh. 2 - Prob. 12PRECh. 2 - Prob. 13PRECh. 2 - Prob. 14PRECh. 2 - Prob. 15PRECh. 2 - Prob. 16PRECh. 2 - Prob. 17PRECh. 2 - Prob. 18PRECh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - The function given by y = f(x) shows the value of...Ch. 2 - Given f(x) = -x3 + 4, determine the average rate...Ch. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Prob. 73RECh. 2 - Prob. 74RECh. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - Prob. 77RECh. 2 - Prob. 78RECh. 2 - Prob. 79RECh. 2 - Prob. 80RECh. 2 - Prob. 81RECh. 2 - Prob. 82RECh. 2 - Prob. 83RECh. 2 - For Exercises 7984, use the graph of y = f(x) to...Ch. 2 - Prob. 85RECh. 2 - Prob. 86RECh. 2 - Prob. 87RECh. 2 - Prob. 88RECh. 2 - Prob. 89RECh. 2 - Prob. 90RECh. 2 - Prob. 91RECh. 2 - Prob. 92RECh. 2 - Prob. 93RECh. 2 - Prob. 94RECh. 2 - Prob. 95RECh. 2 - Prob. 96RECh. 2 - Prob. 97RECh. 2 - Prob. 98RECh. 2 - Prob. 99RECh. 2 - Prob. 100RECh. 2 - Prob. 101RECh. 2 - Prob. 102RECh. 2 - Prob. 103RECh. 2 - Prob. 104RECh. 2 - Prob. 105RECh. 2 - Prob. 106RECh. 2 - Prob. 107RECh. 2 - Prob. 108RECh. 2 - Prob. 109RECh. 2 - Prob. 110RECh. 2 - Prob. 111RECh. 2 - Prob. 112RECh. 2 - Prob. 113RECh. 2 - Prob. 114RECh. 2 - Prob. 115RECh. 2 - Prob. 116RECh. 2 - Prob. 117RECh. 2 - Prob. 118RECh. 2 - Prob. 119RECh. 2 - Prob. 120RECh. 2 - Prob. 121RECh. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 5TCh. 2 - Prob. 6TCh. 2 - Prob. 7TCh. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - Prob. 11TCh. 2 - Prob. 12TCh. 2 - Prob. 13TCh. 2 - Prob. 14TCh. 2 - Prob. 15TCh. 2 - Prob. 16TCh. 2 - Prob. 17TCh. 2 - Prob. 18TCh. 2 - Prob. 19TCh. 2 - Prob. 20TCh. 2 - Prob. 21TCh. 2 - Prob. 22TCh. 2 - Prob. 23TCh. 2 - Prob. 24TCh. 2 - Prob. 25TCh. 2 - Prob. 26TCh. 2 - Prob. 27TCh. 2 - Prob. 28TCh. 2 - Prob. 29TCh. 2 - Prob. 30TCh. 2 - Prob. 1CRECh. 2 - Prob. 2CRECh. 2 - Prob. 3CRECh. 2 - Prob. 4CRECh. 2 - Prob. 5CRECh. 2 - Prob. 6CRECh. 2 - Prob. 7CRECh. 2 - Prob. 8CRECh. 2 - Prob. 9CRECh. 2 - Prob. 10CRECh. 2 - Prob. 11CRECh. 2 - Prob. 12CRECh. 2 - Prob. 13CRECh. 2 - Prob. 14CRECh. 2 - Prob. 15CRECh. 2 - Prob. 16CRECh. 2 - Prob. 17CRECh. 2 - Prob. 18CRECh. 2 - Prob. 19CRECh. 2 - Prob. 20CRE
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