Beginning and Intermediate Algebra
6th Edition
ISBN: 9781260673531
Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy
Publisher: McGraw-Hill Education
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Chapter 8.5, Problem 16PE
To determine
A variation model for the a varies directly as n and inversely as square of
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Translate the statement into an equation. (Use k to represent the constant of variation.)
The electrical resistance R of a wire varies directly with the length / of the wire and inversely with the square of its diameter d.
Additional Materials
Determine whether the statement makes sense or does not make sense, and explain your reasoning: "The graph of this direct variation equation that has a positive constant of variation shows one variable increasing as the other variable decreases."
What is the linear equation that was used to generate the values in the table? Write an expression for y as a linear function of x:
Chapter 8 Solutions
Beginning and Intermediate Algebra
Ch. 8.1 - Find the domain and range of the relation. { ( 0 ,...Ch. 8.1 - Prob. 2SPCh. 8.1 - Prob. 3SPCh. 8.1 - Prob. 4SPCh. 8.1 - Prob. 5SPCh. 8.1 - Prob. 6SPCh. 8.1 - Prob. 7SPCh. 8.1 - The linear equation, y = − 0.014 x + 64.5 , for...Ch. 8.1 - The linear equation, y = − 0.014 x + 64.5 , for...Ch. 8.1 - The linear equation, y = − 0.014 x + 64.5 , for...
Ch. 8.1 - 1. a. A set of ordered pairs is called a...Ch. 8.1 - Prob. 2PECh. 8.1 - Prob. 3PECh. 8.1 - Prob. 4PECh. 8.1 - Prob. 5PECh. 8.1 - For Exercises 3-14, a. Write the relation as a set...Ch. 8.1 - Prob. 7PECh. 8.1 - Prob. 8PECh. 8.1 - Prob. 9PECh. 8.1 - Prob. 10PECh. 8.1 - Prob. 11PECh. 8.1 - Prob. 12PECh. 8.1 - Prob. 13PECh. 8.1 - Prob. 14PECh. 8.1 - Prob. 15PECh. 8.1 - For Exercises 15-30, find the domain and range of...Ch. 8.1 - Prob. 17PECh. 8.1 - Prob. 18PECh. 8.1 - Prob. 19PECh. 8.1 - Prob. 20PECh. 8.1 - Prob. 21PECh. 8.1 - Prob. 22PECh. 8.1 - Prob. 23PECh. 8.1 - Prob. 24PECh. 8.1 - Prob. 25PECh. 8.1 - Prob. 26PECh. 8.1 - Prob. 27PECh. 8.1 - Prob. 28PECh. 8.1 - Prob. 29PECh. 8.1 - Prob. 30PECh. 8.1 - The table gives a relation between the month of...Ch. 8.1 - Prob. 32PECh. 8.1 - Prob. 33PECh. 8.1 - 34. The world record times for women’s track and...Ch. 8.1 - a. Define a relation with four ordered pairs such...Ch. 8.1 - Prob. 36PECh. 8.1 - Prob. 37PECh. 8.1 - Prob. 38PECh. 8.1 - Prob. 39PECh. 8.1 - Prob. 40PECh. 8.2 - Determine if the relation defines y as a function...Ch. 8.2 - Determine if the relation defines y as a function...Ch. 8.2 - Determine if the relation defines y as a function...Ch. 8.2 - Prob. 4SPCh. 8.2 - Use the vertical line test to determine whether...Ch. 8.2 - Given the function defined by f ( x ) = − 2 x − 3...Ch. 8.2 - Given the function defined by f ( x ) = − 2 x − 3...Ch. 8.2 - Given the function defined by f ( x ) = − 2 x − 3...Ch. 8.2 - Given the function defined by, find the function...Ch. 8.2 - Prob. 10SPCh. 8.2 - Given the function defined by, find the function...Ch. 8.2 - Given the function defined by g ( x ) = 4 x − 3 ,...Ch. 8.2 - Refer to the function graphed here.
13. Find.
Ch. 8.2 - Refer to the function graphed here.
14. Find.
Ch. 8.2 - Refer to the function graphed here. Find f ( 5 ) .Ch. 8.2 - Prob. 16SPCh. 8.2 - Prob. 17SPCh. 8.2 - Prob. 18SPCh. 8.2 - Prob. 19SPCh. 8.2 - Prob. 20SPCh. 8.2 - Prob. 21SPCh. 8.2 - a. Given a relation in x and y , we say that y is...Ch. 8.2 - Prob. 2PECh. 8.2 - Prob. 3PECh. 8.2 - Prob. 4PECh. 8.2 - Prob. 5PECh. 8.2 - Prob. 6PECh. 8.2 - For Exercises 5-10, determine if the relation...Ch. 8.2 - For Exercises 5-10, determine if the relation...Ch. 8.2 - For Exercises 5-10, determine if the relation...Ch. 8.2 - For Exercises 5-10, determine if the relation...Ch. 8.2 - For Exercises 11-16, use the vertical line test to...Ch. 8.2 - For Exercises 11-16, use the vertical line test to...Ch. 8.2 - For Exercises 11-16, use the vertical line test to...Ch. 8.2 - For Exercises 11-16, use the vertical line test to...Ch. 8.2 - For Exercises 11-16, use the vertical line test to...Ch. 8.2 - For Exercises 11-16, use the vertical line test to...Ch. 8.2 - Prob. 17PECh. 8.2 - Prob. 18PECh. 8.2 - Prob. 19PECh. 8.2 - Prob. 20PECh. 8.2 - Prob. 21PECh. 8.2 - Prob. 22PECh. 8.2 - Prob. 23PECh. 8.2 - Prob. 24PECh. 8.2 - Prob. 25PECh. 8.2 - Prob. 26PECh. 8.2 - Prob. 27PECh. 8.2 - Consider the functions defined by f ( x ) = 6 x −...Ch. 8.2 - Prob. 29PECh. 8.2 - Prob. 30PECh. 8.2 - Prob. 31PECh. 8.2 - Prob. 32PECh. 8.2 - Prob. 33PECh. 8.2 - Prob. 34PECh. 8.2 - Prob. 35PECh. 8.2 - Prob. 36PECh. 8.2 - Consider the functions defined by f ( x ) = 6 x −...Ch. 8.2 - Prob. 38PECh. 8.2 - Prob. 39PECh. 8.2 - Prob. 40PECh. 8.2 - Prob. 41PECh. 8.2 - Prob. 42PECh. 8.2 - Prob. 43PECh. 8.2 - Prob. 44PECh. 8.2 - Prob. 45PECh. 8.2 - Prob. 46PECh. 8.2 - Prob. 47PECh. 8.2 - Prob. 48PECh. 8.2 - Prob. 49PECh. 8.2 - Prob. 50PECh. 8.2 - Prob. 51PECh. 8.2 - Prob. 52PECh. 8.2 - Prob. 53PECh. 8.2 - Prob. 54PECh. 8.2 - Prob. 55PECh. 8.2 - Prob. 56PECh. 8.2 - Prob. 57PECh. 8.2 - Prob. 58PECh. 8.2 - Prob. 59PECh. 8.2 - Prob. 60PECh. 8.2 - 61. The graph of is given. (See Example...Ch. 8.2 - 62. The graph of is given.
a. Find .
b. Find...Ch. 8.2 - Prob. 63PECh. 8.2 - The graph of y = K ( x ) is given. a. Find K ( 0 )...Ch. 8.2 - Prob. 65PECh. 8.2 - The graph of y = q ( x ) is given. a. Find q ( 3 )...Ch. 8.2 - For Exercises 67-76, refer to the functions y = f...Ch. 8.2 - For Exercises 67-76, refer to the functions y = f...Ch. 8.2 - For Exercises 67-76, refer to the functions and ...Ch. 8.2 - For Exercises 67-76, refer to the functions y = f...Ch. 8.2 - Prob. 71PECh. 8.2 - Prob. 72PECh. 8.2 - Prob. 73PECh. 8.2 - Prob. 74PECh. 8.2 - Prob. 75PECh. 8.2 - Prob. 76PECh. 8.2 - 77. Explain how to determine the domain of the...Ch. 8.2 - Prob. 78PECh. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - Prob. 82PECh. 8.2 - Prob. 83PECh. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - Prob. 91PECh. 8.2 - Prob. 92PECh. 8.2 - Prob. 93PECh. 8.2 - For Exercises 79-94, find the domain. Write the...Ch. 8.2 - 95. The height (in feet) of a ball that is dropped...Ch. 8.2 - A ball is dropped from a 50-m building. The height...Ch. 8.2 - 97. If Alicia rides a bike at an average speed of...Ch. 8.2 - Brian’s score on an exam is a function of the...Ch. 8.2 - For Exercises 99–102, write a function defined by...Ch. 8.2 - Prob. 100PECh. 8.2 - For Exercises 99–102, write a function defined by...Ch. 8.2 - For Exercises 99–102, write a function defined by...Ch. 8.2 - Prob. 103PECh. 8.2 - Prob. 104PECh. 8.2 - Prob. 105PECh. 8.2 - Prob. 106PECh. 8.3 - Graph f ( x ) = − x 2 by first making a table of...Ch. 8.3 - Prob. 2SPCh. 8.3 - Prob. 3SPCh. 8.3 - Prob. 4SPCh. 8.3 - Prob. 5SPCh. 8.3 - Prob. 6SPCh. 8.3 - Prob. 7SPCh. 8.3 - Prob. 8SPCh. 8.3 - Prob. 9SPCh. 8.3 - Prob. 10SPCh. 8.3 - a. A function that can be written in form f ( x )...Ch. 8.3 - Prob. 2PECh. 8.3 - Prob. 3PECh. 8.3 - Prob. 4PECh. 8.3 - Prob. 5PECh. 8.3 - Prob. 6PECh. 8.3 - Prob. 7PECh. 8.3 - Prob. 8PECh. 8.3 - Graph the constant function f ( x ) = 2 . Then use...Ch. 8.3 - Prob. 10PECh. 8.3 - Prob. 11PECh. 8.3 - Prob. 12PECh. 8.3 - Prob. 13PECh. 8.3 - Prob. 14PECh. 8.3 - Prob. 15PECh. 8.3 - Prob. 16PECh. 8.3 - Prob. 17PECh. 8.3 - Prob. 18PECh. 8.3 - Prob. 19PECh. 8.3 - Prob. 20PECh. 8.3 - Prob. 21PECh. 8.3 - Prob. 22PECh. 8.3 - Prob. 23PECh. 8.3 - Prob. 24PECh. 8.3 - Prob. 25PECh. 8.3 - For Exercises 17-28, determine if the function is...Ch. 8.3 - For Exercises 17-28, determine if the function is...Ch. 8.3 - Prob. 28PECh. 8.3 - Prob. 29PECh. 8.3 - Prob. 30PECh. 8.3 - Prob. 31PECh. 8.3 - Prob. 32PECh. 8.3 - Prob. 33PECh. 8.3 - For Exercises 29-36, find the x- and y-intercepts,...Ch. 8.3 - Prob. 35PECh. 8.3 - Prob. 36PECh. 8.3 - Prob. 37PECh. 8.3 - Prob. 38PECh. 8.3 - Prob. 39PECh. 8.3 - Prob. 40PECh. 8.3 - Prob. 41PECh. 8.3 - Prob. 42PECh. 8.3 - Prob. 43PECh. 8.3 - Prob. 44PECh. 8.3 - For Exercises 43-52,
a. Identify the domain of...Ch. 8.3 - For Exercises 43-52, a. Identify the domain of the...Ch. 8.3 - For Exercises 43-52, a. Identify the domain of the...Ch. 8.3 - Prob. 48PECh. 8.3 - Prob. 49PECh. 8.3 - For Exercises 43-52,
a. Identify the domain of...Ch. 8.3 - Prob. 51PECh. 8.3 - Prob. 52PECh. 8.3 - Prob. 53PECh. 8.3 - Prob. 54PECh. 8.3 - Prob. 55PECh. 8.3 - Prob. 56PECh. 8.3 - Prob. 57PECh. 8.3 - Prob. 58PECh. 8.3 - Prob. 59PECh. 8.3 - Prob. 60PECh. 8.3 - Prob. 61PECh. 8.3 - Prob. 62PECh. 8.3 - Prob. 63PECh. 8.3 - Prob. 64PECh. 8.3 - Prob. 65PECh. 8.3 - Prob. 66PECh. 8.3 - For Exercises 67-70, find the x- and y- intercepts...Ch. 8.3 - Prob. 68PECh. 8.3 - For Exercises 67-70, find the x- and y-intercepts...Ch. 8.3 - For Exercises 67-70, find the x- and y- intercepts...Ch. 8.3 - Prob. 1PRECh. 8.3 - Prob. 2PRECh. 8.3 - Prob. 3PRECh. 8.3 - Prob. 4PRECh. 8.3 - Prob. 5PRECh. 8.3 - Prob. 6PRECh. 8.3 - Prob. 7PRECh. 8.3 - Prob. 8PRECh. 8.3 - Prob. 9PRECh. 8.3 - Prob. 10PRECh. 8.3 - Prob. 11PRECh. 8.3 - Prob. 12PRECh. 8.3 - Prob. 13PRECh. 8.3 - Prob. 14PRECh. 8.3 - Prob. 15PRECh. 8.4 - Givenandfind
1.
Ch. 8.4 - Prob. 2SPCh. 8.4 - Prob. 3SPCh. 8.4 - Given f ( x ) = x − 1 , g ( x ) = 5 x 2 + x , and...Ch. 8.4 - Prob. 5SPCh. 8.4 - Prob. 6SPCh. 8.4 - Prob. 7SPCh. 8.4 - Prob. 8SPCh. 8.4 - Prob. 9SPCh. 8.4 - Prob. 10SPCh. 8.4 - Prob. 11SPCh. 8.4 - Prob. 12SPCh. 8.4 - Find the values from the graph.
13.
Ch. 8.4 - Prob. 14SPCh. 8.4 - Prob. 1PECh. 8.4 - Prob. 2PECh. 8.4 - Prob. 3PECh. 8.4 - Prob. 4PECh. 8.4 - Prob. 5PECh. 8.4 - Prob. 6PECh. 8.4 - Prob. 7PECh. 8.4 - Prob. 8PECh. 8.4 - Prob. 9PECh. 8.4 - Prob. 10PECh. 8.4 - Prob. 11PECh. 8.4 - For Exercises 3-14, refer to the functions defined...Ch. 8.4 - Prob. 13PECh. 8.4 - Prob. 14PECh. 8.4 - Prob. 15PECh. 8.4 - Prob. 16PECh. 8.4 - Prob. 17PECh. 8.4 - Prob. 18PECh. 8.4 - Prob. 19PECh. 8.4 - Prob. 20PECh. 8.4 - Prob. 21PECh. 8.4 - Prob. 22PECh. 8.4 - Prob. 23PECh. 8.4 - Prob. 24PECh. 8.4 - Prob. 25PECh. 8.4 - Prob. 26PECh. 8.4 - Prob. 27PECh. 8.4 - Prob. 28PECh. 8.4 - Prob. 29PECh. 8.4 - Prob. 30PECh. 8.4 - Prob. 31PECh. 8.4 - Prob. 32PECh. 8.4 - Prob. 33PECh. 8.4 - Prob. 34PECh. 8.4 - Prob. 35PECh. 8.4 - Prob. 36PECh. 8.4 - Prob. 37PECh. 8.4 - For Exercises 31-46, to the functions defined...Ch. 8.4 - Prob. 39PECh. 8.4 - Prob. 40PECh. 8.4 - Prob. 41PECh. 8.4 - Prob. 42PECh. 8.4 - Prob. 43PECh. 8.4 - Prob. 44PECh. 8.4 - Prob. 45PECh. 8.4 - Prob. 46PECh. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - Prob. 51PECh. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - Prob. 57PECh. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - For Exercises 47-64, approximate each function...Ch. 8.4 - Prob. 63PECh. 8.4 - Prob. 64PECh. 8.4 - Prob. 65PECh. 8.4 - Prob. 66PECh. 8.4 - For Exercises 65-80, approximate each function...Ch. 8.4 - Prob. 68PECh. 8.4 - Prob. 69PECh. 8.4 - Prob. 70PECh. 8.4 - Prob. 71PECh. 8.4 - Prob. 72PECh. 8.4 - Prob. 73PECh. 8.4 - Prob. 74PECh. 8.4 - Prob. 75PECh. 8.4 - Prob. 76PECh. 8.4 - Prob. 77PECh. 8.4 - Prob. 78PECh. 8.4 - Prob. 79PECh. 8.4 - Prob. 80PECh. 8.4 - Prob. 81PECh. 8.4 - Prob. 82PECh. 8.4 - Prob. 83PECh. 8.4 - Prob. 84PECh. 8.4 - 85. Joe rides a bicycle and his wheels revolve at...Ch. 8.4 - Prob. 86PECh. 8.5 - Write each expression as an equivalent...Ch. 8.5 - Prob. 2SPCh. 8.5 - Prob. 3SPCh. 8.5 - Prob. 4SPCh. 8.5 - Prob. 5SPCh. 8.5 - The variable varies directly as square of When v...Ch. 8.5 - Prob. 7SPCh. 8.5 - Prob. 8SPCh. 8.5 - Prob. 9SPCh. 8.5 - Prob. 10SPCh. 8.5 - Prob. 11SPCh. 8.5 - Prob. 1PECh. 8.5 - Prob. 2PECh. 8.5 - Prob. 3PECh. 8.5 - Prob. 4PECh. 8.5 - For Exercises 11-22, write a variation model. Use...Ch. 8.5 - Prob. 6PECh. 8.5 - Prob. 7PECh. 8.5 - Prob. 8PECh. 8.5 - Prob. 9PECh. 8.5 - Prob. 10PECh. 8.5 - Prob. 11PECh. 8.5 - Prob. 12PECh. 8.5 - Prob. 13PECh. 8.5 - Prob. 14PECh. 8.5 - Prob. 15PECh. 8.5 - Prob. 16PECh. 8.5 - Prob. 17PECh. 8.5 - Prob. 18PECh. 8.5 - Prob. 19PECh. 8.5 - Prob. 20PECh. 8.5 - For Exercises 23-28, find the constant of...Ch. 8.5 - Prob. 22PECh. 8.5 - Prob. 23PECh. 8.5 - Prob. 24PECh. 8.5 - Prob. 25PECh. 8.5 - Prob. 26PECh. 8.5 - Prob. 27PECh. 8.5 - Prob. 28PECh. 8.5 - Prob. 29PECh. 8.5 - Prob. 30PECh. 8.5 - Prob. 31PECh. 8.5 - Prob. 32PECh. 8.5 - Prob. 33PECh. 8.5 - Prob. 34PECh. 8.5 - For Exercises 41-58, use a variation model to...Ch. 8.5 - Prob. 36PECh. 8.5 - For Exercises 41-58, use a variation model to...Ch. 8.5 - For Exercises 41-58, use a variation model to...Ch. 8.5 - Prob. 39PECh. 8.5 - For Exercises 41-58, use a variation model to...Ch. 8.5 - For Exercises 41-58, use a variation model to...Ch. 8.5 - Prob. 42PECh. 8.5 - Prob. 43PECh. 8.5 - For Exercises 41-58, use a variation model to...Ch. 8.5 - Prob. 45PECh. 8.5 - For Exercises 41-58, use a variation model to...Ch. 8.5 - Prob. 47PECh. 8.5 - Prob. 48PECh. 8.5 - For Exercises 41-58, use a variation model to...Ch. 8.5 - Prob. 50PECh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - Prob. 63RECh. 8 - Prob. 64RECh. 8 - Prob. 65RECh. 8 - Prob. 66RECh. 8 - Prob. 67RECh. 8 - Prob. 68RECh. 8 - Prob. 69RECh. 8 - Prob. 1TCh. 8 - For Exercises 1-2, a. determine if the relation...Ch. 8 - Explain how to find the x- and y-intercepts of the...Ch. 8 - For Exercises 4-7, graph the functions. f ( x ) =...Ch. 8 - Prob. 5TCh. 8 - For Exercises 4-7, graph the functions. p ( x ) =...Ch. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - Prob. 19TCh. 8 - Prob. 20TCh. 8 - Prob. 21TCh. 8 - Prob. 22TCh. 8 - Prob. 23TCh. 8 - Prob. 24TCh. 8 - Prob. 25TCh. 8 - Prob. 26TCh. 8 - Prob. 27TCh. 8 - Prob. 28TCh. 8 - Prob. 29TCh. 8 - Prob. 30TCh. 8 - Prob. 31TCh. 8 - Prob. 32TCh. 8 - Prob. 33TCh. 8 - Prob. 34TCh. 8 - Prob. 35TCh. 8 - Prob. 36T
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