To determine To sketch: At least two cycles of graph of the function y = 2 cot 3 x on a calculator. Explanation The given function is, y = 2 cot 3 x . Since the period for cot x is π , the period of y = 2 cot 3 x will be π 3 . Thus, one-fourth of the period will be, 1 4 ( π 3 ) = π 12 . Notice that the displacement is zero. That is, the curve starts repeating π 3 units to the right of 0. Since the period is π 3 , the one complete cycle ends at 0 + π 3 = π 3 . Thus, the two complete cycles ends at 0 + 2 ( π 3 ) = 2 π 3 . That is, two cycles occur between x = 0 and x = 2 π 3 . The important values for the first cycle are at 0 , 0 + π 12 , 0 + 2 ( π 12 ) , 0 + 3 ( π 12 ) and 0 + 4 ( π 12 ) . That is, at 0 , π 12 , π 6 , π 4 and π 3 . Substitute x = 0 in the equation y = 2 cot 3 x . y = 2 cot 3 x = 2 cot ( 3 × 0 ) = 2 cot ( 0 ) = Undefined That is, x = 0 is an asymptote of the curve y = 2 cot 3 x . Similarly, obtain the values of the function at π 12 , π 6 , π 4 and π 3

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 10.4, Problem 16E

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To sketch: At least two cycles of graph of the function y=2cot3x on a calculator.

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Chapter 10.4, Problem 15E

Chapter 10.4, Problem 17E

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Chapter 10 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

Ch. 10.1 - For the graph of y = −6 sin x, set up a table of...Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - In Exercises 3–6, complete the following table for...Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E

Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - In Exercises 7–22, give the amplitude and sketch...Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - In Exercises 27–32, solve the given problems. 32....Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.2 - Prob. 1PE Ch. 10.2 - Prob. 2PE Ch. 10.2 - Prob. 3PE Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - In Exercises 3–22, find the amplitude and period...Ch. 10.2 - Prob. 5E Ch. 10.2 - In Exercises 3–22, find the amplitude and period...Ch. 10.2 - 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