Explanation Given Information: The provided function is y = 4 sin ( 5 2 x ) . Formula Used: For a given function y = A s c t ( B x ) , where s c t = sin / cos / tan Here, A = Amplitude and Period = 360 B Calculation: Consider the provided function: y = 4 sin ( 5 2 x ) Now, compare the provided function y = 4 sin ( 5 2 x ) with the function y = A s c t ( B x ) . So, it can be concluded that, Amplitude = 3 And, period = 360 5 2 = 360 ⋅ 2 5 = 144 Thus, the amplitude is 4 and period is 144 ° in the given function y = 4 sin ( 5 2 x ) . Graph: Consider the provided function: y = 4 sin ( 5 2 x ) Now, obtain the values of y by assuming corresponding values of x as: Substitute x = 0 in the function y = 4 sin ( 5 2 x ) . y = 4 sin ( 5 2 ⋅ 0 ) = 4 sin ( 0 ) = 0 Substitute x = 15 in the function y = 4 sin ( 5 2 x ) . y = 4 sin ( 5 2 ⋅ 15 ) = 4 sin ( 37.5 ) = 4 ⋅ 0.6087 = 2.4350 Substitute x = 30 in the function y = 4 sin ( 5 2 x ) . y = 4 sin ( 5 2 ⋅ 30 ) = 4 sin ( 75 ) = 4 ⋅ 0.9659 = 3

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 14.2, Problem 11E

To determine

To calculate: The period and amplitude of the given expression y=4sin(52x) and graph the provided function.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.2, Problem 10E

Chapter 14.2, Problem 12E

Students have asked these similar questions

The areas of the regions bounded by the graph of the function f and the x-axis are labeled in the figure below. Let the function g be C defined by the equation g(x) = [* f(t)dt. What is the maximum value of the function g on the closed interval [-7, 8]? 17 y Graph of f 00 8 76 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3-2-1 -2 702 4 1 21 3 4 568 -4 -5 --6 -7 -8 x 5 6 7 8 9 10 17

No chatgpt pls will upvote Already got wrong chatgpt answer

pls help

Chapter 14 Solutions

Elementary Technical Mathematics

Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5E Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9E Ch. 14.1 - Find each value rounded to four significant...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The period and amplitude of the given expression y = 4 sin ( 5 2 x ) and graph the provided function.

Solution Summary: The author calculates the period and amplitude of the given expression y=4mathrmsin(52x).

Videos

To calculate: The period and amplitude of the given expression y=4sin(52x) and graph the provided function.

Want to see the full answer?

Chapter 14 Solutions