To determine The fundamental periods of the functions cos n x , sin n x , cos 2 π x k , sin 2 π x k , cos 2 π n x k and sin 2 π n x k . Explanation Result used: The fundamental period is the smallest positive period. That is, the smallest p such that f ( x + p ) = f ( x ) . The period of the functions of the form f ( x ) = a cos ( b x ± c ) ± d or f ( x ) = a sin ( b x ± c ) ± d is 2 π | b | . Calculation: Calculate the period of cos n x and sin n x as shown below. p = 2 π n That is, the period is 2 π n . Similarly, obtain the period of cos 2 π x k and sin 2 π x k as follows. p = 2 π 2 π k = k That is, the period of cos 2 π x k and sin 2 π x k is k

10th Edition

ISBN: 9781119664697

Author: Kreyszig

Publisher: WILEY

See similar textbooks

Videos

Question

100%

Chapter 11.1, Problem 2P

To determine

The fundamental periods of the functions cosnx,sinnx,cos2πxk,sin2πxk,cos2πnxk and sin2πnxk.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.1, Problem 1P

Chapter 11.1, Problem 3P

Students have asked these similar questions

Can you please explain how to go about completing this table in simplest terms please. Thank you fx f(-1/3x) (2,4) (-3,6)

A population growing with harvesting will behave according to the differential equation dy dt = 0.06y(1- У с 1800 y(0) = yo Find the value for c for which there will be only one equilibrium solution to the differential equation C = If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.

microsoft excel iclude fomulas

Chapter 11 Solutions

ADVANCED ENGINEERING MATHEMATICS

Ch. 11.1 - Prob. 1P Ch. 11.1 - PERIOD, FUNDAMENTAL PERIOD The fundamental period...Ch. 11.1 - PERIOD, FUNDAMENTAL PERIOD The fundamental period...Ch. 11.1 - PERIOD, FUNDAMENTAL PERIOD The fundamental period...Ch. 11.1 - PERIOD, FUNDAMENTAL PERIOD The fundamental period...Ch. 11.1 - GRAPHS OF 2π–PERIODIC FUNCTIONS Sketch or graph...Ch. 11.1 - GRAPHS OF 2π–PERIODIC FUNCTIONS Sketch or graph...Ch. 11.1 - GRAPHS OF 2π–PERIODIC FUNCTIONS Sketch or graph...Ch. 11.1 - GRAPHS OF 2π–PERIODIC FUNCTIONS Sketch or graph...Ch. 11.1 - GRAPHS OF 2π–PERIODIC FUNCTIONS Sketch or graph...

Ch. 11.1 - Prob. 11P Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - FOURIER SERIES Find the Fourier series of the...Ch. 11.1 - Prob. 23P Ch. 11.2 - EVEN AND ODD FUNCTIONS Are the following functions...Ch. 11.2 - EVEN AND ODD FUNCTIONS Are the following functions...Ch. 11.2 - EVEN AND ODD FUNCTIONS Are the following functions...Ch. 11.2 - Prob. 4P Ch. 11.2 - EVEN AND ODD FUNCTIONS Are the following functions...Ch. 11.2 - Prob. 6P Ch. 11.2 - EVEN AND ODD FUNCTIONS Are the following functions...Ch. 11.2 - Prob. 8P Ch. 11.2 - Prob. 9P Ch. 11.2 - Prob. 10P Ch. 11.2 - Prob. 11P Ch. 11.2 - Prob. 12P Ch. 11.2 - Prob. 13P Ch. 11.2 - Prob. 14P Ch. 11.2 - Prob. 15P Ch. 11.2 - Prob. 16P Ch. 11.2 - Prob. 17P Ch. 11.2 - Prob. 18P Ch. 11.2 - Prob. 19P Ch. 11.2 - Prob. 20P Ch. 11.2 - Prob. 22P Ch. 11.2 - Prob. 23P Ch. 11.2 - Prob. 24P Ch. 11.2 - Prob. 25P Ch. 11.2 - Prob. 26P Ch. 11.2 - Prob. 27P Ch. 11.2 - Prob. 28P Ch. 11.2 - Prob. 29P Ch. 11.2 - Prob. 30P Ch. 11.3 - Prob. 1P Ch. 11.3 - Prob. 2P Ch. 11.3 - Prob. 3P Ch. 11.3 - Prob. 4P Ch. 11.3 - Prob. 5P Ch. 11.3 - Prob. 6P Ch. 11.3 - Prob. 7P Ch. 11.3 - Prob. 8P Ch. 11.3 - Prob. 9P Ch. 11.3 - Prob. 10P Ch. 11.3 - Prob. 11P Ch. 11.3 - Prob. 13P Ch. 11.3 - Prob. 14P Ch. 11.3 - Prob. 15P Ch. 11.3 - Prob. 16P Ch. 11.3 - Prob. 17P Ch. 11.3 - Prob. 18P Ch. 11.3 - Prob. 19P Ch. 11.4 - Prob. 2P Ch. 11.4 - Prob. 3P Ch. 11.4 - Prob. 4P Ch. 11.4 - Prob. 5P Ch. 11.4 - Prob. 6P Ch. 11.4 - Prob. 7P Ch. 11.4 - Prob. 8P Ch. 11.4 - Prob. 9P Ch. 11.4 - Prob. 11P Ch. 11.4 - Prob. 12P Ch. 11.4 - Prob. 13P Ch. 11.4 - Prob. 14P Ch. 11.4 - Prob. 15P Ch. 11.5 - Prob. 1P Ch. 11.5 - Prob. 2P Ch. 11.5 - Prob. 3P Ch. 11.5 - Prob. 4P Ch. 11.5 - Prob. 5P Ch. 11.5 - Prob. 6P Ch. 11.5 - Prob. 7P Ch. 11.5 - Prob. 8P Ch. 11.5 - Prob. 9P Ch. 11.5 - Prob. 10P Ch. 11.5 - Prob. 11P Ch. 11.5 - Prob. 12P Ch. 11.5 - Prob. 13P Ch. 11.6 - Prob. 1P Ch. 11.6 - Prob. 2P Ch. 11.6 - Prob. 3P Ch. 11.6 - Prob. 4P Ch. 11.6 - Prob. 5P Ch. 11.6 - Prob. 6P Ch. 11.6 - Prob. 7P Ch. 11.7 - Prob. 1P Ch. 11.7 - Prob. 2P Ch. 11.7 - Prob. 3P Ch. 11.7 - Prob. 4P Ch. 11.7 - Prob. 5P Ch. 11.7 - Prob. 6P Ch. 11.7 - Prob. 7P Ch. 11.7 - Prob. 8P Ch. 11.7 - Prob. 9P Ch. 11.7 - Prob. 10P Ch. 11.7 - Prob. 11P Ch. 11.7 - Prob. 12P Ch. 11.7 - Prob. 16P Ch. 11.7 - Prob. 17P Ch. 11.7 - Prob. 18P Ch. 11.7 - Prob. 19P Ch. 11.7 - Prob. 20P Ch. 11.8 - Prob. 1P Ch. 11.8 - Prob. 2P Ch. 11.8 - Prob. 3P Ch. 11.8 - Prob. 4P Ch. 11.8 - Prob. 5P Ch. 11.8 - Prob. 6P Ch. 11.8 - Prob. 7P Ch. 11.8 - Prob. 8P Ch. 11.8 - Prob. 9P Ch. 11.8 - Prob. 10P Ch. 11.8 - Prob. 11P Ch. 11.8 - Prob. 12P Ch. 11.8 - Prob. 13P Ch. 11.8 - Prob. 14P Ch. 11.9 - Prob. 1P Ch. 11.9 - Prob. 2P Ch. 11.9 - Prob. 3P Ch. 11.9 - Prob. 4P Ch. 11.9 - Prob. 5P Ch. 11.9 - Prob. 6P Ch. 11.9 - Prob. 7P Ch. 11.9 - Prob. 8P Ch. 11.9 - Prob. 9P Ch. 11.9 - Prob. 10P Ch. 11.9 - Prob. 11P Ch. 11.9 - Prob. 12P Ch. 11.9 - Prob. 13P Ch. 11.9 - Prob. 14P Ch. 11.9 - Prob. 15P Ch. 11.9 - Prob. 17P Ch. 11.9 - Prob. 18P Ch. 11.9 - Prob. 19P Ch. 11.9 - Prob. 20P Ch. 11.9 - Prob. 21P Ch. 11.9 - Prob. 22P Ch. 11.9 - Prob. 23P Ch. 11.9 - Prob. 24P Ch. 11 - Prob. 1RQ Ch. 11 - Prob. 2RQ Ch. 11 - Prob. 3RQ Ch. 11 - Prob. 4RQ Ch. 11 - Prob. 5RQ Ch. 11 - Prob. 6RQ Ch. 11 - Prob. 7RQ Ch. 11 - Prob. 8RQ Ch. 11 - Prob. 9RQ Ch. 11 - Prob. 10RQ Ch. 11 - Prob. 11RQ Ch. 11 - Prob. 12RQ Ch. 11 - Prob. 13RQ Ch. 11 - Prob. 14RQ Ch. 11 - Prob. 15RQ Ch. 11 - Prob. 16RQ Ch. 11 - Prob. 17RQ Ch. 11 - Prob. 18RQ Ch. 11 - Prob. 19RQ Ch. 11 - Prob. 20RQ Ch. 11 - Prob. 21RQ Ch. 11 - Prob. 22RQ Ch. 11 - Prob. 23RQ Ch. 11 - Prob. 24RQ Ch. 11 - Prob. 25RQ Ch. 11 - Prob. 26RQ Ch. 11 - Prob. 27RQ Ch. 11 - Prob. 28RQ Ch. 11 - Prob. 29RQ Ch. 11 - Prob. 30RQ

Knowledge Booster

$Advanced Math$

Learn more about

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