Q1. Which of the following is an even function of t ? t^{2} t^{2}4t sin(2t)+3t t^{3}+6 Q2. A “periodic function” is given by a function which has a period T=2Π satisfies f(t+T)=f(t) satisfies f(t+T)=  f(t) has a period T=2Π Q3. Given the following periodic function, f(t). The coefficient a_{0} of the continuous Fourier series associated with the above given function f(t) can be computed as 8/9 16/9 24/9** 32/9 Q4. For the given periodic function . The coefficient b_{1} of the continuous Fourier series associated with the given function f(t) can be computed as 75.6800 7.5680 6.8968 0.7468 Q5. For the given periodic function
with a period T=6 . The Fourier coefficient a_{1} can be computed as 9.2642 8.1275 0.9119 0.5116 Q6. For the given periodic function
with a period T=6 as shown in Problem 5. The complex form of the Fourier series can be expressed as . The complex coefficient can be expressed as 0.4560 + 0.3734i 0.4560  0.3734i 0.4560 + 0.3734i 0.3734  0.4560i

AUDIENCE  AWARDS  PEOPLE  TRACKS  DISSEMINATION  PUBLICATIONS 

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 336205350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624, 0836981, 0836916, 0836805, 1322586. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other sponsors include Maple, MathCAD, USF, FAMU and MSOE. Based on a work at http://mathforcollege.com/nm. Holistic Numerical Methods licensed under a Creative Commons AttributionNonCommercialNoDerivs 3.0 Unported License. 
