Holistic Numerical Methods

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MULTIPLE CHOICE TEST

(All Tests)

CONTINUOUS FOURIER TRANSFORMS

(More on Continuous Fourier Transforms)

FAST FOURIER TRANSFORMS

(More on Fast Fourier Transforms)
 

Pick the most appropriate answer.

Q1.  Which of the following is an even function of t ?

t2

t2-4t

sin(2t)+3t

t3+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 a0 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 b1 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 a1 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

 

 

 

Multiple choice questions on other topics

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. 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# Creative Commons License0126793, 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 Attribution-NonCommercial-NoDerivs 3.0 Unported License.

  

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