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The Fourier series for the Odd Square Wave with period T and amplitude A is: fosd square() = A · Eo -sin 2a2n+1)* 1. Write out the first three terms of this series. 2. Use this series to find the Fourier series for an even triangle wave with period T. Don't worry especially about the amplitude this wave; let it be whatever seems most natural. Your answer must be expressed in sines, cosines, or both, with zero explic phase shift. 3. Sketch the exact triangle wave. Sketch roughly how the series would look if it included only the first few terms, and describe briefly. Write your response in such a way that it shows evidence that you have actually seen this series plotted with a computer.

The Fourier series for the Odd Square Wave with period T and amplitude A is: fosd square() = A · Eo -sin 2a2n+1)* 1. Write out the first three terms of this series. 2. Use this series to find the Fourier series for an even triangle wave with period T. Don't worry especially about the amplitude this wave; let it be whatever seems most natural. Your answer must be expressed in sines, cosines, or both, with zero explic phase shift. 3. Sketch the exact triangle wave. Sketch roughly how the series would look if it included only the first few terms, and describe briefly. Write your response in such a way that it shows evidence that you have actually seen this series plotted with a computer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The Fourier series for the Odd Square Wave with period T and amplitude A is: 2a(2n+1) fodd square(1) = A E Sin 1. Write out the first three terms of this series. 2. Use this series to find the Fourier series for an even triangle wave with period T. Don't worry especially about the amplitude of this wave; let it be whatever seems most natural. Your answer must be expressed in sines, cosines, or both, with zero explicit phase shift. 3. Sketch the exact triangle wave. Sketch roughly how the series would look if it included only the first few terms, and describe it briefly. Write your response in such a way that it shows evidence that you have actually seen this series plotted with a computer.
Transcribed Image Text:The Fourier series for the Odd Square Wave with period T and amplitude A is: 2a(2n+1) fodd square(1) = A E Sin 1. Write out the first three terms of this series. 2. Use this series to find the Fourier series for an even triangle wave with period T. Don't worry especially about the amplitude of this wave; let it be whatever seems most natural. Your answer must be expressed in sines, cosines, or both, with zero explicit phase shift. 3. Sketch the exact triangle wave. Sketch roughly how the series would look if it included only the first few terms, and describe it briefly. Write your response in such a way that it shows evidence that you have actually seen this series plotted with a computer.
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