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ENG2005 - Advanced engineering mathematics - MUM S1 2025

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Q5a

For large , the solution approaches

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Q5a

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The Laplace transform of the left side, where X(s) is the Laplace Transform of x(t), is:

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The Laplace transform of is

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The Laplace transform of is valid for

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If f(x) is periodic, find .

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Answer by: yes or no.

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Consider the periodic function 

If this has Fourier representation

what is the value of ?

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Consider the periodic function

What is its period ?

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The trigonometric sum 

is shown in which of these graphs?  (Use MATLAB to plot this sum.)

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