Fourier series and heat equation problems

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malee006
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Any one Solution will be appreciated , just solve as soon as possible!
1) Fourier Series
2) Heat Equation
 
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  • Printed homework problem 6: Let f(x) = 4 - x^2 for 0 < x < 2, with parts (a) through (e) asking for even and odd period 4 extensions, Fourier cosine and sine series, and sketches.
    problem 6.jpg
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  • Textbook problem 8 with parts (a) to (c): steady-state solution of a 1D heat equation 20u_xx = u_t with boundary conditions, and a nonhomogeneous wave equation 4u_xx + (9 - x^2) = u_tt on 0 < x < 3 with fixed ends.
    problem-8.jpg
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If you are waiting for someone to do your homework for you, you have come to the wrong site.

Please show us what you have done, or at least make an effort to show that you have even read the problems.
 
Do you know how to take a Fourier transform?

Do you understand heat equations?

Frankly I don't think anyone can help you until we understand what you're having trouble with.