Let fGt) =1 on(o,½) and fat)=0 on [/a, 4nJ, with fCttaP)-fCt), Finid the cosine series for fCt) Cextend fCt) even functions.) as

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Q: (d) Vn2 +4 (n + 19)° 8 n=1 (e) COS n + 3n 4n n=1 IM:

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Q: D. Find Az) = u(x, y) + iv(x, y) with u as given. Check for analyticity. (a) u= x/(x² + y³)

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Q: (c) Prove that x - 11 |x| + 11 |x² + 36| 36 for all real r.

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Q: Find differential equation of ydx+(x+x^3y^2)dy COMPLETE SOLUTION PLEASE

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