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    Geometric Inequality: Prove √(2x)+√(2y)+√(2z)≤√(x+y)+√(y+z)+√(x+z)

    Yes I have tried to square the experisions, but without success. I will try it again.
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    Geometric Inequality: Prove √(2x)+√(2y)+√(2z)≤√(x+y)+√(y+z)+√(x+z)

    Homework Statement Let a,b and c be lengths of sides in a triangle, show that √(a+b-c)+√(a-b+c)+√(-a+b+c)≤√a+√b+√c The Attempt at a Solution With Ravi-transformation the expressions can be written as √(2x)+√(2y)+√(2z)≤√(x+y)+√(y+z)+√(x+z). Im stuck with this inequality. Can´t find a way to...
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    Find Fourier Series of g(t): Simplification & Formula Analysis

    1. Find the Fourier series of : $$g(t)=\frac{t+4}{(t^2+8t+25)^2}$$ 2. I have been trying to write the function to match the formula $$\mathcal{F} [\frac{1}{1+t^2}] = \pi e^{-\mid(\omega)\mid}$$ 3. I have simplified the function to $$(t+4)(\frac{1}{9}(\frac{1}{1+\frac{(t+4)^2}{9}})^2)$$...
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