Question

Setup the necessary intervals to find the average value of the function f(x,y)=x^2+4y^2-4 over the ellipse  4x^2+y^2=4. Use technology to evaluate the integral. Give an exact answer. (not decimal)

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Solution:Given that i The given intercall to tind the average value ct The function is, $(244) zat 4424 2 over the ellipse 4. 4x+y=4 lArea (A) = 211 2 Fang SJEDA where, ellipse ؟ a fairy JJ C24 47²4) DA put -54-4x² sy L 54-42² CENLD fanya j Shax=4) 54-47 to ş

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