1) find the are of the region that lies inside of the curve r= 1+ cos...

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1) find the are of the region that lies inside of the curve r=1+ cos theta and outside the curve r=3 cos theta.

2) find the sum"

En=1 3^{1-n}:2^{n+2}

3) find
integration ( 2x^2 +1) e^x^2 dx

4) Does:

E n=12 ((2n)!/(n!)^2) converge or diverge ? justify your answer( what test?)

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