In: Math
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?)