Given $f(x,y)=e^{-\frac{(x^2+y^2)}{2}},R$:$x^2+y^{2}225,x0$ use polar coordinates to set up and evaluate the double integral ${\displaystyle \underset{R}{\overset{\phantom{}}{}}}{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}f(x,y)dA.$

$(1-e^{-\frac{225}{2}})$

$(1-e^{-\frac{3\mathrm{.}375}{2}})$

$(1-e^{-\frac{225}{2}})$

$(1+e^{-\frac{3,375}{2}})$

$(1+e^{-\frac{225}{2}})$