(Steps Shown) Here's a plot of the part of the surface z=e^-(x^2+(y / 2)^2) above the everything inside and on the ellipse x^2+(y / 2)^2=1 in the xy -plane: By
Question: Here's a plot of the part of the surface
\[z=\mathrm{e}^{-\left(x^{2}+(y / 2)^{2}\right)}\]above the everything inside and on the ellipse
\[x^{2}+(y / 2)^{2}=1\]in the \(\mathrm{xy}\) -plane:
By hand calculation, measure the volume,
\[\iint_{R} e^{-\left(x^{2}+(y / 2)^{2}\right)} d x d y\]of the solid whose top skin is the surface plotted above, and whose base is everything on the xy plane directly below this surface, by transforming to more favorable paper.
Remember that \(\operatorname{Sin}[\mathrm{t}]^{2}+\operatorname{Cos}[\mathrm{t}]^{2}=1\)
Deliverable: Word Document 