$Q3(8$ points$)$

Consider the integral ${\displaystyle \underset{-2}{\overset{2}{}}}{\displaystyle \underset{-\sqrt[\phantom{2}]{4-y^2}}{\overset{0}{}}}\sqrt[\phantom{2}]{4-x^2-y^2}dxdy.$

Sketch the region $of$ integration. Please take note $of$ the scale. Make sure $to$ shade

the region you are talking about.

Evaluate this integral $by$ first changing $to$ polar coordinates.

$Q4(8$ points$)$

Consider the integral ${\displaystyle \underset{-2}{\overset{2}{}}}{\displaystyle \underset{-\sqrt[\phantom{2}]{4-y^2}}{\overset{0}{}}}\sqrt[\phantom{2}]{4-x^2-y^2}dxdy.$

Sketch the region $of$ integration. Please take note $of$ the scale. Make sure $to$ shade

the region you are talking about.

Evaluate this integral $by$ first changing $to$ polar coordinates.