(Solved): Calc III - Double Integrals. Thanks in advance! - Set up a double integral to find the area of the ...

Calc III - Double Integrals. Thanks in advance!

- Set up a double integral to find the area of the region bound between \( y=0, y=2 x \) and \( x=4 \), where \( d A=d y d x \). - Set up a double integral to find the area of the region bound between \( y=0, y=2 x \) and \( x=4 \), where \( d A=d x d y \). - Set up a double integral to find the volume of the solid whose height is determined by the equation \( f(x, y)=x y \) over the region bound between \( y=0, y=2 x \) and \( x=4 \). - Explain why the first double integral represents area whereas the third double integral represents volume.