Hi, I got following problem. It might contain little language mistakes, since I translated it from danish.(adsbygoogle = window.adsbygoogle || []).push({});

Let P describe that plane in the space [tex]R^{3}[/tex], that is given by the equation [tex]6x+3y+z=6[/tex]

(i) State the coordinates for the planes crossing points with three coordinate axis, and sketch that triangle, which verticies are these three crossing points.

State moreover an equation for plane’s intersection line with xy-plane

(ii) Calculate triple integral

[tex]\iiint\limits_{0} y dV[/tex]

where K is that pyramid, that is restricted by the plane P and three coordinate planes.

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# Plane in the space

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