Question

Find the volume of the region in the first octant bounded by the coordinate planes , the plane y+z=3, and the cylinder x=9-y²

Answer 1

    Given:

Question Details

Find the volume of the region in the first octant bounded by the coordinate planes , the plane y+z=3, and the cylinder x=9-y²

  

^{The limits are --- . We can next write the    limits as   .}

^{The limits are then ---    . The volume is then found as the triple integral :}

   

  

  

   

  

   

   

   

   

   ; or , we have :

.