[br][br][b]Note the equation of the plane is z = some constant.  Change the equation of this yellow plane to z[br]= 2.  [/b][br][br][br][b]Then change it to z = 1. [/b][br][br][b]Then change it to z = 4.  [/b][br][br][b] [/b][br][br][b]1.How would you describe the intersection of[br]this plane and double-napped cone?  [/b][br][br][b] [/b][br][br]

[br][br][b]2.Change the equation of the plane to z=x+2  .  How[br]would you describe the intersection of this plane and double-napped cone[br]now?  And find the equation of the intersecting[br]curve.[/b][br][br]

[br][br][b]3.Change the equation of the plane to z=0.5x+2[br].  How would you describe the intersection[br]of this plane and double-napped cone now? [br]And find the equation of the intersecting curve.[/b][br][br]

[br][br][b]4.Change the equation of the plane to z=4x+2[br].  How would you describe the[br]intersection of this plane and double-napped cone now?  And find the equation of the intersecting[br]curve.[/b][br][br]