Do on your own: 

	13.7 all core problems
	14.1 all core problems
	14.2 all core problems


Hand in: 

	13.7 #52
	
	(a) Find a parametric equation for the tangent line to the
	curve whose position vector is <t^2 - 1 , 2t , t^2 + 1>
	at the point (3,4,5).  (b) This curve lies in a plane:
	can you find what plane? (c) This curve also lies on the surface
	of a cone: can you find what cone? (d) Can you give a description 
	of the curve traced out as t varies over all real numbers,
	in terms of words in your geometric vocabulary (circle, line,
	ellipse, etc.)?  [Hint: what are the possible intersections of
	a cone and a plane?]