Section 10.1 Space Curves (Cool Parameterizations!)

• Problem #28 using DPGraph.  ((z = x*y, x^2 + y^2 = 4))  This shows both surfaces.
• Problem #28 using DPGraph (space curve intersection).  (rectangular(2*cos(u), 2*sin(u), 4*cos(u)*sin(u))
• Parameterizing 3-D curves in DPGraph is somewhat tricky.  We must use the parameter u.
• I've also created an equivalent Derive5 file here for Problem #28 (Derive5).
• Problem #29 using DPGraph.  ((z = r, z = 1 + y))  This shows both surfaces.
• Problem #30 using DPGraph.  ((y = x^2, z = 4*x^2 + y^2))  This shows both surfaces.
• Problem #30 using DPGraph (space curve intersection).  (rectangular(u, u^2, 4*u^2 + u^4)
• Problem #32 using DPGraph.  Instead, I created a solid!  (y >= x^2 & z >= 0 & z <= 0.5*sqrt(16 - x^2 - 4*y^2))
• Here is the note page for Problem #32 using DPGraph.  It talks about creating 3-D solids.
  
• Problem #32 using DPGraph (space curve intersection).  (rectangular(u, u^2, 0.5*sqrt(16 - u^2 - 4*u^4))