TEAM PROJECT. Conic Sections. (A) State the main steps of
Chapter 1, Problem 1.6(choose chapter or problem)
TEAM PROJECT. Conic Sections. (A) State the main steps of the present method of obtaining orthogonal trajectorics. (B) Find conditions under which the orthogonal trajectories of families of ellipses x 2 /a2 + y2/b2 = C are again conic sections. Illustrate your result graphically by sketches or by using your CAS. What happens if a~ O?If b~ O? (C) Investigate families of hyperbolas x 2 /a2 - y2/b2 = c in a similar fashion. (D) Can you find more complicated curves for which you get ODEs that you can solve? Give it a try.
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