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need help with the intersection points with initial guess (fsolve)

need help with the intersection points with initial guess (fsolve)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 6DE
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need help with the intersection points with initial guess (fsolve)

Q4 Intersection points of two ellipses Consider two ellipses as given by the following two equations: x² + 3y² = 1 (x/3 + 1/3)? + 2(y – 1/4)2 = 1 Plot the parametric curves for both ellipses on the x y plane. Mark ALL intersections points and display them on the tractories of both ellipses. Display also the intersections where both trajectories intersect. To this end, you need to first derive the parametric equations for these two ellipses, and then write a code that could AUTOMATICALLY solve for ALL intersection points. You need to think carefully to design the code. The output from your code should look like the following sample result. two parametric curves of ellipses 10 0.8 0.6 0.4 0.2 0.0 -0.2 02 -0.4 intersect 0 intersect 1 -0.6
Transcribed Image Text:Q4 Intersection points of two ellipses Consider two ellipses as given by the following two equations: x² + 3y² = 1 (x/3 + 1/3)? + 2(y – 1/4)2 = 1 Plot the parametric curves for both ellipses on the x y plane. Mark ALL intersections points and display them on the tractories of both ellipses. Display also the intersections where both trajectories intersect. To this end, you need to first derive the parametric equations for these two ellipses, and then write a code that could AUTOMATICALLY solve for ALL intersection points. You need to think carefully to design the code. The output from your code should look like the following sample result. two parametric curves of ellipses 10 0.8 0.6 0.4 0.2 0.0 -0.2 02 -0.4 intersect 0 intersect 1 -0.6
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