Use the formula in Exercise 36 to find the curvature.
38. x = a cos ωt, y = b sin ωt
36. Use Theorem 10 to show that the curvature of a plane parametric curve x = f (t), y = g(t) is
where the dots indicate derivatives with respect to t.
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Essential Calculus: Early Transcendentals
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,