onsider the ellipse E in the xy-plane defined by the equation ax2 + y2 = 1 where a is positive. (1) Find a parametrization r(t) of E (2) Find all the points where r(t) is orthogonal to r'(t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the ellipse E in the xy-plane defined by the equation ax2 + y2 = 1 where a is positive.

(1) Find a parametrization r(t) of E

(2) Find all the points where r(t) is orthogonal to r'(t). 

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