Find the point(s) on the ellipse x = 3 cos t, y = sin t, 0≤t≤2π closest to the point [(−4) (square root of 2) / (3)], [0]. (Hint: Minimize the square of the distance as a function of t.) The point(s) on the ellipse closest to the given point is(are): ?? (Type ordered pairs. Use a comma to separate answers as needed.)
Find the point(s) on the ellipse x = 3 cos t, y = sin t, 0≤t≤2π closest to the point [(−4) (square root of 2) / (3)], [0]. (Hint: Minimize the square of the distance as a function of t.) The point(s) on the ellipse closest to the given point is(are): ?? (Type ordered pairs. Use a comma to separate answers as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 58E
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Find the point(s) on the ellipse x = 3 cos t, y = sin t, 0≤t≤2π closest to the point [(−4) (square root of 2) / (3)], [0].
(Hint: Minimize the square of the distance as a function of t.)
The point(s) on the ellipse closest to the given point is(are): ??
(Type ordered pairs. Use a comma to separate answers as needed.)
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