Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines tangent to the ellipse that pass by the point P(16,3). (a) The tangent line with the steepest slope is Y = (b) The tangent line with the flatest slope is y =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 23E
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Need solutions for (a) and (b) please
Consider the ellipse
9x² + 64y² = 576. Consider the point
P(16,3).
Find an equation for both lines tangent to the
ellipse that pass by the point P(16,3).
(a) The tangent line with the steepest slope is
Y
=
(b) The tangent line with the flatest slope is
y =
Transcribed Image Text:Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines tangent to the ellipse that pass by the point P(16,3). (a) The tangent line with the steepest slope is Y = (b) The tangent line with the flatest slope is y =
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