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(a) The curve with equation y2 = 5x4 - x2 is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at the point (-1, 2).

(a) The curve with equation y2 = 5x4 - x2 is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at the point (-1, 2).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 2ECP
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(a) The curve with equation y2 = 5x4x2 is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at the point (-1, 2). y = (b) Illustrate part (a) by graphing the curve and the tangent line on a common screen.
Transcribed Image Text:(a) The curve with equation y2 = 5x4x2 is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at the point (-1, 2). y = (b) Illustrate part (a) by graphing the curve and the tangent line on a common screen.
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