Consider the equation 2׳ + 2y³ – 9xy = 0. 1. Verify that (1, 2) and (2, 1) are on the graph. 2. Find the tangent line l₁ to (1, 2) and the tangent line l2 to (2, 1). 3. Do the lines (1 and l2 intersect?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Consider the equation 2׳ + 2y³ – 9xy = 0.
1. Verify that (1, 2) and (2, 1) are on the graph.
2. Find the tangent line l₁ to (1, 2) and the tangent line l2 to (2, 1).
3. Do the lines (1 and l2 intersect?
Transcribed Image Text:Consider the equation 2׳ + 2y³ – 9xy = 0. 1. Verify that (1, 2) and (2, 1) are on the graph. 2. Find the tangent line l₁ to (1, 2) and the tangent line l2 to (2, 1). 3. Do the lines (1 and l2 intersect?
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