(c) The graph of the curve has vertical tangent lines. Find the x-coordinate of each of tangent lines. Show the work that leads to your answer.

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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5. Consider the curve given by 6+x'y=xy
dy y-3x?y
dx x -2xy
(a) Show that
(b) Find every point(s) on the graph of the curve that has an x-coordinate of 1, then write an equation
for the tangent line at every/each of these point(s).
(c) The graph of the curve has vertical tangent lines. Find the x-coordinate of each of these vertical
tangent lines. Show the work that leads to your answer.
6. Find the two points where the curve x + xy + y = 7 crosses the x-axis, and show that the tangents to
the curve at these points are parallel. What is the common slope of these tangents?
Transcribed Image Text:5. Consider the curve given by 6+x'y=xy dy y-3x?y dx x -2xy (a) Show that (b) Find every point(s) on the graph of the curve that has an x-coordinate of 1, then write an equation for the tangent line at every/each of these point(s). (c) The graph of the curve has vertical tangent lines. Find the x-coordinate of each of these vertical tangent lines. Show the work that leads to your answer. 6. Find the two points where the curve x + xy + y = 7 crosses the x-axis, and show that the tangents to the curve at these points are parallel. What is the common slope of these tangents?
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