Consider the curve given by y = 2 + xy. dy (a) Show that dx 2у - х (b) Find all points (x, y) on the curve where the line tangent to the curve has slope . (c) Show that there are no points (x, y) on the curve where the line tangent to the curve is horizontał. (d) Let x and y be functions of time t that are related by the equation y? = 2 + xy. At time i = 5, the dy : 6. Find the value of at time i = 5. dt dx dt value of y is 3 and

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 curve given by y = 2 + xy.
dy
(a) Show that
dx
2у - х
(b) Find all points (x, y) on the curve where the line tangent to the curve has slope .
(c) Show that there are no points (x, y) on the curve where the line tangent to the curve is horizontał.
(d) Let x and y be functions of time t that are related by the equation y? = 2 + xy. At time i = 5, the
dy
: 6. Find the value of at time i = 5.
dt
dx
dt
value of y is 3 and
Transcribed Image Text:Consider the curve given by y = 2 + xy. dy (a) Show that dx 2у - х (b) Find all points (x, y) on the curve where the line tangent to the curve has slope . (c) Show that there are no points (x, y) on the curve where the line tangent to the curve is horizontał. (d) Let x and y be functions of time t that are related by the equation y? = 2 + xy. At time i = 5, the dy : 6. Find the value of at time i = 5. dt dx dt value of y is 3 and
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Consider the curve given by y2=2+xy

d.) Let x and y be functions of time t that are related by the equation y2=2+xy. At time t=5. the value of y is 3 and dy/dt=6. Find the value of dx/dt at time t=5.

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