G iven that x* + y = (2x" + 2y -x)* Find an equation of tangentline to the curve at point (0, 1/2). A particle moves along the curve y vT + x*, As it reaches the point (2, 3), b. the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the point changing at that instant?

G iven that x* + y = (2x" + 2y -x)* Find an equation of tangentline to the curve at point (0, 1/2). A particle moves along the curve y vT + x*, As it reaches the point (2, 3), b. the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the point changing at that instant?

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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Question

G iven that
x* + y* = (2x° + 2y² - x)*
Find an equation of tangentline to the curve at point (0, 1/2).
A particle moves along the curve y vT + x*. As it reaches the point (2, 3),
b.
the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate
of the point changing at that instant?

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