7. The function y = f(x) is defined implicitly by the equation 3x3 + 2xy = x² = y² +2 - (a) Verify that the point (1, 2) is on the curve. (b) Find the slope of the graph at the point (1, 2). 3

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.
Question
7. The function y = f(x) is defined implicitly by the
equation
3x3 + 2xy = x² = y² +2
-
(a) Verify that the point (1, 2) is on the curve.
(b) Find the slope of the graph at the point (1, 2).
3
Transcribed Image Text:7. The function y = f(x) is defined implicitly by the equation 3x3 + 2xy = x² = y² +2 - (a) Verify that the point (1, 2) is on the curve. (b) Find the slope of the graph at the point (1, 2). 3
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