Consider the curve given by y2+xy=x3-(2y/3)+(3x2/4) a) Find all the points (x,y) on this curve whose x-coordinate is x=0.  b) Among all the points you found in part(a) find the one that satisfies dy/dx = (9x/4) - (3y/2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Consider the curve given by y2+xy=x3-(2y/3)+(3x2/4)

a) Find all the points (x,y) on this curve whose x-coordinate is x=0. 

b) Among all the points you found in part(a) find the one that satisfies

dy/dx = (9x/4) - (3y/2)

 

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