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Let R be the solution region for the system of inequalities { x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a) Find the intersection point (s) of the boundaries of R algebraically. b) Sketch the graph of the given inequalities in the same coordinate plane and shade region R. Label the point (s) obtained in (a).

Let R be the solution region for the system of inequalities { x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a) Find the intersection point (s) of the boundaries of R algebraically. b) Sketch the graph of the given inequalities in the same coordinate plane and shade region R. Label the point (s) obtained in (a).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3) Let R be the solution region for the system of inequalities x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a) Find the intersection point (s) of the boundaries of R algebraically. b) Sketch the graph of the given inequalities in the same coordinate plane and shade region R. Label the point (s) obtained in (a). 3
Transcribed Image Text:3) Let R be the solution region for the system of inequalities x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a) Find the intersection point (s) of the boundaries of R algebraically. b) Sketch the graph of the given inequalities in the same coordinate plane and shade region R. Label the point (s) obtained in (a). 3
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