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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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