Q6. Given M = {(z,9), 1< +y² < 4} C R°. (a) Determine dM and aM. (b) Is M connected? Pathwise connected? Justify. (c) Let N = {(z,y),7+y² < 4}. Is N= M? prove your answer.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter4: Quadrilaterals
Section4.4: The Trapezoid
Problem 34E
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Q6. Given M = {(a, 1), 1< ² + y² < 4} C R°.
(a) Determine dM and aM.
(b) Is M connected? Pathwise connected? Justify.
(c) Let N = {(r, y).,1² + y? < 4}.
Is N = M? prove your answer.
Transcribed Image Text:Q6. Given M = {(a, 1), 1< ² + y² < 4} C R°. (a) Determine dM and aM. (b) Is M connected? Pathwise connected? Justify. (c) Let N = {(r, y).,1² + y? < 4}. Is N = M? prove your answer.
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