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9) Describe the natural domain D Of the Function using standard set notation. b) Mane a Sketch oP the domain in the Xy- plane with the oritintercepts labeled and the (aboundary Covrectly drawn: solid if points on the bountary Ore part of the donmain or dotted' îf they are not. Shade points in the =f(x4)=V 9xLt y? q domain.

9) Describe the natural domain D Of the Function using standard set notation. b) Mane a Sketch oP the domain in the Xy- plane with the oritintercepts labeled and the (aboundary Covrectly drawn: solid if points on the bountary Ore part of the donmain or dotted' îf they are not. Shade points in the =f(x4)=V 9xLt y? q domain.

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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8. a) Describe the natural domain \( D \) of the function \( z = f(x, y) = \sqrt{9x^2 + y^2 - 9} \) using standard set notation. b) Make a sketch of the domain in the \( xy \)-plane with the intercepts labeled and the boundary correctly drawn: solid if points on the boundary are part of the domain or dotted if they are not. Shade points in the domain.
Transcribed Image Text:8. a) Describe the natural domain \( D \) of the function \( z = f(x, y) = \sqrt{9x^2 + y^2 - 9} \) using standard set notation. b) Make a sketch of the domain in the \( xy \)-plane with the intercepts labeled and the boundary correctly drawn: solid if points on the boundary are part of the domain or dotted if they are not. Shade points in the domain.
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