Vector field F is given by F(r) = (x, y, z + 1) and surface A is the locus of points satisfying z + x² + y² +2√x² + y² = 8 for z ≥ 0. (Note that the positive square root appears in this expression.) (a) Sketch by hand (not by computer) surface A.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Vector field F is given by
F(r) = (x, y, z+1)
and surface A is the locus of points satisfying z + x² + y² + 2√√√x² + y² = 8 for z ≥ 0. (Note that the
positive square root appears in this expression.)
(a) Sketch by hand (not by computer) surface A.
Transcribed Image Text:Vector field F is given by F(r) = (x, y, z+1) and surface A is the locus of points satisfying z + x² + y² + 2√√√x² + y² = 8 for z ≥ 0. (Note that the positive square root appears in this expression.) (a) Sketch by hand (not by computer) surface A.
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