Let D be the region x ≥ 0, y ≥ 0, z ≥ 0, x + (y/2) + (z/3) ≤ 1. (a) Is this region a domain? (b) Is this region simply connected? (c) If F = 2xi + yj + zk, find the surface integral of the normal component of F over the boundary of this region, oriented by selecting the outward normal.
Let D be the region x ≥ 0, y ≥ 0, z ≥ 0, x + (y/2) + (z/3) ≤ 1. (a) Is this region a domain? (b) Is this region simply connected? (c) If F = 2xi + yj + zk, find the surface integral of the normal component of F over the boundary of this region, oriented by selecting the outward normal.
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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Let D be the region x ≥ 0, y ≥ 0, z ≥ 0, x + (y/2) + (z/3) ≤ 1.
(a) Is this region a domain?
(b) Is this region simply connected?
(c) If F = 2xi + yj + zk, find the surface integral of the normal component of F over the boundary of this region, oriented by selecting the outward normal.
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