Questions: t + 3it if 0≤t≤2 1. Consider the curve z(t) = 2t-2-it+8i if 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 18E
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Questions:
t + 3it
if 0≤t≤2
1. Consider the curve z(t) =
2t-2-it+8i if 2<t≤3
(a) Sketch this curve in the complex plane.
(b) Is this a simple curve? Justify your answer.
(c) Is this a closed curve? Justify your answer.
(d) Is this an arc? Justify your answer.
Transcribed Image Text:Questions: t + 3it if 0≤t≤2 1. Consider the curve z(t) = 2t-2-it+8i if 2<t≤3 (a) Sketch this curve in the complex plane. (b) Is this a simple curve? Justify your answer. (c) Is this a closed curve? Justify your answer. (d) Is this an arc? Justify your answer.
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