Exercise 1. Sketch the following contours, as t varies: 1. 1(t) = 2 + 2e²¯it, for 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
Question
Exercise 1. Sketch the following contours, as t varies:
1. 1(t) = 2 + 2e²¯it, for 0 <t< 1;
it
0<t≤1,
2. (*) 2(t) =
−1+i 1<t< 2;
3. (*) 3(t) = i + e-it, for 0 <t<.
Transcribed Image Text:Exercise 1. Sketch the following contours, as t varies: 1. 1(t) = 2 + 2e²¯it, for 0 <t< 1; it 0<t≤1, 2. (*) 2(t) = −1+i 1<t< 2; 3. (*) 3(t) = i + e-it, for 0 <t<.
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