1. Evaluate (a) (3+j2)+(5-j) and (b) (-2+j6)-(3-j2) and show the results on an Argand diagram. [(a) 8+j (b)-5+j8]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Evaluate (a) (3+j2)+(5-j) and
(b) (-2+j6)-(3-j2) and show the
results on an Argand diagram.
[(a) 8+j (b)−5+j8]
2. Write down the complex conjugates of
(a) 3+ j4, (b) 2 - j.
[(a) 3- j4 (b) 2+ j]
3. If z=2+j and w=3- j evaluate
(a) z+w (b) w-z (c) 3z2w (d)
5z +2w (e) j (2w-3z) (f) 2jw - jz
[(a) 5 (b) 1-j2 (c)
(e) 5 (f) 3+ j4]
j5 (d) 16+j3
Transcribed Image Text:1. Evaluate (a) (3+j2)+(5-j) and (b) (-2+j6)-(3-j2) and show the results on an Argand diagram. [(a) 8+j (b)−5+j8] 2. Write down the complex conjugates of (a) 3+ j4, (b) 2 - j. [(a) 3- j4 (b) 2+ j] 3. If z=2+j and w=3- j evaluate (a) z+w (b) w-z (c) 3z2w (d) 5z +2w (e) j (2w-3z) (f) 2jw - jz [(a) 5 (b) 1-j2 (c) (e) 5 (f) 3+ j4] j5 (d) 16+j3
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