2. (a) Let==1-i. (i) (ii) Plot the position of on an Argand Diagram. == Express in the form = = ae¹, where a, b e R, giving the exact value of a ar the exact value of b. (b) Let w₁ = eix and w₂ = e(*), where x € R. (i) Find w₁+w₂ in the form e¹(c + id). cas ²2. (ii) Hence find Re(w₁ + w₂) in the form A cos (x-a), where A >0 and 0

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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2.
(a) Let==1-i.
(i)
(ii)
Plot the position of on an Argand Diagram.
Express in the form = = ae¹b, where a, b e R, giving the exact value of a and
the exact value of b.
(b) Let w₁ = eix and w₂ = e¹(x-7), where x = R.
(i) Find w₁+w₂ in the form e¹*(c +id).
(ii)
Hence find Re(w₁ + w₂) in the form A cos (x − a), where A >0 and 0 <a
T
Transcribed Image Text:2. (a) Let==1-i. (i) (ii) Plot the position of on an Argand Diagram. Express in the form = = ae¹b, where a, b e R, giving the exact value of a and the exact value of b. (b) Let w₁ = eix and w₂ = e¹(x-7), where x = R. (i) Find w₁+w₂ in the form e¹*(c +id). (ii) Hence find Re(w₁ + w₂) in the form A cos (x − a), where A >0 and 0 <a T
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