[15 points] Express each of the following numbers in Cartesian form (a + jb) without using a calculator. (You can use a calculator to check your work, but you should hand in a solution that shows you can solve this by hand. Numbers such as 9/17 and e² are acceptable without being converted to decimal form.) (a) z = (2+3j) – (4 - 2j) (b) z=ej/3 +e-j/3 +€³2π (c) z (d) z = ¹+2 (e) z = ji = 3³/3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 1E
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[15 points] Express each of the following numbers in Cartesian form (a + jb) without using
a calculator.
(You can use a calculator to check your work, but you should hand in a solution that shows
you can solve this by hand. Numbers such as 9/17 and e² are acceptable without being
converted to decimal form.)
(a) z = (2+3j) – (4 – 2j)
(b) z=ej/3 + e¯jπ/3
(c) z=3e³/3 +€³²π
(d)
(e) z = ji
z =
z = 1+j
Transcribed Image Text:[15 points] Express each of the following numbers in Cartesian form (a + jb) without using a calculator. (You can use a calculator to check your work, but you should hand in a solution that shows you can solve this by hand. Numbers such as 9/17 and e² are acceptable without being converted to decimal form.) (a) z = (2+3j) – (4 – 2j) (b) z=ej/3 + e¯jπ/3 (c) z=3e³/3 +€³²π (d) (e) z = ji z = z = 1+j
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