(a) zi is the complex number a + jb. z2 is the complex number 6 + j2. Given that the product z, xz₂ = 30 +j10 determine a and b {Here z denotes the complex conjugate of z2}. Find the roots, x₁ and x2, of the quadratic equation: x² − 5x + ( ½ − j) = 0 giving your answer in the form x₁ = pi + jq1 and x2 = P2 + jq2. Using only the definitions of cosh(x) in terms of e and e*, evaluate cosh(1+j2). Plot both 1 + j2 and cosh (1 + j2) on an Argand diagram. (b) (c)
(a) zi is the complex number a + jb. z2 is the complex number 6 + j2. Given that the product z, xz₂ = 30 +j10 determine a and b {Here z denotes the complex conjugate of z2}. Find the roots, x₁ and x2, of the quadratic equation: x² − 5x + ( ½ − j) = 0 giving your answer in the form x₁ = pi + jq1 and x2 = P2 + jq2. Using only the definitions of cosh(x) in terms of e and e*, evaluate cosh(1+j2). Plot both 1 + j2 and cosh (1 + j2) on an Argand diagram. (b) (c)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a)
zi is the complex number a + jb. z2 is the complex number 6 + j2. Given
that the product z, xz₂ = 30 +j10 determine a and b {Here z, denotes the
complex conjugate of z2}.
Find the roots, x₁ and x2, of the quadratic equation:
x² - 5x + (−j) = 0
giving your answer in the form x₁ = pi + jq1 and x2 = p2 + jq2.
Using only the definitions of cosh(x) in terms of e and e, evaluate
cosh(1+j2). Plot both 1 + j2 and cosh(1 +j2) on an Argand diagram.
(b)
(c)
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