5(7+ j2) 3- j4 Q1\ Simplify (2+ j5) + -j(4- j6), expressing the result in the form x+jy.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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H.W3 / Complex Number
5(7+ j2)
Q1\ Simplify (2+ j5) +
3- j4
j(4- j6), expressing the result in the form
x +jy.
1
=-2+ j4 and
Z3
1
Q2\ If 4 = 2+j, z,
1
+-
evaluate Z in the form
x +jy and in polar form.
2-j
in polar form. Express the principal root in
1+j2
Q3/ Find the three cube roots of
Cartesian coordinates.
Q4/ Determine the fifth roots of 2- j5 in polar coordinates.
Q5/ Solve the equation z' +j2z+(1 – j)= 0. Express the answer in exponential
and Cartesian forms.
Express -2+j, 3+ j2, and 1-j2 in polar form and apply DeMoivre's
Q6/
(1– j2)
(-2+ j)(3+ j2)*
theorem to evaluate
Express the result in all forms.
Full
Q7/ Express in the form x +jy
(1) ei(r/2-j)
(2) In(3 – j)
(3) sin(t/4+j2)
Transcribed Image Text:H.W3 / Complex Number 5(7+ j2) Q1\ Simplify (2+ j5) + 3- j4 j(4- j6), expressing the result in the form x +jy. 1 =-2+ j4 and Z3 1 Q2\ If 4 = 2+j, z, 1 +- evaluate Z in the form x +jy and in polar form. 2-j in polar form. Express the principal root in 1+j2 Q3/ Find the three cube roots of Cartesian coordinates. Q4/ Determine the fifth roots of 2- j5 in polar coordinates. Q5/ Solve the equation z' +j2z+(1 – j)= 0. Express the answer in exponential and Cartesian forms. Express -2+j, 3+ j2, and 1-j2 in polar form and apply DeMoivre's Q6/ (1– j2) (-2+ j)(3+ j2)* theorem to evaluate Express the result in all forms. Full Q7/ Express in the form x +jy (1) ei(r/2-j) (2) In(3 – j) (3) sin(t/4+j2)
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