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SECONDARY
CALCULUS AND ANALYSIS
PRECALCULUS
COMPLEX NUMBERS
Secondary
Calculus and Analysis
Precalculus
Matrices
Polynomials
Probability and combinatorics
Composite functions
Vectors
Trigonometry
Complex numbers
Series
Polynomial graphs
Transformations of functions
Calculus 1
Calculus 2
Algebra
Geometry
Statistics and Probability
Math Word Problem
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Complex numbers Answers
Complex numbers
asked 2021-03-11
Determine the absolute value of each of the following complex numbers:
a. z = 5 + 12i
b. 2 - 3i.
Complex numbers
asked 2021-02-26
Find the product of the complex numbers.Leave answers in polar form.
\(\displaystyle{z}_{{1}}={1}+{i}\)
\(\displaystyle{z}_{{2}}=-{1}+{i}\)
Complex numbers
asked 2021-02-15
Write the complex number in trigonometric form r(cos theta + i sin theta),with theta in the interval
\(\displaystyle{\left[{0}^{\circ},{360}^{\circ}\right]}\)
\(\displaystyle{5}\sqrt{{3}}+{5}{i}\)
Complex numbers
asked 2021-02-14
Find the modulus of each of the complex numbers 5i, 7, and 3 + 4i.
Complex numbers
asked 2021-02-12
Find the real numbers x and y so that the equation is true.
\(\displaystyle{x}−{2}{i}={7}+{y}{i}\)
Complex numbers
asked 2021-02-09
How to add complex numbers. Provide an example with your explanation.
Complex numbers
asked 2021-02-02
The exponential expression
\(\displaystyle{2}^{{8}}\)
has a value of 256. Write two other exponential expressions that have a value of 256. Explain how you got your answers. (Begin by writing out
\(\displaystyle{2}^{{8}}\)
as the product of 2s.)
Complex numbers
asked 2021-02-01
(−5)×⋯×(−5) 17 times
Complex numbers
asked 2021-01-31
If z is a complex number, show that the sum of z and its conjugate is a real number.
Complex numbers
asked 2021-01-24
Write each complex number in standard form.
\(\displaystyle{2}{\left({{\cos{{30}}}^{\circ}+}{i}{\sin{{30}}}^{\circ}\right)}\)
Complex numbers
asked 2021-01-17
In the example problem,
\(\displaystyle{2.4}{x}{10}^{{6}}\)
was rewritten as
\(\displaystyle{24}{x}{10}^{{5}}\)
. Explain why those expressions are equivalent.
Complex numbers
asked 2021-01-08
Determine the absolute value of each of the following complex numbers:
a. z = 3 + 4i
b. z = -1 - 2i.
Complex numbers
asked 2021-01-07
Write standart form of complex number
\(\displaystyle{5}{\left({{\cos{{135}}}^{\circ}+}{i}{\sin{{135}}}^{\circ}\right)}\)
Complex numbers
asked 2020-12-17
Use DeMoivre’s Theorem to find the indicated power of the complex number .Write answer in rectangular form.
\(\displaystyle{\left(\sqrt{{3}}-{i}\right)}^{{6}}\)
Complex numbers
asked 2020-12-07
Write the complex number in standart form
\(\displaystyle{6}{i}^{{2}}-{8}{i}^{{3}}\)
Complex numbers
asked 2020-11-30
Write the standard form of the complex number.
\(\displaystyle{12}{\left({\cos{{\left({60}^{\circ}\right)}}}+{i}{\sin{{\left({60}^{\circ}\right)}}}\right)}\)
Complex numbers
asked 2020-11-08
Determine whether H is a subgroup of the complex numbers C with addition
\(\displaystyle{H}={\left\lbrace{a}+{b}{i}{\mid}{a},{b}\in{R},{a}{b}\ge{0}\right\rbrace}\)
Complex numbers
asked 2020-11-08
Adam starts with the number z=1+2i on the complex plane. First, he dilates z by factor of 2 about the origin. Then, he reflects it across the real axis. Finally, he rotates it
\(\displaystyle{90}^{\circ}\)
counterclockwise about the origin. The resulting complex number can be written in form a+bi where a and b are real numers. What is the resukring complex number?
Complex numbers
asked 2020-11-05
Solve by using De Moivre's Theorem (find real and imaginary part of complex number):
\(\displaystyle{\left(\sqrt{{3}}+{i}\right)}^{{3}}\)
Complex numbers
asked 2020-11-01
Find the principal argument and exponential form of
\(\displaystyle{z}=\frac{{i}}{{{1}+{i}}}\)
If z=x+iy is a complex number
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