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Q: What is meant by Complex Numbers in algebra?

A: Complex numbers are of the form: a+ib  Where  Since the square root of a negative number does not…

Q: Reduce the quality 5i to (1-i)(2-i)(3-i) real number.

A: Now we reduce the quality  5i(1-i)(2-i)(3-i) to real number.   5i(1-i)(2-i)(3-i)…

Q: Define the Complex Number by using example inside this arc: (7- 3i )

A: Consider the given example of the complex number. C=7-3i The general form of the complex number is…

Q: Divide complex numbers: 4 2i 3- i

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Q: Express each of the folowing complex numbers in the form x + yi: (3 - 4)5 (4 + 37)

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Q: What set of numbers does 25i belong too?? Is it just complex numbers ???????

A: The given number is 25i

Q: Express in the form , where a and b are a+bi real numbers.

A: 19--4

Q: To subtract two complex numbers geometrically, first represent them as ________.

A: To subtract two complex numbers geometrically, first represent them as vectors u and v. Consider two…

Q: Define the absolute value of a complex number.

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Q: which complex number has an absolute value of 5?

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Q: Express in the form , where a and b are a+bi real numbers.

A: We have to express given number 20-8i4i in the form a+bi where a and b are real numbers.

Q: Prove that well prooluct of Sum as as amy two conjugate complex numbers is real number-

A: Let Z1 and Z2 be two complex numbers such that  Z1 = a1 +ib1 and Z2 = a2 + ib2  Where a1, a2, b1, b2…

Q: 2) Suppose 1 and w are complex numbers, show that Aw =

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Q: 111. Give an example of a complex number that is its own conjugate.

A: Given, Give an example of a complex number that is its own conjugate.

Q: Prove:The addition of complex number is associative.

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Q: What are Complex Numbers?

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Q: Represent by drawing (Argand) The Complex numbers

A: 8. (a)  The objective is to represent the complex number z=5+2i on the argand plane. Given complex…

Q: 13. Find the complex number.

A: Given real part=4 Imaginary part=-7i

Q: True or False The polar form of a nonzero complex number is unique.

A: The polar form of a nonzero complex number is unique.

Q: Let z be a complex number. Then coth(2+Ti) is equal to -tanhz O None of these O -cothz O cothz O…

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Q: Find all complex numbers satisfying |z + 3 + 4i| = |z − 5|

A: Topic:- complex numbers

Q: How many complex numbers z with |2| = katisfies the equation 2 %3D

A: z=1⇒z2=1⇒zz¯=1⇒z¯=1z

Q: Let z be a complex number. Then coth(2+m) is equal to * Ocothz O cothz O None of these tanhz, O…

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Q: Let z be a complex number. Then coth(z+JTi) is equal to -tanhz O None of these tanhz cothz -cothz

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Q: Represent by dvawing (Argand) the Complex numbers

A: So for better understanding I'm providing hand written solution.

Q: what is complex number ?

A: Here we need to describe complex number.

Q: Let z be a complex number. Then coth(2+ Ti) is equal to None of these tanhz -tanhz oothz

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Q: What is the result of multiplication of complex numbers -V3+i and 끓 (cos +isin )? A 을 (cos +i sin )…

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Q: Show that the conjugate of the sum (product, or quotient) of two complex numbers, z1 and z2 , is the…

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Q: Write the complex number in trigonometric form. (Let 0 < 0 < 2n.) z = Imaginary axis 10아 5 z = -4 -…

A: The given complex number is  Z= -4+0i  Here the imaginary part of this complex number is 0 .

Q: Express in the form , where a and b are a+bi real numbers.

A: To express the given expression in the form of (a+bi),where,(a,b∈R). (4+2i)(-5+4i) Solution:…

Q: Let z be a complex number. Then cot(5z – n) is equal to

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: 6+5i -6-3i 2s

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Q: Let z = 3 – Ai, w = 1+ 2i be complex numbers. For both z and w, what is the: • Real part • Imaginary…

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Q: Express in the form , where a and b are a+bi real numbers.

A: We have to express the express in a+bi form for the given expression: 3+8i2 We know that…

Q: The variable z is often used to denote a complex number and 7 is used to denote its conjugate. If z…

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Q: Let z be a complex number. Then coth(2+Ti) s equal to * ● -tanhz O None of these ) -cothz O cothz O…

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Q: 112. Give an example of two complex numbers that are not real numbers, but whose product is a real…

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Q: How do I write 2tan15/1-tan^215 as a single trignometric fuctions or as a singal number?

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Q: What is the complex conjugate of a phasor (imaginary portion) that is going as 5.45*exp(-3.07j)?…

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Q: Show that if z1 and z2 are complex numbers then (z1/22) = Zī/22.

A: Given, z1 and z2 are two complex numbers and we have to show,

Q: How do I write this complex number in standard form?

A: Given that: -7.-14

Q: Let z be a complex number. Then tanh(2+ Ti) is equal to * cothz O -tanhz -cothz None of these O…

A: according to bartleby guideline, I can solve first question...

Q: show that the product of a+bi and b+ai always results in a purely imaginary number given that a and…

A: The general form of complex number is :-       a+ bi , where a is real and b is imaginary part.…

Q: Vrite cach quotient as a complex number. 28. 31 29. 3-21 21. 27. 5

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Q: Express in the form , where a and b are a+bi real numbers.

A: Let the given expression be z - z = 7+5i--8+3iz = 7+5i+8-3iz = 7+8+5i-3iz = 15+2i

Q: Let z be a complex number. Then cot(5z-pi)=coth(5z)?

A: According to the given information, it is required to check whether the given statement is true or…

Q: b, be complex numbers and N a positive natural number such N¬I i2knx N = απ Τ n = 0 to N - 1 k=0

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Q: Is O can be represented as a complex number? Select the correct response: True False

A: Is 0 can be represented as complex number .