Express as complex number a. (V(9) - v(-9))*( v(-36) b. V(-16) *(V(25) - V(-25) ) c. (3+ 2v(-9) ) * (3+ 2\(-9) ) d. (3+ 2\(-9) ) * (3- 2V(-9) )

Q: 2. Write down the complex (a) 3+ j4, (b) 2 j. [(a) 3 -

A: See the details solution in below

Q: Compute: (i 2-1)2i /2 +3)

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Q: Multiply complex numbers 3(cis122)4(cis213)

A: Given complex numbers: 3(cis122)4(cis213)

Q: 2. Express the product of (3 - 2i) and (1 + 5i) divided by the product of (5 + 2i) and (-4 - i) in a…

A: Given expression is 3-2i 1+5i5+2i -4-i. Simplify the above expression as follows.

Q: find all complex-number solutios (x+5)2 = -108

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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: Simply Each Complex Fraction  5/8+2/3    /   7/3 - 1/4

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Q: Let (x1, y1) = (7, 2) and (x2, y2) = (1, -1). Find √[(x2 - x1)2 + (y2 -y1)2]. Express the answer in…

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Q: Find minor and cofactor of the first row and then use them to find 3 -7 -1 0 -8 8 2 3 -7 -1 = Choose…

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Q: Plot the complex number and its complex conjugate. 9 - 8i Imaginary axis Imaginary axis Imaginary…

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Q: Explain and demonstrate the multiplication of complex conjugates using 2 + 3and its complex…

A: Given : 2+3i

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

A: 19--4

Q: 6. Show that when 0</z - 11 < 2, Complex Analysis (z-1)" (2-1)(2-3)=-3 (2- #=() 2(z-1)

A: Here we prove this statement by using series expansion.

Q: Express in terms of i. V-81 -V-81 = %3D (Simplify your answer. Type your answer in the form a + bi.)

A: a+ib where, a,b are real numbers and  ‘i’ is an imaginary number called iota.√-1 = i

Q: Determine whether the given statement "In the complex number system, x2 + y2 (the sum of two…

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Q: ii) How would you describe geometrically the relationship between a nonzero complex number z = a +…

A: Given: Describe geometrically the relationship between z=a+ib anda. −zb. z−1

Q: Express in terms of i. V- 54 -54 %3D (Simplify your arswer. Type your answer in the form a + bi.)

A: Given : -54

Q: Plot the complex number and its complex conjugate. -8 - 9i Imaginary axis Imaginary axis Imaginary…

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Q: Plot 6 + 6i in the complex plane. Im 9+ 8 7+ Click to add points 3- 2+ 1 → Re 1 2 3 4 5 6 7 8 9 -9…

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Q: Suppose the product z1z2 of two complex numbers is a nonzero real constant. Sho 2 kz1, where k is a…

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Q: Express in terms of i. --4 %3! --4 (Simplify your answer. Type your answer in the form a + bi.)

A: We find the solution by finding the sq. root of the number.

Q: Express in terms of i. V- 80 -80 (Simplify your answer. Type your answer in the form a + bi.)

A: √(-80)=4√(5)i

Q: 1-9, FIND THE DEI 1. y = 5x4 – 9x³ + 7x %3D -

A: The solution is :

Q: What is the conjugate of - 3 + 4i?

A: Any number of the form a+ib where a and b are real numbers and i=-1 is called a complex number. The…

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 (4, 7) 6 4 2 6 8 Real…

A: To find :               The sum of complex number in complex plane.         Adding/Subtracting…

Q: Plot the complex number and its complex conjugate. -8 - 9i Imaginary axis Imaginary axis 10 10 8 8 4…

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Q: What is the complex conjugate of the root æ 3i? O a = -3i

A: if a+ ib is the complex then its conjugate root is a-ib

Q: 10. Subtract 2- V- 64x²y* from – 3– xy-9y' and express the result in a + bi form

A: Answer and explanation is given below

Q: evaluate and simplify into cartesian form (2+j3) / (5-j4)

A: Multiply the numerator and denominator by the complex conjugate of 5-4j

Q: Plot the number -2 – i on the complex plane. 4- imaginary real -4 -3 -2 -1 -1 2 3 4 -2 -3 -4 32

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Q: Plot 1 in the complex plane. Im 8- 7+ 6+ 5+ 4+ 3+ 2+ 1+ → Re -9 -8 -7 -6 -5 -4 -3 -2 1 2 3 4 5 6 7 8…

A: Complex Plan Question

Q: What is a complex conjugate?

A: Every complex number z=x+iy has associated with it another complex number that is known as its…

Q: If z1 =3+4i and z2 =− 1+2i, find z1−3z2 and z1z2.(problem of complex number)

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Q: what is a Complex Conjugates? where the Complex Conjugates came from? how it came in pair?

A: Complex conjugates: If there is a complex number, then its complex conjugate is defined as the…

Q: To do: 6. If Z1 = 2 + 51, and Z2 = 3 - 21, then what is Z1 x Zz as a single complex number? What do…

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Q: If z1 = -4 + j5, z2 = -3 - j2, and z3 = 3 - j2 , what is the simplified form of %3D (금) Z1 - Z3 16…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: as a complex number in Use FOIL to multiply and write the expression standard form -30) (-7+2)(-4…

A: Given that: 1. (-7+2i)(-4+4i)2. (-3-2i)(-7-i)

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: Which of these standard form equation is equivalent to the factored form y= (x+1)(x-2)(x+4)(3x-7) A.…

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Q: What is the argument of the complex number z= 1?

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Q: Plot the complex number. 1-V3i Imaginary Imaginary axis axis 4 4 2 2 1- V3 i Real Real -4 -2 4. axis…

A: A detailed solution is given below.

Q: If z1 =3 - 5i and z2 =26 -2i, find z1 +z2 and z1 -z2.

A: Given that, z1 = 3 - 5i z2 = 26 -2i We have to find z1 + z2 and z1 - z2.

Q: For the complex number z =2ej(-125)° what is Im{z}?

A:

Q: Find a,b,c (if possible) so that 2x^3-9x^2+8x-2=(2x-1)(ax^2+bx+c)

A: The given equation is,

Q: Express in terms of i. - 54 - V- 54 (Simplify your answer. Type your answer in the form a+ bi.)

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Q: Plot the complex number and its complex conjugate. -3 + 2i Imaginary axis 10 8 Imaginary axis…

A: given complex number is -3+2i plot the graph for complex number and its conjugate

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: Use generating functions to determine the number of integer solutions for x + y + 2z = 29, x2-2, y >…

A: Given that x+y+2z=29 As for each x,y,z are non negative. The variable for x is, The variable for y…

Q: Compute: (2 -i OC/2-i3) r:

A: