Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i 1.)26.2 2.)-1 3.)-26.2 4.)1

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: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6. (5, 4) 2 - Real…

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 • (3, 8) 6 (-1, 5) 4 2…

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6 (-2, 3) 4 2 (4, 1) +…

A: To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary…

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

A: The given number is 25i

Q: Find all the complex roots. Leave your answers in polar form with the argument in degrees. The…

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Q: 7) Convert the complex number, 3-5i, nto polar form, Show your work.

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Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8 6 (-2, 3) 2 (4, 1) +…

A: According to the graph we can write the points as                                            A = 4 +…

Q: Find the modulus and argument of the complex number (2+i/3-i)2. Also express -5+ 5i in polar form

A: 2+i3-i2=2+i3-i·3+i3+i2=6+2i+3i+i29-i22=6+5i+-19--12=5+5i102=25+50i+25i2100=25+50i+25-1100=50i100=i2=…

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

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Q: Find the distance between the complex numbers in the complex plane. 1 + 4i, -1 + 7i

A: The distance between the two complex numbers, z1=a+bi and z2=c+di in the complex plane is  In the…

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+7ti) is equal to cothz -cothz tanhz None of these -tanhz

A: Solution

Q: Let z be a complex number .then cos (3z)-I bounded or not

A: Substitute z=x+iy, then convert into real and get known real valued function which is unbounded.

Q: p and q are complex numbers such that pl = 7√3 and lp + ql = 12√2. - On what interval must q fall…

A: Use  Cauchy inequalities and solve the question.

Q: The complex number (−9+7i)/(9+5i) rewritten in Cartesian form is?

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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 tanh(z+Ti) is equal to * cothz -tanhz None of these tanhz -cothz

A: We know that hyperbolic identities

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: 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: If 2 complex numbers z, and z, have the same modulus then they must be equal. Select one: O True O…

A: Let two complex numbers 2+i and  z1=2+i=22+12=5z2=2-i=22-12=5

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10- (3, 8) (-1, 5) • 4 Real…

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Q: Find the distance between the complex numbers in the complex plane. -з - 6і, 6 + 2i

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Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Consider the given: z1=cos80°+isin80°z2=cos200°+isin200°

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: 1. What is radius of each fourth root of 0+4i? 2. What is the angle of the complex root with the…

A: (1) Use De-Movire's theorem to find the smallest fourth root.

Q: Graph the complex number on the complex plane. -2 + 3i 4- 3- 2- -3 -2 -1 -2- -3- 4. 3, 1. 4.

A: Topic = Complex number

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

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Q: Convert the complex number –4 – 9i into polar form. Express the angle using degrees over the…

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Q: (1) |z + 3 + 4i| = |z − 5| (2) |z| = 4   Find all complex numbers z that satisfy both (1) and (2)…

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Q: I multiplied two complex numbers in polar form by first multiplying the moduli and then multiplying…

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Q: 1. Write the complex number 2+ iv3 in the form of reio . (2 Marks)

A: Here we first find modulus and arg then convert this into polar form

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

A: I have solved bothe examples for first question first option is correct And for second question last…

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

A: Let z1 = a+ib and z2 = c+id be two complex numbers. Then we get, Conjugate of z1 is = a-ib Conjugate…

Q: What is the cartesian form of the complex number: (-1-i√3)4

A: The given complex number: -1-i34.

Q: Draw the triangle with vertices 21 = 2 – 4i, z2 = -5 – 4i and z2 = plane and also find the area of…

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Q: Find all the solutions of   18 sinz = 1.  note: z is a complex number, so please solve for the…

A: Please check step 2 for the solution.!

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: To divide two complex numbers in trigonometric form, ________ their moduli and_____ their arguments.

A: If z1=r1cosθ1+isinθ1=r1cisθ1 andz2=r2cosθ2+isinθ2=r2cisθ2 are two complex numbers intrigonometric…

Q: Show how to find the six sixth roots of the complex number 8i and graph all six roots onthe same…

A: First, we express  8i in polar form: a = 0, b = 8 r=a2+b2r=02+82r=0+64r=64r=8…

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: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8. 6. (7, 5) 4 2 Real…

A: Add the real parts and imaginary parts seperately.

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

A:

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 10 8. (-2, 6) 4 2. (6, 1)…

A: In this question we have to find the sum of complex number.

Q: Find the sum of the complex numbers in the complex plane. Imaginary axis 1아 8- 6 (2, 6) (-1, 5) 4 2…

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.3 + 2i

A: Here the given complex number z=x+iy=3+2i⇒x=3,⇒y=2

Q: Use DeMoivre's Theorem to find the indicated power of the complex number [2(cos 48°+isin 48°) State…

A: r(cosθ+i sinθ)n=rn(cos (nθ)+ i sin (nθ)

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

A: The objective is to find cot(5z-pi).