Solve the following complex numbers: Z1 = 5+3i ; Z2= 4+5i ; Z3 = 3-i 1.The roots of (Z3)^(1/3)

Q: Find the product of the two complex numbers. 21 = 3 (cos 10 +i sin 10") and zg=-2(cos 35" +i sin…

A: Given: x1=3(cos 10°+i sin10°) and x2=-2(cos 35°+i sin 35°)

Q: solve the complex equation using demoviers theorem x' – 1 = 0

A: Given equation is  x^7 -1=0

Q: Solve the following complex numbers. 0 ≥ θ ≥ 2Π If z5 = 1 - 2i

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Q: 2 find all complex solutions of x = =-4+4/3i. 口 0..

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Q: Express the complex number in exact simplified rectangular form.

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Q: 5. ) If 3x + 4yi = z2, what is x+y equal to?

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Q: Find the quotient z1/z2 of the complex numbers z1 = cos 80° + i sin 80° andz2 = cos 200° + i sin…

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Q: Find two square roots for the complex number. Leave your answers in trigonometric form. 81 cis 0° 9…

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Q: 13 8 cos 37 + i sin 8 |10 + i sin 16 Cos 16

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Q: Rewrite the complex number 7e“ in a + bi form. Round to two decimal places.

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Q: What is the result of multiplication of complex numbers -V3+i and (cos + i sin )? 3

A: Let z_1 = - sqrt 3 + i = r cos theta + i . r sin theta r cos theta = - sqrt 3 r sin theta = 1 Then…

Q: Determine the roots of the complex numbers discussed in class. 1. z3 = -2 2. z3 = -3

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Q: Express the complex number z = 10 cis 315° in rectangular form a + bi.

A: Given the complex numberz=10cis315°

Q: Find the product of the complex numbers z1 = cos π/4 + i sin π/4 and z2 = cos π/3 + i sin π/3. Leave…

A: To find the product of the complex numbers  z1=cosπ4+isinπ4z2=cosπ3+isinπ3

Q: Vz1 (principal root) O 4.3525 - 1.0275i O 4.3525 + 1.0275i O 2.0582 - 0.4859i O -2.0582 + 0.4859i

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Q: Find all complex fourth roots of - 2 + 2/3 i. In other words, find all complex solutions of X x* = -…

A: Given: -2+23i

Q: 6(cos120deg +i sin120deg) x 4(cos30deg +i sin30deg)

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Q: Solve the following  complex numbers in their rectangular form.  Where in Z1=2+4i, Z2 = 5e2i and Z3…

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Q: ber with this given equation?

A: Here we have to find the magnitude of the complex number with this given equation. Given : z=-1+1i…

Q: 6. Find all complex cube roots of 27(cos 219° +i sin 219°).

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Q: Find the product of the complex numbers z1 = 4(cos 50° + i sin 50°) and z2 =  7(cos 100° + i sin…

A: Given complex numbers - z1 = 4cos50°+isin50°                ..........................(1)z2 =…

Q: Find the product of the complex numbers z1 = cos 210° + i sin 210° and z2 = cos 55° + i sin 55°.…

A: cosθ+i sin θ=ejθ

Q: Find all complex numbers that are solutions of the given equation. Leave your answers in standard…

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Q: he following  complex numbers in their rectangular form

A: Given,              logZ1Z3Z2 Where in Z1=2+4i, Z2 = 5e2i and Z3 = 4 cos 40°

Q: Give the solutions of the complex equation –3z°(1 + i) = z(1 – i) in trigonometric for

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Q: Find the product of the complex numbers z1 = cos π/6 + i sin π/6 and z2 = cos π/4 + i sin π/4. Leave…

A: the given two complex numbers are: z1=cosπ6+isinπ6z2=cosπ4+isinπ4 we have to find the product of the…

Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

Q: Find the quotient z1/z2 of the complex numbers z1 = cos 70° + i sin 70° andz2 = cos 230° + i sin…

A: The two complex numbers are given as , z1=cos70°+isin70° z2=cos230°+isin230° The value of z1z2 can…

Q: Given the complex numbers  z = 8 (cos(8π/15) + i sin(8π/15))  w = 1/2 (cos(17π/15) + i…

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Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

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Q: Find the quotient z1/z2 of the complex numbers z1 = 50(cos 80° + i sin 80°) and z2 = 4(cos 25° + i…

A: We have to find quotient z1z2 of the complex numbers: z1=50cos 80°+i sin 80° and z2=4cos 25°+i sin…

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos 5π/18 + i sin 5π/ 18) and z2 = 10(cos π/16…

A: Given two complex numberz1 = 3cos5π18 + i sin5π18z2 = 10cosπ16 + i sinπ16

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.4 + 5i

A: Given that, the complex number 4+i 5 Express the complex number in trigonometric form with 0 ≤ θ…

Q: The modulus of a complex number x+jy is equal to

A: The modulus of a complex number x+jy is equal to

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

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Q: Find all complex fourth roots of -2-2/3i. In other words, find all complex solutions of x=-2-2/3i.

A: follow next step

Q: Find the product of the complex numbers z1 = 6(cos 40° + i sin 40°) and z2 = 5(cos 20° + i sin 20°).…

A: Given  z1 =6cos 40° + i sin 40° z2 =5cos 20° + i sin 20°

Q: If a, b, c, d are complex roots of x 4 + 2x 3 + 3x 2 + 4x + α = 0 and ab = cd, the value of α is…

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Q: logz, (z3":) \0gz;

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Q: . Find all complex solutions to the given equation (1) x3+8i =0

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

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Q: Solve the following complex numbers 1. sin[ln(8 + j5)] 2.   sinh[ln(8 + j0)] + cosh(8ej0.785)

A: We need to solve the following complex numbers. Note: We will be using the trigonometric and…

Q: 2. 8 cos + i sin 8 8 10 + i sin 16 cos 16

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Q: Find all complex fourth roots of -2-2/3 i. In other words, find all complex solutions of x" =-2-2/3…

A: Given  -2 - 2√3i and we have to find all four roots of complex

Q: Express the given complex number in polar form z=-5*square root of 3 - 5i)

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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