#1) Find the Midpoint of the line segment joining the points corresponding to 4-3i and 2+2i in complex plane #2)Find the Midpoint of the line segment joining the points corresponding to 5- 5i and 2+i in complex plane #3 )Find the Midpoint of the line segment joining the points corresponding to 6 +5i and 2+i in complex plane # 4)Find the Midpoint of the line segment joining the points corresponding to 7i, and 9--10i in complex plane

Q: Q2\ If z = 1 + i, what is z3 + z? + z + 1 as a single complex number?

A: Use the following formulae, to simplify the given expression.…

Q: The conjugate of the complex number -4 – 3i is a) 3 – 4i b) 3 + 4i c) -4 – 3i Qd) -4+ 3i

A: A conjugate is where we change the sign in the middle.  i.e        Conjugate of a+ ib = a- ib

Q: 1) Plot z = -2 + 5 i in the complex plane and find its absolute value #2) Plot z = 3-4i in the…

A: Given: To Plot a) z= -2+5i b) z= 3-4i c)z= 4-6j d) z= 5-12j Let horizontal axis be real axis and…

Q: Factor over complex numbers into a product of linear factors x2n + x" + 1

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Q: Ifz₁, Z2, Z3 are complex numbers such that (2/z₁)=(1/z₂)+(1/z3), then show that the points…

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Q: f(x) = x4 - 1 6- -4 2- -2 2 --2 Use option v for the v symbol. Enter each zero in a separate box.…

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Q: Find the complex number z that satisfies 3z + 5z = |2|2 + 8i.

A: The given problem is to find the complex number which satisfies the given complex function, We have…

Q: Identify the real part, imaginary part and magnitude of the complex number ecos(theta)+jsin(theta)

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Q: Use de Moivre's formula to find the Cartesian form of the complex number (-1+iv3) *".

A: The given complex number is                                      -1+i3-7 De Moivre's formula:…

Q: An engineer wants to determine the distance d of the two complex number in the complex coordinate…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 13) Find and graph all the roots in the complex plane for V-8 + 8i

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Q: Explain what is meant by the complex plane and how to represent a complex number a+bi on it. 2） Let…

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Q: Find the complex conjugate of (2+3i)/(1-i)

A: We find complex conjugate of (2+3i)/(1-i)

Q: HOW DO YOU SEE IT? Match each complexnumber with its corresponding point.

A: Given that, (i) 3cos0°+isin0°(ii) 3cos90°+isin90°(i) 32cos135°+isin135°(i) 32cos315°+isin315°

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: Q4\ If z and z are conjugate complex numbers, find two complex numbers, z = z, and z = z,, that…

A: The given equation is: 3zz¯+2z-z¯=39+i12 Let z=a+ib be a complex number satisfying the equation,…

Q: Let z₁ = 5+2i, Z₂=1+3i, z3=2-3i, Z4--4-7i. (a) Plot the complex numbers z₁, Z2, Z3, Z4 on an Argand…

A: Solution

Q: Let Z₁, Z2, Z3 be three complex numbers and a, b, c be real numbers not all zero, such that a + b +…

A: Given:  a+b+c=0, az1+bz2+cz3=0. To show: z1, z2, z3 are collinear.