. Use Definition 17.1.2 to find a complex number z satisfying the given equation. Definition 17.1.2 Equality Complex numbers z, = x, + iy; and z3 = x, + iy; are equal, z, = z3, if Re(z) = Re(z;) and Im(z) = Im(z). 2-i 1. 2z = i(2+ 9i) 2. z + 27 = 3. = 3 + 4i 1+31 1+2

Q: Express each ratio as a single cor (a) (23.5 + j8.55)/(4.53 – j211) (6) (21.2– j21.2)/(3.54 – 3.54)…

A: Given : (a)  2.35-j8.554.53-j2.11 (b)  21.2-j21.23.54-j3.54 (c)  -7.07-j7.074.92-j.868 Here

Q: Simplify the complex number i .45 as much as possible.

A: See solution below

Q: III. Find all cube roots of each complex number. 5. 8 cis 60°

A: We have to find cube roots of complex number 8 cis 60°.

Q: 2. Find the square roots of the complex number: Z=3+4√7 i

A: Square root of complex number

Q: Describe and plot the set of all complex numbers that satisfy the equation Iz - 2il = Im(z) %3D -2

A: We have to plot the complex graph satisfying the given equation.

Q: z is a complex number.

A:

Q: Write the complex number (-1-i)0 in the form x+iy - 8 Ob. 16 -32 d. 32i

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Given the complex number   z=x+yj. Determine z .   Express your final answer in rectangular form

A:

Q: Find the cubic roots of the Complex number Z=-j and graph these roots in the complex Plane? Ans. Wo…

A: To find cube root of given complex number first convert into euler form then take cube root. Then…

Q: B. Find the indicated powers of the given complex number. Express the result in polar form, then…

A: We have to find   -3 + 3i31  and express this result in polar and rectangular form.

Q: Answer the following. Show complete solutions. 6. Evaluate, e(2Z45°) Evaluate, N = (3+ 4i)(1+2i) 7.…

A: The given problem is to evaluate and simplify the given complex expressions and express in the form…

Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

A:

Q: Q.4.3 Find the square of the complex number 2-2i and write the answer in the form a + bi where a and…

A: Given: 2-2i To find: Square of 2-2i.

Q: Simplify the complex number i 35 as much as possible.

A: See solution below

Q: Q1. Check which of the complex no. is closer to the origin.. a. Z₁ = 1 + 2i b. Z₂ = 3 - 4i

A:

Q: Given the complex numbers z, = 2 + j3,zz = -1 - j2, and zs = 4 + j4 find; ZZ2 m(高) (5)+(6 (六)(五)+ Z2…

A: We have to simplify given complex expression.

Q: 2. Solve for the complex mumber z in r (4+ 36) – 7 = 7x - 4zi. Show all algebra.

A: Given expression is x(4 + 3i) - 7 = 7x - 4xi

Q: 1. Write the complex number i+= in the form of rele V3

A: The polar form of complex number  is    , where     and  and .

Q: If a = 2 + 10i, b = 4 – i, determine a²b³. Use all the roots of complex number b.

A:

Q: 7. Plot the complex number 3 - 6i

A:

Q: Determine the magnitude of the complex number, X. x-(8e(4ery

A:

Q: 1. Solve the following complex number arithn 1-j 2+3j A. B. (3-4j) (5+6j) C. (1+2)+4e/50 Se/30 2-j…

A: A. Given complex number is: z=1-j2+3j. Multiply by divide the complex conjugate of denominator.…