4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 + 5i) b) (3+ 4i)(10 – i

Q: 1. Having the following complex numbers A= 5 – 21 and B= 3 + 8i a) A + B b) В — А c) A*B d) What is…

A: a) Given complex numbers A=5-2iB=3+8i In addition of complex numbers real terms are added and…

Q: For the complex numbers • w = 3-5 i • z = -4+7 i Enter exact value of the imaginary part of their…

A: Product of two complex numbers (a+ib)(c+id)=ac-bd+i(ad+bc)

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

A: Square root of complex number

Q: Using the given complex numbers on the Argand diagram find: Z4 -2 2. 3. Z5 21

A:

Q: Q3. Create the following complex variables: L1 = 5+3i, L2 = 2 -4i, Perform the following operations…

A: Add the complex numbers 5+3i and 2-4i.

Q: For the given complex numbers: Z1 = 4 - 2i and Z2 = -1 +3i, find: Z1 - 2 22 Select one: a. 6 - 8i b.…

A: Given thatZ1=4-2iZ2=-1+3i2Z2=-2+6i

Q: b) Write the following complex number in Cartesian, Polar and Exponential for VZ+ Või -1+ v3i

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Add the following two complex numbers: (3 + 2i) + (5 – 31). What do you notice?

A: Given that (3+2i)+(5-3i)

Q: For the complex number 3+ 4i the real part is and the imaginary part is

A:

Q: Divide the following complex numbers: (ComplexNumber)1 (ComplexNumber)2 1. (ComplexNumber)1: Real X1…

A: given that

Q: For the complex numbers w = 7 + -6 i • z = 4 - 5 i Enter the absolute value of 2w 3z in the space…

A:

Q: For the complex number 3 + 6i the real part is and the imaginary part is

A: Given that Complex number = 3 +6i

Q: What is the area of the shape below, given: a = 19.9 and b = 19.2. Complex shape consisting of a…

A: Given that: a= 19.9 and b=19.2 To sketch according to the question, In figure ABCD is a rectangle…

Q: of the complex number: (27V3 27 3

A:

Q: Find the cube roots of the complex number Z. z = 27 cis 195°. Select all correct answers.

A:

Q: Use DeMoivre’s theorem to find (–8)1/3. Express your answer in complex form.

A:

Q: Take the last four digits ABCD of your student identification number, and let z1= A + Bi and z2 = C…

A: Here, z1=5i z2=6+4i

Q: 4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i %3D a) 7/5 -…

A: Given the complex expression=5−i3+i

Q: Evaluate (3−4i)(8i) and express as a simplified complex number.

A: A complex number is of the form z = x + iy. where x is real part of z and y is imaginary part of z.…

Q: Use DeMoivre’s theorem to find (–√3/2 +i/2)12. Express your answer in complex form.

A:

Q: What is the product of the complex numbers 3 4i and -6 + i, where i = v-1? %3D A -22 + 27i B. -18 -…

A: Solved below

Q: Combine the following complex numbers.   (6 + 7i) - (4 - i)

A: Given- 6+7i-4-i To find- The value of the above complex number. Concept Used- The above complex…

Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) -…

A:

Q: Perform the indicated operations and express your answer in the form a + bi. √ (3 + 4i) (4i - 3)

A: The given expression is 3+4i 4i-3. Simplify as follows.

Q: For the given complex numbers: Z1 = 3- 2i and Za = -1 +3i, find: 2"21 - 22 Select one: O a.7-6i O…

A: To find The value of 2z1-z2

Q: Perform the following operations on the complex numbers. a) (4– 6i) – (-8 - 9i) b) (4 – 6i)(-8 – 9i)…

A: (a) Perform the subtraction operation for the given complex numbers.…

Q: What is the simplified complex expression of (4.33 +2.5i)??

A: Solution :  Given that (4.33 + 2.5i)2

Q: Add the following two complex numbers: (3 + 2i) + (5 – 3i). What do you notice?

A: Add the following two complex numbers: (3+2i) + (5-3i)

Q: Evaluate the complex integral 033.png 2+3i az 2p- bz? +c if a = 9.3, b = 3, and c = 12. Then, find…

A:

Q: and of b is Writing the complex number z=2 e6 in the form a+ ib, the value of a is

A:

Q: (3.0642+2.5712i)(-2.0806+4.5465i)

A:

Q: For items 8 & 9, express the complex number in rectangularform. 8. 4 cis - A. 1+ iv7 B. 2+i 2V3 C. 2…

A:

Q: From the following rectangular complex number Z-4+3i, Z-2-3i and Z,--5+2i Find the poler form?

A: Given:     z1=4+3i      z2=2-3i      z3=-5+2i For a complex number z, expressed in Cartesian form as…

Q: Let z = 3 – Ai, w = 1+ 2i be complex numbers. For both z and w, what is the: • Real part • Imaginary…

A:

Q: Evaluate the complex integral 033.png (2+3i az bz² zp bz +c if a = 6.08, b = 5, and c = 32. Then,…

A: Given the integral  ∫02+3iazbz2+cdz we have to evaluate this integral and if a= 6.08 , b=5 ,c =32 we…

Q: it is given that z+2i=iz+A, w/z=2+2i, Imw=8, where z and w are complex numbers and A is a re…

A:

Q: Calculate these complex numbers and express your results in rectangular form: 15/45 (a) + j2 3- j4…

A: To find: Calculate these complex numbers and express your results in rectangular form: 15∠45°3 - j4…

Q: Z, = 2 cis 30° Z2 = 3elli %3D Zz = In (1 + i)

A: Given: Z1=2cis30° Z2=3eπi Z3=ln1+i Z=Z1Z2+Z3 Z1=2cis30°     =2cos30°+isin30°      =232+i2…

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…

A:

Q: For the given complex numbers: Zı = 4 - 2i and Z2 =-1 +3i, find: 2*Zı - Z2 Select one: a. 5- 5i O…

A:

Q: What is the complex conjugate of a phasor (imaginary portion) that is going as 5.45*exp(-3.07j)?…

A:

Q: 8.3) Solve the equation z – 8 = 0, using De Moivre's theorem, giving the results as complex numbers.…

A:

Q: For the given complex numbers: Z1 = 4 - 2i and Z2 = -1 +3i, find: Z1 - 2*Z2 Select one: O a. 5- 5i…

A: Given complex numbers are Z1=4-2ι and Z2=-1+3ι. We have  to calculate Z1-2Z2. We know that a complex…

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

A:

Q: Express the following complex numbers in standard form a ± bi. 12 +V-81 (a) (b) (2— 6і) (3 +)

A:

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

A: We have to find roots of given complex no.

Q: Consider the following definitions of imaginary numbers: x=4−2i y=6+7i z=5i Then, x+y−2z=?

A: We plug the given values in the expression x+y-2z