6. Evaluate the following and leave your answer in standard form [(1 – 4i)-1 – 2(i + 1)-'[(3 – 4i)(i + 5)-')

Q: (3 +2i) (5 + i) (2 - 31) (1+ i) 4 2

A:

Q: 14.Let A= 3+2i 0 2 1+i 1-i B-( + ?) and B= Find AB.

A:

Q: Find the principle root of 8/. (A) 8i = 3 +1 (C) V8i = 3 + 2/ (B) V8i = 23+1 (D) V8i = 2/3 +8i - %3D…

A:

Q: 5. Expressed in a + bi form, is equivalent to 3+1 1)- 2- 3)- i 4) 15- 5i -5i

A: Given : 53+i

Q: ) ( 7+8i 4+5i 6–3i 8-4i Problem 4: Evaluate

A:

Q: 1. Find the principal value of (-4,3+4i)

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: 1. Simplify the complex mumbers below. i (3+ 5) + (10-14) i. (3+5) - (10 -14) i. (3+ 5)(10-14i)

A: According to the given information it is required to simplify the complex numbers given in each…

Q: 1+ i -7+ 8i 4i 3+ 0i If A = and B find AB. 3+ 3i 2 – i 2+ 0i -14i ? АВ — ?

A: Given: A=1+i-7+8i3+3i2-i B=4i3+0i2+0i-14i To find: The product AB.

Q: (1+7i) а. 2i(4-i)

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: If A = [2 i 9+ 4i 1 3 + 3i then

A: Given: A=2-i9+4i13+3i

Q: prove it :     ( 1/2 + 1/2i )10 = 1/32i

A: Use the properties of complex number to solve this problem.

Q: Suppose z = 5+ –2i and w = -5+ –4i. Then Im(zw) =? %3D

A: zw=(5+ -2i)(-5+ -4i) Implies zw= -25+10i - 20i + 8i2 Implies, zw= -25 - 10i - 8  [since i2= -1 ]…

Q: 18. Express the following in simplest form: (3+ 4i)?(3 – 4i)²

A:

Q: 30 8. Evaluate >² – 3i + 5). - i=8

A:

Q: Fill in each blank so that the resulting statement is true.

A: Given:∑(5i+3)i=117 To find: The first three terms of∑(5i+3)i=117 and their common difference.

Q: (4– 41)°. Use De Moivre's Theorem to find Put your answer in standard form. 믐 i

A:

Q: 8i – 7i+ 6i + 2(9+ i)

A: Given  8i-7i+6i+2(9+i)

Q: 9 – i 3 + 9i If A = find A*. 7+ 5i -4 + 8i ( ) ? ? ? ? A*

A:

Q: 1. Given that z1 = 3 + i, z2 = 4 – 3i, z3 = -1+ 2i and z4 = -2 – 5i, find 21+z2 Z3Z4

A:

Q: 1. 1 + i 2. -4 + 4i 3. 2i, -2i 4. -5

A: As you didn't mention the question numberto be solved so i solved First 3 question.For remaining…

Q: Express z =1/(2+5i) in the form a+ib.

A: Given:

Q: +o0 - Find Ul-1/i, 1/i]- i=1

A:

Q: 10+201 2 3+ 4i (10+5i)(16-201)

A:

Q: for i=√-1, what is the sum (7+3i)+(-8+9i)

A: If z1 = a1 + b1i and z2 = a2 + b2i Then z1 + z2 = (a1 + a2) + (b1 + b2)i

Q: 17. Simplify the expression. 3+4i 2+4i 22-4 12 22-47 20 -10-41 20 10+20 20

A: Topic:- complex number simplification

Q: 50 Evaluate Σ (5 + 2i) i=1

A: Solution is done in step 2

Q: 27 1+1 Evaluate the expression (2i – 1)² Express the answer in rectangular form. 1+i,

A: The rectangular form of a complex number is z=x+iy. The conjugate of the complex number: z=x+iy is…

Q: 4Q Express 2= (1+2i)² 7-i in the form a + ib where a and b are real numbers.

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Q: 1+ 2i = a + bi , then z = 3- 4i 2 34. If z- 1 z ==+= B 2 Z=- 5 D -152I52N In N

A:

Q: |2 In x 1 et 2 1 In 2x

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Q: (2) , = nn/(2in +n) (3) , -(-1)"-k +1, where k is any integer.

A:

Q: 5 In (x°); xo =1

A:

Q: Reduce Z= (1-2i) (3+2i), to the form a + ib а. 7+4i b. other С. 7-2i d. 7-4i O e. 4-4i

A: We will find out the required value.

Q: Find the value of S in (3A +4Si)(6-7i) = 3+5i

A:

Q: (125/11+2i)x+(1-i)(1+i)y=11

A: Solve, as follows:

Q: 14. Find all solutions to 2sin(5x)-3V3 =-4/3. State exact values only. %3D

A: Given equation, 2sin5x-33=-43

Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: Evaluate, N = (3+4i)(1+2i) %3D -0.9382 + 0.6342i

A: Here we have, N=3+4i1+2i taking log both sides,

Q: Let A = |'5 [1-7i 1+4i Find A 31 - 7i 5 l1+ 4i 3il + 7i li – 4i -3il 5 (b) (0) [' ;" + 7i 1-4i - 7i…

A:

Q: 21 3 L 1-6 J Determine all values of a and b so that

A: To determine all values of a and b so that 12a03b-41=-561216. Solution: Two matrix are equal if…

Q: (131 +33i) / (4 - 3i)

A: The given complex number is:  131+33i4-3i

Q: 5 In(x); xo = 1

A:

Q: 1. In(4 + 7i)4i

A: Question (1) - Let the given value be y - y = ln4+7i4iy = 4iln4+7i          ........(1)…

Q: 2. Simplify: (6 - 2i)? – 2(5+ 4i) – 8i. (- 4-31 3. Write in standard form: 5+i + (6+i).

A:

Q: Solve the following expression in the form of a+ bi : i) (-3+4i)(7–1li) 11-2i -2-5i 2+3i 1 +. 2-3i…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Suppose z = -18 + 14i and w 16 + -13i. Then Re (z + w) =? %3D

A:

Q: 2 2 (/8+6i+/8–6i ) = 35 –i

A:

Q: The result of the operation (3–2i)(2+3i) 3-4i is: Select one: ; 63 25 16 25 16 63 25 25 63 + i 25 16…

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Q: Show that x = 5 + 4i is a solution to the equation x2 - 10x + 41 = 0. We will first substitute 5 +…

A: Given equation,                          ...(1) To show that x=5+4i is a solution of the given…