37. For the complex numbers (a) Arg(212) Arg(z1) (b) Arg(z1/22) Arg(z1 38. For the complex numbers (a) arg(212) = arg(21) (b) arg(z1/22) = arg(z1) %3D

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

A: See solution below

Q: (a) 2122 + 22Z3 + 2321 (b) (c) Re(z) +Im(2?

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

Q: 3. i 5. (5 -91) + (2- 4i) 7. i(5+ 7i) 9. (2 - 3i)(4 + i) 4 i" 6. 3(4 - i) - 3(5 + 21) 8. i(4 – i) +…

A:

Q: - 6(7q? – 4q + 1) + 5(- q² + 6q - 6)

A:

Q: Suppose the complex numbers x and y satisfy the following equations: xy - y² xy + 2x² = = 3 1 (A) 8…

A: Answer is D. 16

Q: Find all solutions of (a) 4 = -1 24 (b) 2³ = 8i (c) 25 = 1 (d) z² = 1 + i

A:

Q: 2x (x- 3)(x - 5) 3. 5 (x- 3) (x – 5) 3 (х — 3) ' (х- 5) (x-5) 3. 5

A:

Q: a) 2y2/3-1/2 - 4y5/6 3/2 where A = = A(1 – B) √z and B =

A: 2y2/3 z-1/2 - 4y5/6 z3/2 =A( 1-B)/sqrt(z)Find A and B.

Q: Write the following complex numbers in exponential form. The principal value of ал the argument…

A:

Q: 3.9b + a3 + 27 - 3a2 + 5a3 - 2a2 + 2.1b + 7

A:

Q: What is the multiplicative inverse of the complex mumber z = 2-5i? 2 В. 29 29 c (1) D. (;=) А. C.…

A:

Q: Multiply the complex numbers 15+j4 and 12+j4

A:

Q: Suppose the product z1z2 of two complex numbers is a nonzero real constant. Sho 2 kz1, where k is a…

A:

Q: amplify the following comp (a) (3+53)(3+23) (1-73)(7+13) (b) (c) (a + b)(a + c)

A:

Q: What mixed number did Ricardo de equation to represent the decompc (4)/(5)+(5)/(5)+…

A: Given fraction is (4/5)+(5/5)+(6/5)+(5/5)+(4/5) Concept: First we will take LCM of denominator…

Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: Solve (x²y + y³) dx 5(1+x²y-²) 18 18(1-y²x-2) 5 a. b. C. d. X Y X y = 18(1-x²y-2) 5 5(1+y²x-²) 18…

A:

Q: If z=3-4i then express these following complex numbers in the form of a+ib: (a) (=+1)(=+i) 2z (b)

A: If z = a + ib and w = c + id then z+w = (a+ib) + (c+id)       = (a+c) + i(b+d)

Q: (a) Simplify the following () 62 (i) V-180 (b) For the complex numbers 21 = 8+ 15j and z2 =-3 + 8j,…

A: →j2 = -1→j4 =j2 × j2 = -1×-1 =1             So, j4k =1 , where k is any natural number.→Let z= x +…

Q: 1/4 (금) 3 1. Find all the values of

A:

Q: -31 If A = [²2² =2²] B = [²34 21 6 -2. Find 2A - (B + A)

A: given

Q: 1- x-2 Before simplifying I wrote the complex fraction 1 - 5x-3' without negative exponents as 1 1 1…

A: Given1-x-21-5x-3=1-1x21-15x3=x2-1x25x3-15x3=x2-15x3-1·5x3x2=xx2-15x3-1

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

A:

Q: (-9 9-10i) (2-7i)

A: Simplification

Q: If =1-i and =5-21 then draw the following complex numbers on the Argand Diagram: (a) 2, + (b) 4-4…

A: The objective of the question is drawing the given complex numbers on the Argand plane (diagram).

Q: Simplify the complex power [(1+i)/(1-i)]-2i  and leave your answer in its simplest form.

A: Use the following formulae, to obtain the solution.…

Q: 23 Discussion A multply And simply the resu Apression with positive ex (-2x4) (-(ex -4 √²) Y4) -2 M

A: Here an expression is given as we know that  and also where  is any variable and  are any real…

Q: (5i-3)(5i+3)

A: To determine the product.

Q: 4x +9x-5 4. Which expression is equivalent to 2x-1 where x # 5 A. 2r+x+5 . 11 B. 21+ 2 2(2x-1) C.…

A: Topic = Algebra  Correct Option = A

Q: If z₁ = 5-i, z₂ = 1-2¡ then evaluate 32₂ +22₁-5- z, 2z, -3z₂ +3-i

A: Use complex number concept

Q: possible

A: Simplify the above question We can write 5=3+2

Q: 1. 5(x+3)(x-6)-2(x-2)(x+5) = x² + 2(x – 4)² – 3(28-x) (4х-3) (х-1) 2. 3 (х-1) 2(x-2)2 + 1 +== 2 8.…

A: Using x+ax+b=x2+ax+bx+ab and x+a2=x2+2ax+a2 Simplify the given equation and then solve the…

Q: 34 in

A: The volume of a prism (with any shape as the base)  is given by V=B·h  . . . . . . . (1) Where B is…

Q: simplify: (1/(x-1))+(3/x)=1/(x(x-1))

A:

Q: 4. (-3i)(4i)(-5i) 5. (7i)(6i) 6. i42 7. i56 8. i s0 9. (5- 2i) + (-13 – 8i) 10. (7 – 6i) + (9 + 11i)…

A: First I have written the property of iota (i ) and then using them find the Solutions. All the…

Q: 6- The Conjugate of 4+3i =-(4+3i)

A: The objective is to find the conjugate of (4+3i).

Q: (6y² - 3y-8y')-(3y - 2y-5y') Зу

A: