Compute the following: (a) Arg((v3+ i)"). (b) The solution to (3 – 4i)z = 11 + 2i write the answer in the from x + iy. (c) The solution to 2z + 6i = 3 – i write the answer in the from r + z – 1 iy

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: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

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: V-25+ 2iº5+3(i6)' + |9 + 8i| – 4(5+ 6i) v-36

A:

Q: Calculate: 4+ 3i (a) -1- 3i (b) (1 + i)(3 – 4i)(4 – i) = i(2 + 2i)³ | (c) (3 – 2i)² ||

A: Given that: (a)4+3i-1-3i(b)(1+i)(3-4i)(4-i)(c)i(2+2i)3(3-2i)2   NOTE: As per our answering…

Q: Assume that the population size of honey bees in billions at year t is hy, and the population size…

A: Deriving the explicit formulas:The recursive relationship for honey bees is: he+1 = 2he - 4, 87+1 =…

Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

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: 3. Find the roots of ( x2-1) ( x2 + 3x – 2)=0

A:

Q: Select your answer I-4 21² Simplify: 32-12 62 H|Co 21 x² I-4 3x 2213 (13 out of 20) 1

A: Topic :- Basic algebra

Q: What is the real number of z= -1 +2i ? Select the correct response: O Re (z)=1 O Re (z) = -1 O Re…

A: A complex number is a number of the form a+ib. It contains two parts, the real part and the…

Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

Q: 5. Simplify to a C. Write answers in the form a + bi a, beR (g) (1+3i)(1 – 4i) (h) (5 – 2i)(-1+ i)…

A:

Q: Simplify the following expressions: (5-j6)-(2+j8) (-3+ j4)(5-j)+(4-j6) (a)

A: To Simplify: (a) (5-6j)-(2+8j)(-3+4j)(5-j)+(4-6j). As per policy, only the first part is answered,…

Q: a. -5tiV13 b. x=ニ5tN -5tV13 C. X = 5士/13 d. x = 6. mplify: (4+ 2i) - (3- 5i) a. 7+ 7i

A:

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

A:

Q: 08. z, and 22 are the roots of the equation 422 + (1-1)2 + (3+2)=0. Without finding z, and z₂, find:…

A:

Q: 2こx+iy 2 Recz) =l 3-i1 if 121 =2, then

A:

Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

A:

Q: A) 1-2リ 1. =6 25 (1-2i)? (1+2i)²

A: We know that (i)^2 = -1

Q: [2-3i 5 + 8i 3 – 7i | 9. Find (2 + 3i) A if A = -4 L-6- i 5i

A: We can solve this as follows:

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

A: Use complex number concept

Q: Calculate the following. - 2+4 i (C) (-2+5 i) - 1- 5 i - 3+3 i 4+2 i 5+3 i (a) 2+ 4 i (b) - 5i - 3+3…

A:

Q: solve 5cos (2θ) = -3 over the reals

A:

Q: 2. [(x – 1) + 5][(x – 1) – 51]. Write the answer in the standard form

A: To write in standard form.

Q: . Simplify the expression, (4 – 3i)(-3+ 6i) – (2 – i). Show your work.

A:

Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.