5. Simplify to a C. Write answers in the form a + bi a,beR (a) 3i + 5i (b) 6+ 2i – 5 (c) (6+ V-4) + (-11+ V-9)

Q: (b) Show that i10 is real, even though i or 10i is not.

A:

Q: 17. Express 4xi + 5yi + 6xi? + 2yi“ in simplest a + bi form.

A:

Q: Evaluate: Ei°(3n + 7) = [ ? ]

A:

Q: (1+i)·(10260°) (3–7i)+(9/120°) . Express your answer in rectangular form.

A:

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

A:

Q: [20] Find the general solutions of 4y" – y = 8et/2 2+ et/2

A:

Q: 7. Evaluate jir de 1 2 + 2x2 Solution;

A: Topic:- definite integration  Note:- as per our guideline if more than one question uploaded than…

Q: (b) Show that i0 is real, even though i or 6i is not.

A:

Q: 11 > 5i2 + 4 i=1

A:

Q: 5. Simplify to a C. Write answers in the form a + bi a, beR (m) (6- 5i)2 4+i (n) 3 – 2i 5+ 3i (o)…

A:

Q: If A = -2 - 3i, and B = 3 + 4i, what is AB?

A:

Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: Solve the given differnetial eqation by undtermeind coefficients: y'' -4y = (x2 - 8)sin(2x)…

A:

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: Show that x = 2 +3i is a solution to the equation x2 - 4x + 13 = 0.

A:

Q: Solve this question 2xy = (y)² + 1 Where y is absent

A: Given 2xy'y''=(y')2+1. We have to solve the given second order differential equation.

Q: х3 — 2х? - 5 %3D0, [1,4]

A: Sol

Q: 5. Simplify to a C. Write answers in the form a + bi a, b eR (i) (3 – 5i)(3+ 5i) (k) (3 – i)? (1)…

A:

Q: If A = -2-3i and B = 3+4i. what is A/B

A:

Q: 7. If P = -6+ 7i, Q = 5+ 9i, & R= -1– 2i, where i is an imaginary number, please find PR

A: Complex number

Q: Calculate a · (b+c), if a = 4i+5j, b = 3i– 6j and c = -8i+2j.

A: Given: a=4i+5jb=3i−6jc=−8i+2jfind:a.(b+c)

Q: nd a, b e R such that 4 5 a + bi 1- 2i i - 2 i- 2

A:

Q: (2+31) Simplify (7-4i) 16)

A: We have to simplify the following -  (2+3i)(7-4i)

Q: a+bi 26 19) Expressed in form, 2-3i is equivalent to

A:

Q: what Is the gimplest form of 5i (1-i) (2-i) (3-i) a. -10i -5/3 C. b. -8i d. -V½

A:

Q: AS: の4+o4i (3-i)(I-2i) (2+i)(1+2i)

A:

Q: What is the equivalent to the following expression in the form a + bi? (8+9i) – 3i[2i – (4- )]

A:

Q: 4. Simplify 3- 2i / 1+i into the form a + bi 5. If 2 - a – 5i / (1 – bi) = 3 – 5i, find a and b

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: What is the value of (3+2i)³ + (3- 2i)6

A:

Q: 2. Perform the required calculations and express your answer in the form a + bi. a) (1 + i )6 c) 3-…

A:

Q: (24t³ – 30£-³) dt

A: ∫xndx=xn+1n+1+C

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

Q: 9. Find (2+31) A if A= [2-3i 5+8] -4 1-6-i 3-7i 5i

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

Q: If 2-a-5i/(1-bi) = 3 - 5i, find a and b

A:

Q: Solve the following iñitial + 6y = 2t %3D with y(1) = 2.

A: We need to solve the differential equation tdydt+6y=2t ; y(1)=2

Q: 5łn(cosh(3+j6))

A: Here 'j' represent imaginary number. Some power to imaginary number are as follows:…

Q: Simplify as a+bi : (2i-13. * Solve: @ Z-2구=0 O= 18-Z @ 7-3- Z

A: 9. 2i-1242-i+2-i1+isimplify it in the form of a+bi 10. a)z3-27=0 b)z4-81=0 simplify it

Q: 2 сх3/2 y dydx Ji Jo 2 X

A: Given integral,                           ∫12∫0x3/2yx2 dy dx

Q: When simplifying 3i23, Tatiana got -3i. Organize the following steps in your checking of Tatiana's…

A:

Q: b) Im 1-7i 2+5i,

A:

Q: Evaluate and express in rectangular form: (1 + 2i) (4 - 6i^2) *

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: neN' Ë (2i –1) =n²

A:

Q: If (a + bi)? 33 + 56i (a-bi)(2-i) Find (2+i)

A:

Q: If one of the roots of ax^2 + bx + c is 2/3 + 5/9i where a, b and c are integers, what is the value…

A: Explanation of the answer is as follows

Q: 5 Solve for x in simplest a + bi form: x+ 8x + 25 0

A: The quadratic equation is given by x2+8x+25 = 0 To evaluate : The value of x

Q: 2.) Evaluate (3-4i)(2 + 5i) 10/60 + 20/-45

A:

Q: (5) Yz-3-4i, what is in standard form a+ ib?

A:

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