41 ivide: Write your answer in a + bi form 5 - 3i

Q: . What is the coefficient of a" in (2 – x)"?

A:

Q: Consider nonnegative integer solutions of the equation xi + x2 + x3 + x4 + x5 + æ6 = 30.

A: The non-negative integer equation is x1+x2+x3+x4+x5+x6=30Since ,xi-number varying from 0 to…

Q: 5) Find the fourth root of-4-4i.

A: To find the fourth root of the below complex number

Q: -2V-2 + 10

A: Given we know that conjugate of (a-ib)=(a+ib)

Q: (4ху? — 1)x2 + у(2x4 + у)у' %3D5; у(1) — 1

A:

Q: Express in terms of i. V- 121 V- 121 %3D (Simplify your answer. Type your answer in the form a +…

A:

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

A:

Q: -8+262 +7 +26 in standard form

A:

Q: Why the final answer is 4sin(1+x)?

A: To simplify 4 sin 5x cos 6x+4 cos 5x sin 6x.To justify whether the final answer is 4 sin1+x.

Q: O simplify as a+bi : (2i-13. * 2-i

A: Since you have not mentioned the question number. I am allowed to do only one question . To convert…

Q: Let (x1, y1) = (7, 2) and (x2, y2) = (1, -1). Find √[(x2 - x1)2 + (y2 -y1)2]. Express the answer in…

A:

Q: Solve the initi al value pro blem:s' (x)=Seckta nx-2X1F(0 23

A: Given: Initial value problem f'(x)=secxtanx-2x f(0)=3 Formula used: ∫secx tanx dx=sec…

Q: 11. 2x? – 5xy -y³ if x = -3 and y = -2 %3D

A:

Q: For А - 2аx + Зау + az and В %3 5аx - 2ау - az OAB is:

A:

Q: 7) Find the fifth roots for -16-16/3i

A: To find: 5th roots for -16-163i           ……1

Q: and B = %3D 3. Calculate-2A+B (: ) 3 6 -5 ...... ( ) 6 3

A:

Q: Rewrite the equation in Ax + By = C form. %3D Use integers for A, B, and C. 1 y=- 2

A: We can rewrite the given equation as below

Q: Find (3+2)^2 using identity.

A:

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

A:

Q: Express in a + bi form. 7+i 3 2i

A:

Q: a'+3ab? If 3a’b+b³ 3x°y+y' _ x³+3xy² X_ y Prove that a b

A:

Q: Find (4+2)^2 using identity.

A: 4+22

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

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

Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: Solve 2と ナ542 15 3x-6y=15 ansi- CX=8ツニーリ %3D

A:

Q: Solve the congruence x^3+19x^2-x+ 23= 0 ( 21).

A: In b) we need to solve the congruence  x3+19x2-x+23=0(21) this equation is in modulo 21 so by using…

Q: 2 + V-9

A:

Q: 2) x² + y² - 16x + 18y +96= 0

A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

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: Prove that the expression 2y2 - 128 is equal to 2(x2+2) (x² – 2) (x³ + 4x* + 16).

A:

Q: (22 -2) S +5x2+4) tan Evaluate da a2+2

A:

Q: What is the coefficient of x 9 in (x 3 + x) 5?

A: What is the coefficient of x9 in x3+x5.

Q: 2tanß 1-tan²B

A:

Q: ди ди ди AND az EXAMPLE: FIND əx' əy 5. 1= r2 + v2 + 72

A:

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: How many positive integer solutions are there to x1 + x2 + x3 =15 ?

A: From the given information we want to find How many positive integer solutions are there to x1 + x2…

Q: 2+31 ++8, Express the answer in rectangular form. B. Evaluate the expression C an

A:

Q: 259 17 8 --1 72 O xs-2 x2-2

A:

Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

A:

Q: Simplify 5 square root u^13 over u^5

A: We have to simplify

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

A:

Q: Simplify by expressing in the form a + bi i) 5+24 ii) (2+ V-3)(3+ -3) 3 iv) Jo -V-12

A: "Since you have asked multiple questions, we will solve the first question (number 5) for you. If…

Q: Prove that the expression 2y2 - 128 is equal to 2(x2 + 2) (x² – 2) (x³ + 4x* + 16)

A: a3-b3=(a-b)(a2+ab+b2)a2-b2=(a+b)(a-b)

Q: (b) Show that ii is real, even though i or 5i is not.

A:

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: