6 If Z = X+yi ,Z, =X,+y, i.where X, % > Xg Y ave real numbers and 1Z+z,=Z-Z, prove That L i s real number. O Evaluateo 2 3i 2 1-2i ノ 7 Solve ; o 2-3 i = Ja+bi ® (x -2y i )+(y-3xi) = 2+3i

Q: Q1) If A- ,B-3 13| Find (–1 x A) + (B+ C)

A: Given that,       A=411-2-193,  B=-5-134013,  C=75-6-19-1

Q: Solve for X such that 2XT - A = B + (CI)", where 21 3 -1 A =|-1 5, B = 2 2 -3 and C = -2 3 10 1. -7…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve for u. (u+3)² = 2u²+u+15 If there is more than one solution, separate them with commas.

A: Solution:-

Q: Which of the following equations is incorrect? L· (M × Ñ) = Ñ · (M xI) W × ( + P) = -(ỹ × W + P × W…

A: Consider the vector. X→×Z→×Y→=X→·Y→Z→-X→·Z→Y→

Q: Solve for X. [5 8 X. -7 5 -3 X + -2 3 -6 3 X = ||

A: Given, 5-13-6X+5-4-21=-383-7X

Q: 23. Given v4 = 7i - 3j and v5 = i +4j. Simplify the following. V4 + 4V5 a. (-11, 19) b. (11,-19) c.…

A: We are given that      V4 = 7i - 3j     V5 = i + 4j we need to find    V4 + 4V5 .

Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

A:

Q: If a, b, c are in GP, then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root…

A: Given a,b,c are in g.p So the ratio will be same ba=cbb2=acb=ac ---- {1}

Q: Find the set of real values of x for which a) > 3 by/2x- 3/ 0 13 Solve the inequality:x(x² – 6) >…

A: It is given that

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

A:

Q: Solve for X using AX = B or X = AB -54 2 0 3] A =|0 5 4 B = 12 3 2 0 32

A:

Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify.…

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: S(x² – 2),Wxdx = 2 4 B 2 4 D

A: We have to solve the given integration.

Q: Let A 1 0 6 2 -1 2 -1 4 5 and b 2 2 Solve the equation Ax = b.

A: Given: Let Matrix A=12-10-14625 and b=22-2. To Find:Solve the equation Ax=b.

Q: 26. A = 2î + 25 27. B = -2î + 2ĵ 28. Č = 3î + j y 24 24 1. -3 -2 -1 32 -1 -1 -3 -2 -1 3. 2. -1 -1 -2…

A:

Q: 1 nº 1 (2n-1) ( 2n + 1) 9. b. d. I

A: First we will do the partial fraction and find the nth term of the series as fractions then we will…

Q: 14] -3 Domain: Range: f(-3) = -2 1 0 2 -1 01 2 -1 -2 -3 -4 15] 4 -3 Domain: Range: 2 f(2)= -1 1 0 1…

A:

Q: Answer the question and gets thumbup plzzzzzz

A: here we use fermat little theorem

Q: Solve for z. 96+x O 6 10 6. 11 12 13 14 15

A: We have to find

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: The solution of 14 - x|>1 is Select one: O A. [-2, 5] O B. ]-00,-5], [-3,00[ OC.J-00,3], [5,00[ O D.…

A:

Q: v-102²³ 4. Solve Y for r.

A:

Q: * Q1 X1 +x2] 3 X1 4 X2 If 3 [x3 X4] [x3 + X4 1. x1 = -2, x2 = 2, x3 = -2, x4 = -3. 2. x1 = 2, x2…

A: We will perform the addition and scalar multiplication of matrices on both the sides. Then we will…

Q: 4. Simplify: (i – 1)² – (-i – 1)² + i*, i = v-1

A: Given: i-12--i-12+i4 ,  i=-1

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

A: Use complex number concept

Q: If Ax) = (x – 5)* thenf(x) equals A x-5e х — 10е 2r D 2r + 25 E 2х — 10е

A:

Q: What are the solutions of 10x +27x² – 55x - 12? 13土7i O x = -4, 10

A:

Q: 9. 12 (7x + 5) TW

A:

Q: B) If A=0 0 |1 0 01 ,1+0 1 0 prove that A- =(A² + (C + A) + (D + I) 0 0 1 1 C and D are constant 014

A: In this question we have to prove A-1=16A2+C*A+D*I where C and D are constant

Q: Which pair of equations are inverses of each other A =v- (( - 4)-- 2 4+2, gx)%= *+2, gCr) =(x-2F+3…

A: f(x) = 1-x -5 y = 1-x - 5 y + 5 = 1-x Squaring both side , y+52 =1-x x =1- y+52

Q: x² + 2x – 3 Зх + 12 - .2 x² + 8x + 16 x – 1

A:

Q: Which of the following is a solution of x2 – 6x = -22? O 6-iV52 O_6+iV13 O 3-i13 O -3+ iV52

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.