3 2. If B = 1 show that B? - 5B+7I =0 [-1 2]

Q: 2. Find the values of x that satisty the equation x' + 12x + 36 = 0. x + 12x + 36 -0

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Q: 14.Let A= 3+2i 0 2 1+i 1-i B-( + ?) and B= Find AB.

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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: 2.4 Solve for x: a) In(x + 1) = 9 b) 3e - 1 =

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Q: verify the given equation. 16.∞∑n=0an(x−1)n+1=∞∑n=1an−1(x−1)n

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Q: 127% 10. If NS = 2x +7 and SQ = 5x- 23, find NQ. %3D SA-2 2×+7ニ5メ-23 Q R

A: 10. Consider that the diagonals bisect each other in the parallelogram. Then, NS=SQ  2x+7=5x-23…

Q: 5. If Z1 = V3 - 2i, Z2 = -i+1 and Z - 3= 4i – 2. Evaluate (i) Re{3Z -5Z +2Z}} (ii) |(1+ Z, + Z3)(i –…

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Q: 2: Given z1 = 2 + i and z2 3-4i , find Z1 in the form of a + ib. Z2

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Q: : 2 < x < 4} and B = {x € R : –4 < x < 1}. Prove

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Q: O show that 2. I| a+ V 1= 11 + 1i if and only if ū. ů =0 %3D

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Q: Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2).

A: Given query is to find the value of x.

Q: Suppose z = 5+ –2i and w = -5+ –4i. Then Im(zw) =? %3D

A: zw=(5+ -2i)(-5+ -4i) Implies zw= -25+10i - 20i + 8i2 Implies, zw= -25 - 10i - 8  [since i2= -1 ]…

Q: 16. The roots of the equation x+ 2px + q = Odiffer by 1. Show that p q - 4.

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

Q: 3. Show that (1+i) = 2i

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Q: Solve the following; (a) e2-3z = 6 (b) In(2. + 5) = 4 2 dr %3D %3D

A: (a) Given equation is: e2-3x=6 To find the value of x.

Q: 5. If Z1 = V3 – 2i, Z2 = -i+1 and Z3 = 4i – 2. Evaluate (i) Re{3Z} – 5Z7 + 2Z}} (ii) |(1+ Z2+ Z3)(i…

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Q: 1. Given that z1 = 3 + i, z2 = 4 – 3i, z3 = -1+ 2i and z4 = -2 – 5i, find 21+z2 Z3Z4

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Q: 11. Show that 1 + 4i is a root of the equation 2z3 - 3z2 + 32z + 17 = 0. Hence, find all the roots…

A: Answer

Q: -6 14 (-7 15 , 18. Solve for X, if X³ = (). 0 2 Ans. X = -1 3

A: We are given that for a matrix X, such that X3=-614-715. We need to find the value of X. Let X =…

Q: If A= B = verify that A(B + C) = AB+ AC. :) 1 If A = 2 and B show that (AB)" =B'AT 4 -1

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Q: 2) × if it was 2+4i and 2=3-1 3+1 2+i 2 prove that x² + 3xy + y² = 6 =

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Q: 6/ Find the value of k wherex 1, for which the two equations kx? + 2x + 1 = 0; x + 2x + k = 0 have a…

A: As per our guidelines, we are supposed to do only 1 question. Kindly repost other question as the…

Q: Let A={mez: m = 2a for some aeZ}, B= {mez: m = 2a for some aeZ}. Show that A=B. (need to show A≤B…

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Q: 38) - con A) 0 sec B) 5π T, 13л 5т D) 0 3 12 12

A: Find the value of x which satisfy sec(x/2)=cos(x/2)

Q: e solution to the equation below. 3 -3.1x +7 - 7.4x = 1.5x – 6 x %3D vork.

A: Given equation is -3.1x+7-7.4x=1.5x-6(x-32)7-10.5x=1.5x-6x+1827-10.5x=-4.5x+9

Q: 3. Solve the following s 3y² – x² = 11 x² + 2y? = 4

A: 3y2−x2=11 — (i)x2+2y2=4 — (ii)(i)+(ii)Then3y2−x2+x2+2y2=11+4⇒5y2=15⇒y2=3⇒y=±3by (ii )x2=4−2y2and…

Q: If AC = x + 11, and AB = 23 solve for x. %3D

A: Given that     AC= x+11  and AB= 23 We have to find the value of x.

Q: 24. Find the first approximate solutions for -2x? + 4x + 2 = 0.

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Q: 17. Find all values of where x? – 6xy+ 8y² = 0, and x # 0.

A: we have x2-6xy+8y2=0, and x≠0 Now,  x2-6xy+8y2=0x2-2xy-4xy+8y2=0xx-2y-4yx-2y=0x-2yx-4y=0

Q: Solve for x if there is more then one solution separate with commas 3x^2+15x=0

A: Given query is to find the values of x .

Q: 14. Find all solutions to 2sin(5x)-3V3 =-4/3. State exact values only. %3D

A: Given equation, 2sin5x-33=-43

Q: Suppose z-2z +x=5, What is the value of y ? | - 3 3 0 3i nim

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Q: The sum of values of x for which the equation x0929 + x. 3o92 * = xl092 15 holds true is

A: The graph is shown below:

Q: 3 1 If A = show that A²- 5A + 7I = 0. %3D -1 2

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Q: 3 If A = 1] show that A² - 5A + 7I = 0. %3D %3D -1 2

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Q: following formulae 3 1. an 2. a, = (-1)" n In -1) 3. an =3 (-) %3D

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Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: 4. If A = 2i - 3j + k and B = -3i – 4k then A B = F O O

A: We have to choose the correct answer from the given option according to the given condition

Q: 7.For which value of k will the roots of 2x + kox+1 = 0 be real? .2 1) 1 2) 2 3) 3

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Q: 4 and for n > 3, an 2an-1 + an-2 + 5n, express an in terms of n %3D 2. Let, a1 = 3, a2

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Q: 5. If Z1 = v3 – 2i, Z2 = -i +1 and Z – 3= 4i – 2. Evaluate (i) Re{3Z – 5Z} + 22Z}} (ii) |(1+ Z2 +…

A: GivenZ1=3-2iz2=-i+1z3=4i-2then z32=( 4i-2)2 Apply Perfect Square Formula:  a-b2=a2-2ab+b2a=4i,  b=2(…

Q: Suppose z = -18 + 14i and w 16 + -13i. Then Re (z + w) =? %3D

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Q: -1 3 -6,Compute A-5I,. 9. Let A=-8 7 -4 1 8

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Q: Σ 2n+1 3h 1 19 n=1 bh 4n+1 4

A: We proceed on to simplify the given series as  ∑n=1∞2n+1bn+3n4n+1=1942∑i=1∞2bn+14∑i=1∞34n=194

Q: 10. Find the general solution of xyuxy + yu, = 4xy2 +3. %3D

A: Partial differential equation.

Q: as Solve for a: R = a + s

A: To solve for a:R=asa+s Solution: R=asa+s On simplifying further we get: R=asa+s⇒R(a+s)=as        (on…

Q: Show ther' 3 2

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Q: Find a number 8 such that if |x – 2| < 8, then |4x – 8| < ɛ, 11) where ɛ %3D 0.01.

A: Ffind the delta