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: (a) Show that xn → x and Yn →y implies Xn + Yn → x + y and also show that an -→ a and Xn → ax. → x…

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Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: 2) vting daplace toansfóöre, Solve x" Zt)+4x'Lt)+3=(4) uing = 10 gint yeren that xco) = -3t Ans: ILt…

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Q: 2) By using the iterative formula x+1= and x, 1.5, then the value of x, is O 0.3652 O 1.3652 10 of…

A: Given That :  x2+4x=10 and  xn+1=10xn+1 is the iterative formula for the given equation in [1,2] and…

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+81 0, Show that the sum of the four roots of the equation is zero. b) Given that f(z) =z' + 8x+…

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A: To Determine :- The characteristics equation .

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: Let z = 8x2 + 7y2, and suppose that (x, y) changes from (2, -1) to (2.01, -0.98). (a) Compute Az. Az…

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A: To solve x+y=    8x-y=-2

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: The particular solution is (P) Yk - (Е — 3)-1(Е — 2)-13*. | Note that f(3) = 0; applying Theorem…

A: The given equation is, yk+2-5yk+1+6yk=3k......1fEyk=E-2E-3yk=3k...2 According to the given theorem…

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Q: M, N, and T are the midpoints of the sides of AXYZ. 2. If XZ = 10. then MN = 3. If TN = 7, then XY…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

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Q: 24. Find the first approximate solutions for -2x? + 4x + 2 = 0. 1 - and x = 3- 3 3 x = and x = 3- 3…

A: -2x2+4x +2 = 0Dividing Both the Sides by -2x2-2x-1 = 0Since the coefficient of x2 is 1Move the…

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A: Consider the given equations 2x+3y+z=-13x+3y+z=12x+4y+z=-2 The given equation can be written as AX=B…

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A: Note that f0=0 and that fx0=0. So using mean value theorem there must be some 0&lt;λ&lt;x0:…

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Q: 1. Using Gauss-Jacobi, compute a solution to the problem Ax=b where 2-4 7 3 2 49 -2 A = 8 7 b= 16 23

A: Given : A =2-4783249-2      b=71623                  AX= b To find : The solution of problem by…

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Q: 2 Test the distavnce formula fer froblem in Ex-© aboue unkarred coordnates ane (2,-1) and (2,-4) on…

A: Distance b/w (2,-1) and (2,-4) = ((2-2)2 +(-4+1)2)0.5…

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Q: 1. Lat A - [; : - and B = 2 2 1 3 4 (a) Compute AB. (b) Compute BA.

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Q: 1 In the interval -T, 7| the equation sin x = (a) has an infinite number of solutions O (b) has two…

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Q: 59 AM Thu Mar 4 * 69% + : 0 12. Find all solutions of the following equation on the interval [0,27).…

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Q: solution for some column b,

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

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Q: 1. (a) Suppose that x1 = -5, x2 = 36, x3 = Calculate the following quantities: 4, and y1 = -7, y2 =…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: General solution of 3 cot 0 = -V3, where n is an integer

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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: 2. (i) x²-12√/2 = 17 and (ii) y + y = 18√/3 1 a. Ifx-√√5=2 then find the value of x-- X b. From (1)…

A: A detailed solution is given below.

Q: (b) Show that V n 20 > (2i +3)3' = (n+ 1)3"+1. i=0

A: To Show- Show that ∀ n ≥ 0 ∑i=0n2i + 33i = n + 13n+1.

Q: Which of the following is a general solution to the followin x²y"+xy'+ (x²– 1)y=0 y=c,(x) +cY_,(x) O…

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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.