Using [x1 x2 x3] = [1 3 5]as the initial guess, the value of [xi x2 x3] after three iterations in Gauss-Seidel method for: 12 7 3 X1 2 1 5 1 X2 5 7 -11 x3 6. II

Q: 1 5 Given f(x) = x + 1, a = 0,b = 4; n = 3; 4x₁ = 1, 4x₂ = 1,4x3 = 2; x† = 1₁x₁ = 7,x² = 3, find the…

A: Consider the function

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: x³ dx Evaluate using two different methods 1– x²

A: This indefinite integral can be solved by the following two methods : 1. Trigonometric substitution…

Q: Find the zeros of each of the following by factoring: (a) 8x +12x 0 (b) 2x-12x-54 0 (c) x+2x-63x 0

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Q: Find the critical numbers of the functions. a) f(x) — х2 + 4х b) f(x) — х3 —7x? — 5х с) f(x) 3 2x3 -…

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Q: Max Z=3 x1+2 X2 s.to -X,+2x2 <4 3x1+2x2 S14 using Graphical Method X1-X2 S 3 X1 , X2 20

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Q: (b): Evaluate: SS (16t³ – 12t² + 5)dt

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Q: (8-j8) x + (3-j2 ) y + (7 - j9 ) z = -9 + j7 ( -4 - j7 ) x + ( 1 - j1 ) y + ( -2 - j4) z = 9 - j6 (…

A: This is a problem of linear transformation.

Q: We have considered the case of regular deposits at the end of each month. If deposits are made at…

A: Deposit at the end of each month: Time period:  yearAPR: Balance after  deposits

Q: x² – 2x – 15 57. x? — бх + 5 х? — х — 12 - x – - - x² – 1 -

A: 57)x2-2x-15x2-6x+5÷x2-x-12x2-1

Q: Let x be the number of teachers among 3 people selected randomly from a group  consisting of 3…

A: Probability: Probability is the ratio of favourable outcomes to all other potential outcomes of an…

Q: 6 - 1 2 Compute A - 31I, and (312 )A, where A = - 5 4 - 5 - 3 1 2

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Q: For which k is the residual term when q (x) = x17 -kx15 + (k-2)x10 + 2x + k2-2 is divided by x-1…

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Q: 1) Factor f(x) = 2x3 + (-3-2i)x? + (-3- i)x + (2 + i) into linear factors 2 +i is a zero of the…

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

Q: [a + 9   5z+1   9m]       [10a    9z    6m]        [20     -55    135]…

A: Given that: a+95z+19m9k35+10a9z6m8k35=20−5513568610 To find the value of a, z, m, and k.

Q: If P(x)=x* +ax° + bx? + cx +d and P(1) =P(2)=P(3)=0 then the value of P(4)+P(0) is (A) 28 (B) 4 (C)…

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Q: V5 – 1 Given x = find x4 + x3 +2x – 1. 2.

A: Given, x= (√5 -1)/2 = (2.236067977-1)/2 x= 0.618033988

Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Methods of Undetermined…

A: Given: Given differential equation is y'''-4y''+2y'-8y=6ex-x2+1 We will solve this equation using…

Q: x + 1, then find the value of a. The polynomials ax - 3x² +4 and 2x - 5x+awhen divided by (x – 2)…

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Q: A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey…

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Q: from the first principle defferentiate h() = 5x³²x+7 2² +2+1

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Q: 2 guestion 12 If for all real values of x, (x + c)(x + 4) = x´ + 8x + 4c, then c = ? eport Issue…

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Q: 2x₁x₂ + x3 = -4 (8) 3x1 - x2 + x3 = −6 −6x₁ + 3x₂ − 3x3 = 12

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: √√x²+2x dx= Select one: a. None of them b. (x + 1)√x² + 2x - 1 In ( x + 1 +√x²+2x() + C C. 1 +In 1 1…

A: The integral we are trying to solve is ∫√(x²+2x) dx. This is a non-standard integral and requires…

Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Q9. (a) (i) Calculate (2 + i√5)(√5 - i). (ii) Hence verify that (√5 - i) is a root of the equ

A: (a) The given expression is 2+i55-i Multiply the terms in the given expression…

Q: Compute 6x3 + 4x2- 7x + 40 dx. x2 7. 80 + C x2 40 3x2 + 4x- 7In|x| + + C O 18x2+ 8x-7+C 2x 40 O 3x2…

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Q: It was determined that P(B) = P(A₁B) + P(A₂B). It was previously found that P(A₁B) = 0.2 and P(A₂B)…

A: According to the given information, we have P(B)=P(A1∩B)+P(A2∩B)

Q: Then by using "Newton's interpolating polynomial method", the scientist got the following polynomial…

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Q: Select all the expressions that are equivalent to (3z + 2) (1 – 4) for all real values of x. A; 3z²…

A: We have to select the expressions that are equivalent to given function. This problem can be done…

Q: 3) 4) Find g(3) for g(x) = √-x5. Find p(-x) for p(x) = x³-√1-x .

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Q: Given w(x) 5a +6 and z(x) = 3x – 4, evaluate the following. %3D %3D (a) (w o z)( – 1) = %3D (b) (z o…

A: Consider the given information. wx=5x+6zx=3x2−4 Find the composition of the function as,…