Find the values that make the equations x1 + x2 + 3x3 = 3 x1 + 2x2 + 4x3 = 3 x1 + 3x2 + ax3 = b have infinitely many solutions, and find all solutions for these values of a, b.

Q: Solve: 7x -9x%3D 2x-5 5-2x O A. x= 3 O B. x=-,-3 OC.x=--3 O C. x=-. D. x=--,3 E. None of the above 6

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Q: The solution of +- is

A: Consider the given differential equation as dxdy+xy=11+y2. Here, the dependent variable is x and the…

Q: 4. Use Gauss-Jordan elimination to solve: 2X₁ + X₂ X3 = 1 5X₁ + 2X₂ + 2X3 = -4 3X₁ + X₂ + X3 = 5…

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Q: Solve  equation with master theorem  T(n) = 2T(n/2) + n2

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Q: Show that the equation x^3 + 6x^2 − 4 = 0 has exactly one solution p^∗ in the interval [0, 1].

A: We used Rolles theorem.

Q: Show that the equations xp- 4yq=0 and (32 +2z +1)(p+q)=x'(x+4y) compatible and solve them.

A: 1. Two partial differential equations of first order are said to be compatible if they have a common…

Q: 5- Solve the following linear algebraic equations using the Gauss elimination method: 3x, - 2x2 +…

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Q: 2. Find the roots of 3x -9x + 2 = 0. Solution: 3x2- 9x = 3(x2-3x + 19 3(x-, 4. X1 =- and X2 = 2. 3I2

A: To find: the roots of the given equation

Q: 12. Show that the equations p² +q? =1 and (p² +q³)x= pz are compatible and hence find its solution.

A: The equation are, p2+q2=1    ⋯1 And p2+q2x=pz                    ⋯2 To show that these equations are…

Q: 1.) Solve using Gauss-Jordan Elimination. -3x + 2y- 6z = 6 5x+ 7y-5z = 6 x + 4y - 2z= 8

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Q: 3. If AB = 8x + 5, CB = 10x - 1, and BD AC, 1 solve for x.

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Q: Solve 12cos2(w)−17cos(w)+6=012cos2(w)-17cos(w)+6=0 for all solutions 0≤w<2π0≤w<2π

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Q: Solve the following linear equations 2x, +8x₂+2x₂ = 14 6x, +6x₂-x₂ = 13 2x₁ + x₂ + 2x, =S using…

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Q: In vector graph

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Q: Solve for all solutions over [0,2pi): 2Cos(2x)-1 =0

A: The given equation in the interval [0, 2pi) is

Q: Solve these linear equations by Gaussian Elimination. 2w + x – y + 2z = 5 4w + 5x Зу + 62 - -2w + 5x…

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Q: Solve by Gaussian elimination. 2х1 + 3x2 — 2х3 + 2х4 — 2 3x3 – X4 = 6 - X1 — Х2 + 4xз — 2х4 — 7 Зx1…

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Q: Find all solutions of the equation in the interval 0, 27).

A: We know that, cos A + cos B = 2 cos(A+B/2).cos(A-B/2) Here, A= 2x B= x

Q: Show that the equation 3x+4y+5z=a, 4x+5y+6z=b and 5x+6y+7z=0 do not have a solution unless a+c=2b

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Q: 3 Find the general solution of i = Ax, where A = -8-

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Q: Solve using GAUSS-JORDAN ELIMINATION MATHOD ONLY. x- 2y-3z 0 x+4y +4z = 10 3x +7y +9z=4 -w-2x-4y-6z…

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Q: Solve by Simplex Method Subject to Max Z = 2x₁ + x₂ 3x₁ + x₂ ≤ 3 x₁ + 3x₂ ≤ 3 X1, X₂ 20

A: Given  Max Z=2x1+x2Subject to 3x1+x2≤3x1+3x2≤3x1,x2≥0

Q: Show that the equation √ (3 − x) = x^3 has a solution in the interval [−1, 2].

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Q: 1. (1-х)у' %3D у?

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Q: 3(x-2)+7x=1/2(6x-2) has how many solutions?

A: 3(x-2)+7x=1/2(6x-2) has how many solutions?

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax2 + bx + c = 0 is --…

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Q: 3 Find The solution of X-2x+2=0 Using reton raphsen-

A: This question can be solved using the concept of Newton Raphson method of approximation of roots.

Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Given,a,b,c are integers of the form 2k, k∈Na3+b4=c5

Q: solve in R: (x)-1" = (z-1)² 2x+1 %3D

A: The solution of the equation, f(x)=g(x) can be obtained graphically. The point where the graph of…

Q: 1/8x + 1/5y= - 31/20 7/8x + 5/8y = - 31/4

A:

Q: How many integer solutions are there to the equation x+y+z=10 if x, y, and z are all bigger than -2?

A: Given, x+y+z=10 x,y,z&gt;-2

Q: -0.4x2 3.2x2 -2x2 11x3 -0.9x3 2x4 X4 5x4 4x3 10x3 -0.4x4 -6.xs 7x5 4.8x5 6xs 6 = -2 ||||||||| 9 1

A: Given: System of equations -0.4x2+11x3+2x4-6x5=6 3.2x2-0.9x3+x4+7x5=-2 -2x2+4x3+5x4+4.8x5=9…

Q: -Use Gaussian elimination to solve +2x2 +x5 -1 -14 6x1 +14x2 +8x3 +18x5 -3 +3x2 +4x3 +2x4 -7x5 2

A: Gaussian elimination method: - The row reduction strategy for solving linear equations systems is…

Q: 7. Use the Gauss-Jordan Elimination Method to solve the equations below 3x + 4z = 5 x + 5y + 2z - 5…

A: Given equations are3x + 4z = 5       →(1)x + 5y + 2z = 5 →(2)7x + 2y + z = 2 →(3)

Q: Does the given pair of linear equation has unique solution, no solution, orinfinitely many…

A: Compare both the equation with general equation.Consider equation (1),

Q: enumerical solution is always zero c

A: First part : FALSE Second part: TRUE We have to find out the given statement is true or false.

Q: Does the given pair of linear equation has unique solution, no solution, orinfinitely many…

A: Given:

Q: There are two ways to construct an open box with volume 1500cm3 from a piece of cardboard that is…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 2tan(3x) + 3 = 1

A: subtract both sides by 3 divide both sides by 2

Q: Solve these equations with two unknowns by the method of reduction: 1.- 2x+4y=180 2.- 5x+8y=420

A: To solve system of linear equations with two unknowns, we multiply equations by appropriate numbers…

Q: Does the given pair of linear equation has unique solution, no solution, orinfinitely many…

A: Given, pairs of linear equation.

Q: =0, its solutions is: 3 %3D if | 3. x = - 4 + 2/5

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

Q: Prove that one solution of the equation                               2.00x4 - 3.00x3 + 5.00x =…

A: Given equation is 2x4-3x3+5x=70 --- (1) To prove that  x = -2.22 is one of the solution of the above…

Q: b- Solve with naive Gauss elimination X + 2x2 - x3 = 2 5x1 + 2x2 + 2x3 = 9 %3D - 3x, + 5x2 - x3 = 1

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Q: Use Gauss seidel method to solve 5x,+3xx+xy=4 3x,+2x2 - 6x3- 7 -2x, +4x;+x3=5

A: To solve: The system equations using Gauss Seidel method: 5x1+3x2+x3=43x1+2x2-6x3=7-2x1+4x2+x3=5

Q: What is the solution for the equation 2ydx+(3y-2x)dy=0 & say if what method of solution such as if…

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Q: 2.SOLVE BY GAUSS ELIMINATION METHOD 2X - Y+3Z = -3 3X +3Y Z 10 X-Y + Z = -4

A: