3.7 Consider the linear algebraic equation 2 -3 -1 -1 3 2 HE] X =: y It has three equations and two unknowns. Does a solution x exist in the equation? Is the solution unique? Does a solution exist if y = [1 1 1]'?

Q: 1. Linear Equation 3x1 t x² 2x1 + 4x² + x³ = 12

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Q: Solve for x.  Solve for y.

A: Given:

Q: T-200N =20kg (a) – eq.1 2T- 228N= 15kg (a) -eq. 2 SOLVE FOR T and a.

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Q: 1. Solve the equation z2 + 2z = -1+ 6i ; [Let z = x + yi]

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Q: Solve for y. 2y² + 7y−13= (y+ 1)² If there is more than one solution, separate them with commas. y =…

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Q: 3. X+Y)/4=5Z

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Q: SOLVE X²y" + xy² - (4x² + 1 ) y = =0 BY BESSELS METHOD.

A: As per the question we are given a second order linear homogeneous differential equation and we have…

Q: (2x?t - 2x3) dt + (4x3 — 6х?t + 2xt?)dх 3D0

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Q: A) Find the values of x and y that satisfy the equation: In(3 + j4) +7+1²2= j(x − y) + (4x + j2)…

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Q: ?The Third Equation for i3 7in+12i3-=-3-O 5i1+12i3=0- Zir-4i2+16i3=-3- 0

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Q: Find the general solution. You must use DeMoivre's Theorem. No HOW WORK. y(8) + 2y(4) + y = 0

A: Using Demoivres theorem to find the complex root of the auxiliary equation.

Q: in each variable. In each case, the exact solution found using 2. 2x, + x2 = 5 X, - x2 = 1 17 13

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Q: 3.Eliminate the arbitrary constant on the given equation: asiny - xy-3 = C 4. Eliminate the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y=x³, 0≤x≤ 2

A: We have to find the area of the surface by rotating the curve about the x-axis.

Q: S 10х T U бх + 3

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Q: Solve the following simultaneous equations 3z +io=1 z+(1-i)@=2

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Q: y = C₁x² + C₂e -X

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Q: X=4/5y Y=3x+7 Solve using substitution. (X,y)= ( )

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Q: 3. Solve the Linear Equation What is the solution for x? * 231x + 36y = 27 %3D x = 35 + 12k O x = 45…

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Q: 3. For any 1 rsn-1, the value of "C,- 2 "C+3 "C,2-4 "C, 3+ +.. + (-1) (r+ 1) is equal to (A) C, (B)…

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Q: Consider the equation r/r + y +y² = 8. X- (i) Find all values of x which satisfy this equation when…

A: The given equation is  xx+y+y2=8

Q: (a) (2x+5y=-4 (Use Elimination-by-Addition.) 13x-2y-13 [y 1-3-2x (b) (y=x² (Use Substitution.)

A: Solve for (x, y) as indicated; use ordered pairs in the answers (see attached)

Q: In the competition model for two species with populations N1 and N2 N2 b12 K1 dN1 N1 dt K1 dN2 N1 =…

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Q: I need help filling in the blanks  There are four blanks. The first three blanks represent the x,…

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Q: Which of the following is not an equivalent equation to 3x - 4y + 1 = 0? A B 4y-3x-1=0 C y= 3 1 4…

A: Let's find not an equivalent equation to 3x-4y+1=0.

Q: y? (x² + 1) x(y2 + 1) 4. Solve the IVP y = y(-1) = 3. You may leave your answer in implicit form.

A: We need to solve the differential equation.

Q: Solve for x and y. x + yi = 3 e2j +4e-2j

A: Given complex number - x+iy = 3e2i+4e-2i             ...........(1)We know that,eiθ = cosθ+isinθ…