What happens to the equation x2 + y2 = r2 in a rotated x′y′-system?

Q: امتحان التقي يم الأول ل لمرحلة الثالثه ۲۰۲۰-۲۰۲۱ Q1- reduce the equation to system of first I.V.B…

A: Use rules of differential equation

Q: Use the method of substitution to solve the system.

A: To Solve: Use the method of substitution to solve: y=x2-4y=2x-1

Q: Solve the system d = dt with a1 (0) = 1 and æ2(0) = -1. %3D

A: The given system of differential equation: x1'x2'=   0-1-1   0 x1x2+t0  ;        x1(0)x2(0)=1-1

Q: Solve the system x-y-z= 2 , y + 3z = 5 , 5z = 10

A:

Q: 8. Explain why the system of equations "1 T 19 - is either dependent or inconsistant when azr + bay…

A:

Q: Solve the system equations 3x+y+2Z3D3 , 2x-3y-z=-3, x-2y+z=-4 using Jacobi's method

A: Given : 3x+y+2z=32x-3y-z=-3x-2y+z=-4 Now we solve these equations by Jacobi Method

Q: Solve of the system y + z 2t + 0. %3D 3x + 4y 1 + 3u 9t + t %3D - 8y + 5z -1 -

A:

Q: Use back-substitution to solve the triangular system. 4x y + 4z = 12 у + 4z = 0 -2z = 1 (х, у, 2) -

A: solution by back-substitution is given below..

Q: Solve the system: z = 8 x + y + 2z = 17 x + 2y + z = 16. Equation 3 x + Equation 1 Equation 2

A: Given: x+z=8 x+y+2z=17 x+2y+z=16

Q: Find all solutions of the given system of equations and check your answ Yx).) 0.4x + 0.1y = 0.6…

A: Solve the system of linear equations by elimination method.

Q: Find all the solutions of the system of equation x+2y-z=0,2x+y+z=0,x-4y+5z=0

A:

Q: Solve the system x' = Ax, where A = ). Then, show the solutions are linearly independent.

A:

Q: For this system of two equations y = cos² (x), x² + y² = x² = 2₁ - a. Plot the two equations and…

A: As per the policy, we are allowed to solve only one question at a time. So, I am answering the first…

Q: Solve the system: x + 2y - z = 5, 2x - y + 3z = 0 and 2y + z = 1

A: x+2y-z=5    →12x-y+3z=0   →22y+z=1            →3 Now, 2×Equation 1-Equation…

Q: Solve the system equations 10x+y+2=12 , x+10y+z=12, x+y+10Z3D12 using gauss elimination method

A:

Q: Find the equation of the system of surfaces which cut orthogonally the system of surfaces x =10y²…

A: Here finds the equation of the system which cut orthogonally the system of surface x2 = 10 y2 + C z2…

Q: Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan…

A:

Q: Solve the homogeneous system of equation а — 3Ь + 7е%3D 0 - с — 2е — 0 d — 10е — 0

A:

Q: 1. Solve the following system of equations, representing your solution parametricairy x₁ + x₂ + x3 =…

A:

Q: Now consider the case when the parameter varies slowly in time , that is consider the system…

A: The two equation in dynamical system which varies with time is…

Q: By using back-substitution to solve the systems x – y = -1, 2y + z = 2, 2x – y – 3z = 3;

A:

Q: Q1- reduce the equation to system of first I.V.B yih -4y" + 4y" = 0, y(1) = -1, '(1) = 2, g'(1) = 0,…

A: See the details solution in below

Q: Solve the system equations 2x-6y+8z=24 , 5x+4y-3z=2,3 x+y+2z%3D16 using Jacobi's method

A: Given system of equations are                                               now…

Q: Write out the matirx equation for this given system of equations 250 - y n 5z + 3y 350 - 7z + 4y 200…

A: To find the matrix equation

Q: Find solutions of linear system 3x'+2y'-x+y=t-1…

A: Given a linear system, 3x'+2y'-x+y=t-1    ⋯⋯1x'+y'-x=t+2    ⋯⋯2 From equation (2), y'=-x'+x+t+2…

Q: Find the best approximation to a solution of the linear system 2.x + y = 1 x – y = 2 | x + 5y = 3

A:

Q: Solve the system equations 5x-y+z=10 2x+4y-12 x+y+5z3-1 using gauss-Seidel method starting with…

A: Gauss-Seidel method is an iterative method used to solve a system of equation in n variables.…

Q: Solve the systems of linear equations over the indicated Zp. x + 2y = 1 over Z3 x + y = 2

A: x+2y=1 x+y=2 over Z3

Q: Ql- reduce the equation to system of first I.V.B yih-4y" + 4y° = 0,_y(1) = -1, '(1) = 2, y'(1) = 0,…

A: Differential equation

Q: Solve the system. 3x + y - 2z = -4 %3D 2x 3y + 2z = 11 x + y + z = 3 о (0, 9, 25) о(3, 5, —5) о (1,…

A: Solution: The objective is to solve the given system

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y? - 2X + C.…

A:

Q: Solve the system: {x +y+ z =0 {-x+ 2y+ 5z = 3 {3x - y = 6 (x, y, z) =(

A: Solve the system.     x+y+z=0-x+2y+5z=3  3x-y=6

Q: Solve the system. 5) y+3z + Z = -1 %3D 4x X + 3y + Z = 11

A:

Q: find the solution of the system of linear  equation over z3 x+2y =1 x+y =2

A:

Q: Solve the system. 4x + 4y - z = 38 x+ 6y + 2z = 19 4x + y +z = 39 O A. {(9,2,1)} O B. {(-9,1,18)} O…

A: 4x+4y-z=38→(1)x+6y+2z=19Multiply above equation with 44×(x+6y+2z)=19×44x+24y+8z=76→(2)and now given…

Q: Use the method of substitution to solve the system.

A: we have to use the substitution method to solve the system. y=x2+1x+y=3

Q: Solve the system (x,y,z) 4x − 3y + 5z = 25 2x − 5y − 3z = 21 −4x − 6y + 7z = 23

A: The given system of equation is,

Q: Q1- reduce the equation to system of first I.V.B yol -4y" + 4y° = 0, y(1) = -I, y(1) = 2, y'(1) = 0,…

A:

Q: Explain the Nonhomogeneous Linear Equations ?

A: The system of the equation can be written as Ax=b or…

Q: Solve the system equations 54x+y+z=110, 2x+15y+6z=72,-x+6y+27z=85 using gauss -Seidel method

A:

Q: Solve the system: x + y + 2z = 19, y + 2z = 13, z = 5.

A: System equation is can be solved by solving the equation by subtracting and adding or by multiplying…

Q: Q1- reduce the equation to system of first I.V.B yih -tAy" + 4y" = 0, y(1) = -1, '(1) = 2, y'(1) =…

A:

Q: Find all solutions to the system of equations 2у — z + Зw %3D 1 х+ 2у —3z — 7 - -x + y + z + 2w = -4

A: