1. Select all the points that are solutions to 2x + 4y 20. A. (0,5) B. (0,10) C. (1,2) D. (1,4) E. (5,0) F. (10,0)

Q: Show that the equations x+ y +z = 4, 2x + 5y - 2z = 3, x + 7y - 7z = 5 are not consistent.

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Q: 2. List two points on each object. Z-5 a) X-3 _Y+7 = = 1 -2 4 b) 2x - 5y + z = 10

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Q: Find the solution set of x- 4y + 3z = 1. а. (1, 0, 0) b. (-2, 0, 1) с. (1 — 4s + 3t, s, t) d. (1 +…

A: We have to find the solution set of x-4y+3z=1

Q: Find the number of non negative solutions to x+y+z= 21. With the conditions that x < 3, y ≥ 2, z ≥…

A: Given that x+y+z=21 with the conditions x&lt;3, y≥2, z≥4

Q: Solve for X,Y and Z:  3x + y − z = 11x + 3y = z + 13x + y − 3z = 11

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Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: 14. If f(z) = 2 + z² – zª, then the equation S(x) = 0has a solution on the interval A [1,2] B (0,1]…

A: We will make use of the fact that for f to have a solution in an interval it must be that f has…

Q: Find the solution set of x-4y +3z = 1. a. (1, 0, 0) b. (-2, 0, 1) c. (1 - 4s + 3t, s, t) d. (1 + 4s…

A: Solution set of the equation

Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = -4 3x + y - 4z = -6 2x + 3y -…

A: a Given system of linear equation is x−y+2z=−43x+y−4z=−62x+3y−4z=4 Here, A|b=1−12−431−4−623−44 Here,…

Q: 3. Solve for the solution set using Gauss-Jordan Elimination x+ 2y = 0 x +y = 6 3x – 2y = 8

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Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: الوضوع Solve by simplex method the following.Linear prablem : Max Z= 2 Xx +3 Xz stabject to: - 1) X,…

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Q: 14. If f(z) = 2 + ² -r', then the equation S(z) = 0has a solution on the interval A [1,2] B (0,1] c…

A: Given equation, fx=2+x2-x3, To find the interval on which the equation fx=0 has a solution.

Q: Solve for x 16. 2x 5_ 5x - -= 17. z = x-u 3 6 19 & 20 Graph the Solutions 19. 2х — 1 <8-х 20. 4 – 2x…

A: 16. The given algebraic equation is, Now perform the following algebraic operations to solve for…

Q: ,solve x′= Ax by determining n linearly independent solutions of the form x(t)=eAtv.

A: We have to solve x'=Ax by determining n linearly independent solutions of the form xt=eAtv.…

Q: Find the extreme values of f(x,y) = 3x + 2y? subject to the constraint x + y? = 1.

A: Lagrange multipliers method: First, solve the following system of equations: ∇fx,y=λ∇gx,y. Then,…

Q: Which of the following is not a solution to d'y dr2 4y +1

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Q: Let (xp, y,) be the solution of the following equations In 2 (2x)™² = (3y)n3 3Inx = 2lny %3D Then xo

A: Given equations are 2xln2=3yln33lnx=2lny

Q: ,solve x′= Ax by determining n linearly independent solutions of the form x(t)=eAtv.

A: To Determine: solve x′= Ax by determining n linearly independent solutions of the form x(t)=eAtv.…

Q: ) Find the points of intersection between −4x − 8y = 2 and 2x = 8 − 4y. b) Find the points of…

A: Intersection of two lines

Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: 3. What is/are the solution(s) to the following quadratic function? y 10 7. 6- 5- 4- 3- 2- 1- -2 -1…

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Q: 2.a) Eliminate the Arbitrary Constants in the equation: y = 2C1cos(20) + C2sin(20)

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Q: Which of the following equations is the DE whose solution correspond to y = C1sin3x + C2cos3x + 9x²…

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Q: Find the optimal solution. MAX Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6 X ≥0 , Y ≥0 and an…

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Q: Verify that 3e-2x + 4e* is a solution of y'"'' – 3y' + 2y = 0

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Q: If A = x° yz? î – 3x² z³ j + yz? k , then a² A at the point (1,0, 1) will be дхду 3 î -3) -3 î

A: The vector A is A=x3yz2i-3x2z3j+yz2k find ∂A∂y=x3z2i+z2k ∂2A∂x∂y=3x2z3i the point 1,0,1…

Q: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

A: Introduction: When there is a non-zero function of the independent variable on the right-hand side…

Q: Find value of k in the equation kx+8y+11=0 if point X=(10,7) lies on this line

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Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = –-4 3x + y – 4z = -6 2x + 3y…

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Q: 18.) Which is not a point on the equation -2x - 3y + 5z = 7? a. (1,2,3) b. (-2,-3,5) c. (-2,4,3)…

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Q: 2: Show that the line equation passing through two distinct points (a1, b1) and (a2, b2) can be…

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Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

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Q: 22. Find the point of intersection between the following two lines. 4:x-2=-2 = z-3 and L:2į +3 j+ 4k…

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Q: 1. Select all the equations on which the point (10,0) lies. A. 5x +2y: 15 B. 2x +4y = 20 %3D C.x +6y…

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Q: 1. Show that y = c,x1 + c,x³ is a family of solutions of x?y" - xy' - 3y = 0.

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Q: (a) Solve the following linear equation by Cramar's rule:- x - y + 2z = -4 3x + y - 4z = -6 2х +…

A: We have given equation x-y+2z=-4 3x+y-4z =-6 2x+3y-4z=4 Matrix representation of equation  AX=B…

Q: Find a particular solution to 16.5e-2t t2 +1 y" + 4y' + 4y Yp =

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Q: Find the solution set of x- 4y + 3z = 1. а. (1, 0, 0) b. (-2, 0, 1) c. (1 – 4s + 3t, s, t) d (1 +…

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Q: 4. Find the solution for the following y""+y"+ 2y = 3 y(0)= 1, y(0)=1,y)=1

A: Solution :-

Q: Suppose that we wish to find the rest solution of the equation y" + 2y' + 10y = 10

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Q: + 25y = 19.5e^(-5t) c.) y'' - 6y' + 8y

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Q: Provide general solution of the given ay'' + by' + cy = 0and b^2 - 4ac &lt; 0

A: Solution: Consider the given differential equation is ay'' + by' + c y = 0 or aD2+bD+cy = 0   where…

Q: 5. How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x +2y+z=1? If there…

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Q: Verify that yp = 3e2x is a particular solutions of y" − 6y′ + 5? = −9e2x .

A: Explanation is given below...

Q: Is it true that the solution set for x ≥ 0 is placed above the y – axis?

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Q: Find a particular solution to -14.5e-3t y" + 6y +9y 12 +1 Yp = %3D

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Q: 4. Solve and write your solution as a parameter. x – 2y + z = 3 2x-5y +6z = 7 (2x-3y-2z = 5 -

A: The addition or subtraction method of the system of equations is a method to eliminate one variable…

Q: 2. Find the solution set of the following linear equations. (а) х — 2у — z%3D —2 - - (b) 3x – 7y =…

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