• S:= {(x,y) : x+ y > b, x > 0 integer, y > 0} • S:= {(x,y) : x + y > b, x > 0 integer} • S:= {(x, y) : x+ y 2 b, x > d integer} • S:= {(x,y) : x +y > b, x > d integer, y > 0}

Q: Maximize p = x - y + z + w subject to x + y + z< 5 y + z + w s 5 x + z + w s 6 x + y + w< 6 x 2 0, y…

A: given maximize p=x-y+z+w  subject to x+y+z≤5y+z+w≤5x+z+w≤6x+y+w≤6where x,y,z,w≥0 to find - value of…

Q: solve the systems of equations.

A: To solve the system of equations  we have to look for the equation with one variable and solving the…

Q: Maximize p = 10x + 10y + 15z subject to x  −  y  +  z ≤ 13 2x  −  2y  +  z ≥ 15     −y  +  z ≥ 5 x ≥…

A: The given problem is: Maximize P=10x+10y+15z Subject to x-y+z≤132x-2y+z≥15-y+z≥5x,y,z≥0

Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

A:

Q: roblem 1. useGauss-Jordan elimination and determine the type of solution. y – z = 0 x – 3z = -1…

A:

Q: 10 -6 -5 -4 -3 -2 -i 0 23 456 -1- -2 -3 of equations: y =x 3.

A: From the given data: The system of the equations are: y=x y+1=2x

Q: Minimize c = x + y + z + w subject to 5х - у + w 2 9,000 z + w s 2,000 x + y 300 x 2 0, y 2 0, z 2…

A: The given problem is:

Q: A system is described by the difference equation y[n]-0.2y[n-1]-0.8y[n-2]=0, y[-1]=1, y[-2]=1 Find…

A: Given a system in the form of difference equation : y[n]-0.2 y[n-1]-0.8 y[n-2] =0 ,…

Q: Minimize f(x,y,z) = x² + y+z subject to the constraint that x+y+z-9 = 0 + z* subject to the…

A: by using lagrange multipliers  methood

Q: . General Solution of x4y' = -x3y-csc(xy) is

A:

Q: Minimize c = 4x + y + 5z subject to x + y + z 2 70 2x + y 2 50 y + z2 50 x 2 0, y 2 0, z 2 0. C =…

A: The given constraints are  x+y+z≥70, 2x+y≥50, y+z≥50 and x≥0, y≥0, z≥0. Obtain the coordinates x, y,…

Q: How to find the particular solution of y' = x+y? It will be really helpful if youp pleaseexplain me…

A: we can find particular solution of differential equation in the following way:-

Q: 8. Maximize Z = 0.5x –0.3y Subject to x- y >-2, 2x - y<4, 2x+ y = 8, *** x, y 2 0.

A:

Q: 10. Particular solution of y"-4y' + 8y = x³, when x = 0, y = 2, y' = 4

A: We have to find the particular solution of y''-4y'+8y=x3,  when x=0, y=2, y'=4.

Q: [2 4 1 8 3 2 4 18 3 1. 1 7 |Find all special solutions to the system Ax = 0 where A = |2 4 1 8 0 0 6…

A:

Q: The proprietor of a lemon drink stand is trying to create the perfect summer lemon drink by…

A: Here two drinks are trying to mix to get a perfect summer lemon drink. Given that second lemon drink…

Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

A:

Q: how that this model has an unbounded solution by Big M Method. Max Z= 3x1 + 6x2      s.to 3x1 +…

A:

Q: The economy of Northern Saskatchewan is in equilibrium when the system of equations 2xz + xy + z –…

A: Given - The economy of Northern Saskatchewan is in equilibrium when the system of equations 2xz + xy…

Q: Minimize ƒ(x, y, z) = xy + yz subject x2 + y2 - 2 = 0 and x2 + z2 - 2 = 0.

A: We will make use of the method of Lagrange Multiplier. Please see the primer below:

Q: Maximize p = 5x − 4y + 3z subject to 2x + 2z ≤ 100 5y − 5z ≤ 50 2x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥ 0.…

A:

Q: 10-According to the method of partial fractions, there is an equation of the form Bx +C dx A Dx +E J…

A:

Q: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80 2x + y ≥ 50 y + z ≥ 50 x ≥ 0, y ≥ 0,…

A: To solve the given linear programming problem: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80…

Q: Maximize p = /x + 5y + 6z subject to x + y - z s 12 x + 2y + z 0. p = (х, у, 2) %3D (|

A:

Q: 4. Use th shooting method to solve 2+ 1 y(0)- 1. y(2) = 1.

A: Given: The given equation is y''=y22+xy(0)=1y(2)=1

Q: 1. we are making 3 products (X1, X2, and X3). The products require assembly, machine process 1,…

A: According to the given information, it is required to solve the LP problem.

Q: Minimize c= x + y + z + w Subject to + w > 2,000 + w 0, w 2 0. p = (х, у, z, w)

A: (1).

Q: 1. Minimize z = 3x, + 4x2 subject to x, + 4x2 > 8 2x1 + 3x2 2 12 2х, + х, 2 6 х, 20, х, 2 0. 2.…

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

Q: Maximize p = 6x + 8y + 4z subject to Зх + y + z 0, z > 0. p = (х, у, 2) %3D

A:

Q: Maximize p = 4x + 5y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0 p= x,y,z=

A: x,y,z= 0,150,0 p= 750 Normally these methods are solved by simplex methods but this question can…

Q: minimize c= -x+2y subject to y or equal to 4 x> or equal to 6 x+ y < or equal to 16

A:

Q: 45x + 15y ≥ 75 15x + 30y ≥ 75 15x + 90y ≥ 135 x ≥ 0,    y ≥ 0 Label the coordinates of all vertices.…

A: Considering the equations, we have:- 45x + 15y ≥ 75 -(i) 15x + 30y ≥ 75 -(ii) 15x + 90y ≥ 135…

Q: 3. What is the particular solution if y(1) = 0 • xy' = y+ (x² + y²) ||

A: Given:- xy' = y+(x2+y2)1/2 y(1) = 0  To find:- Particular solution of given differential equation

Q: 5. What is the particular solution of " 2xyn = 1+y, when a 2, y = 3 y = V5x – 1 y = V3x + 2 O Option…

A: If (x,y) is a solution point of a differential equation, then the solution point must satisfy the…

Q: 10. Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

A: To find the particular solution of given differential equation :-

Q: Maximize P = xyz subject to x + z = 12, y + z = 12, x ≥ 0, y ≥ 0, and z ≥ 0

A:

Q: 8- Consider the following boundary value problem Uxx = x2, 0<x < 1, u(0) = u(1) = 0, 1 h = - By…

A:

Q: Minimize c = 4x + y + 2z subject to x + y + z ≥ 100 2x + y ≥ 80 y + z ≥ 80 x ≥ 0, y ≥ 0, z ≥ 0. p=…

A:

Q: 4. As an engineer and a scientist, a research has been conducted and the problem has been modeled…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: the system of inequalities. O x+ ys30 x2 10 y2 10 O 2x + ys 30 x2 10 yz 10 O x+y2 30 X< 10 y< 10 O…

A:

Q: 1. Minimize z = 3x1 + 4x2 subject to x; + 4x2 > 8 2x1 + 3x2 2 12 2x, + x2 2 6 х, 2 0, х, 2 0. 2.…

A:

Q: Maximize p = 5x – 4y + 3z subject to 2x + 2z s 100 5y - 5zs 50 2x 5y s 50 x 2 0, y 2 0, z z 0. (x,…

A: Given problem: Max p=5x-4y+3z subject to 2x+2z≤1005y-5z≤502x-5y≤50x≥0, y≥0, z≥0 By introducing slack…

Q: 1. y" - y' - 2y = e by D- | operator method 2. y" - 3y' +2y = e4x + 6x³ – 2+ 3sin(4x)

A:

Q: Minimize c = x + y + z + w subject to + w 2 7,000 z + w< 2,000 5х - у x + y 600 x2 0, y 2 0, z 2 0,…

A:

Q: Maximize p = 3x + 4y + 2z subject to y + zs 5 x + 2y + zS 5 y + zs 4 x 2 0, y 2 0, z 2 0. Зх + x + p…

A: Query is to maximize p=3x+4y+2zsubject to3x+y+z≤5x+2y+z≤5  x+y+z≤5x, y, z≥0

Q: 6.4 1Maximize p = 6x + 4y subject to x + 3y ≥ 6 −x + y ≤ 4 2x + y ≤ 8 x ≥ 0, y ≥ 0. p= (x, y)=

A:

Q: 2. Minimize z - 6х, + 6х, + 8x, + 9х, subject to X, + 2xz + x3 + x4 2 3 2x, + x3 + 4x3 + 9x4 2 8 X,…

A: Given-  Minimize Z = 6x1 + 6x2 + 8x3 + 9x4subject tox1 + 2x2 + x3 + x4 ≥ 32x1 + x2 + 4x3 + 9x4 ≥ 8x1…

Q: e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 +…

A: Given query is to find the derivative of the expression.

Q: Maximize p = 10x + 10y + 15z subject to x  −  y  +  z ≤ 12 2x  −  2y  +  z ≥ 15     −y  +  z ≥ 1 x ≥…

A:

Q: 1. E(Y,X, X2... X) (Y+Y2 +. + Yn) 2. E(IX,, X2, X) =E Y2+ + Yp) + -B(X, +X +

A: We have to show that β¯ is conditionally distributed.  To show β¯ conditionally distributed we will…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.