Expand (y-3x)*. A y +12y x + 54y*x² + 108y²x³ +81x* B y+4y x+ 6y*x² + 4y²x³ + x* y - 12y x + 54y*x² – 108 y²x³ + 81 x* D. y – 12y³x + 54 y²x² – 108 yx² + 81 x* E y +4y'x + 6yx² + 4y®x³ + y*x* Not possible to expand.

Q: Findtheintersectionof2x+2y+z=4andx+2y+3z

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Q: Maximize p = 5x – 4y + 3z subject to 10x + 10z 0. p= (х, у, 2)%3D

A: Here we use simplex metod.

Q: Minimize Subjec to Xx -3 Xq +4 Xz-5 X,- 2X2 <3 2Xx -Xx Z4, XxZ0 and Xg is unnaitaeted

A:

Q: Maximize z = 15x + 15y Subject to 10x + 8y z 190 10x - 14y 2 - 30 x+y s 45 X, y z 0

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Q: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

Q: 2x1 + x2 + x3 = 6 3x1 + 2x2 − 2x3 = −2 x1 + x2 + 2x3 = −4

A: The given system of linear equations are: 2x1+x2+x3=63x1+2x2− 2x3=−2x1+x2+2x3=−4 To solve for x3

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

A: Consider the provided question,

Q: If U = xz - x²2y + y²z², evaluate div grad U O2y + 2z²+2y² O -2y + 2z²-2y² O2y-2z²+2y² O2y + 2z²-2y²

A: I have given the answer in the next step. Hope you understand that

Q: Write the dual of the LPP Max z = 4x1 - x2 + 2x3 Subject to x1 +x2 < 5 2x1 + x2 < 7 2x2 + x3 2 6 xi…

A:

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: The coefficient of x²y4z5 in the expansion of (3x+y+z)¹¹ is

A: The given expression is: (3x + y + z)11 To find: The coefficient of x2y4z5 in the expansion of (3x +…

Q: 5) (3x-5)' y"+3(3x-5)y'-36y=(3x – 5)' diferansiyel denkleminin genel çözümünü bulunuz.

A:

Q: 1. Maximize: Z = 50X, + 100X; + 150X, Subject to: 2X, + 2X2 s 200 3X, s 150 4X, + 4X3 5 600 X,2 0,…

A: Now we will find the solution using Simplex method

Q: 3. If X is a solution of the IVP X': Х, X (0) — %3D %3D then X %3D

A:

Q: Differentiate h(x) = 3x^5/3 - 6x^1/6 + 3x * O h'(x) = 5x^4/3 - 6x + 3 %D O h'(x) = 3x^2/3 - 6x + 3…

A:

Q: 2. Find the critical numbers of y =2x² – x4

A: Given y=2x2-x4

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: Hello, How do i minimize C and find x and y

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Q: 2.5OLVE BY GAUSS ELIMINATION METHOD 2x - Y+ 32 =-3 3X +3Y - Z= 10 X- Y + Z = 4

A:

Q: Expand: (x + 2y)5.

A: Consider the provided expression, x+2y5 Simplify the provided expression. Apply the binomial…

Q: Ex Fezy)= 3x+ 8x fom <2) F(Zx).2 8+ x9 =

A: Given: f2x=3x2+8x For finding value of f'2, we differentiate given function with respect to x

Q: Maximize P3D3X+3y Subject to 2x+y s 10 x+2y s 8 X, y 2 0

A:

Q: Compute 6x3 + 4x2- 7x + 40 dx. x2 7. 80 + C x2 40 3x2 + 4x- 7In|x| + + C O 18x2+ 8x-7+C 2x 40 O 3x2…

A:

Q: maximize z=8.50x1+12.10x2 subject to 2x1+3x2 <  24,000 x1 < 6,600 x2 < 5,500 x1+x2 < 10,000

A: topic- linear programming

Q: 1) Maximize z = 4x1 + 2x2 subject to: 2x1 + 3x2 <6 X1 + 3x2 < 4 2x1 + 2x2 <8 X1 20, x2 20 with

A: Here we solve the given problem of LPP by simplex method.

Q: Z = 2x + 3y   Subject to –2x – y ≥ –10 x + 3y ≥  6 x ≥ 0 y ≥  0

A: To maximise the equation Z=2x+3y, the equations -2x-y≥-10 and x+3y≥6 are to be graphed and shaded.…

Q: Maximize z=14x, + 3x2 subject to: 7x, + 3x, 58 X1 +3x, 54 X, 20, X2 2 0. with

A: We will be using the simplex method to solve the following system.

Q: HW: Expand X (4+ y}

A: The given expression is:  (4+y)5 Now we have to expand the given expression using binomial theorem:…

Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 -…

A: We will use substitution method to solve it.

Q: 2) x2 + 4x+ 3By partial

A:

Q: 6. Maximize z-x, + 2x2 + 3x3 + x4 subject to 2x, + x, + x, + 2x, s 18 3x, +5x2+ 2x,+ 3x, s24 3x, +…

A:

Q: 5. Maximize z = 3x, + x2 + 4x3 subject to 3x, + 3x2 + xz < 18 2x1 + 2x2 + 4xz = 12 %3D X1 2 0, x3 2…

A: We to convert the given linear programming problem in to dual problem. The solution is explained…

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

A:

Q: Minimize Bubject tos * +2x2+3x3-12 0 X2+ 2xg +3x4-4 0 by direct substitution method.

A: Given, fx=x1-x22+x2-x32+x3-x44---1 subject to the constraints x1+2x2+3x3-12=0…

Q: Maximize: z=5x+y subject to: x-ys3 5x + 3y ≤ 75 x20, y20

A: Given,           Maximise: z=5x+y    subject to:                      x-y≤3…

Q: 8. Maximize P=3x+2y 2x+ys22 x+3 ys26 XS10 Subject to ys10 X,y20

A: The LPP is given as Max P=3x+2y subject to 2x+y≤22x+3y≤26x≤10y≤10x≥0y≥0 We will solve it by…

Q: Find the product. 12x'y" -5x°y10 2x*y 3y O -10xy,x* 0, y + 0 O -10x"y",x + 0, y 0 O -10x'y,x + 0, y…

A: According to question given that 12x7y112x4y5·-5x6y103y

Q: Maximize Z-150x1+125x2+95x3 Subject to Assembly Inspection 1.5x1 +1x2 +0.5x3 =0 3 3.5x1 +2.75x2…

A: Given Data: Maximize z=150 x1+125x2+95x3  Assembly - 3.5x1+2.75x2+ 1.25x3&lt;=x1150 Inspection -…

Q: 10) x² + y² - 28x - 6y + 189 = 0 12) x² + y² - 32x+22y+376 = 0 2 14) x² + y² - 4x + 24y + 144 = 0…

A: Standard form of a circle is x-h2+y-k2 =r2,    where h, k  is the center of the circle and r is the…

Q: Compute the Wronskian for 2t^2y''+3ty'-y=0

A:

Q: If Z= 2x^3y-5x^2y^4, find Zyyx.

A: The given function is Z=2x3y-5x2y4. Recall the following. Zyyx=Zyyx=∂∂x∂∂y∂Z∂y=∂3Z∂x∂y2

Q: 2. Find the duals. a) Maximize Z = 2x₁ + x2-x3 subject to: 2x1 + 2x2 ≤3 -X1 + 4x2 + 2x3 ≤ 5 X1, X2,…

A: Primal to dual conversion  Objective function is maximize  is converted to minimize Objective…

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: Find the coefficient of x°y° in the expansion of (2x – y)³. -

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Q: Maximize P = xyz with x +y = 12 and z+y = 12, and x¸ y, and z >0.

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Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

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Q: Evaluate the integral 4x-12x²+7 xdx A(2x2-3)/4x – 12x² +7 – 2ln/2x² -3+/4x – 12x² +7|}+o…

A:

Q: 7 Find Re partial decompusition of 9X+2

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.