p = 2x + 4y + 6z x + 2y > 200 3y + 4z < 300 x > 0, y > 0, z 2 0

Q: x + 2y + z – t = 5 3 x +y+ 2z + 2t = 8 4x + 4y + 3z+ 4t = 22 2 1 5 *+t =, 5

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Solve: x^2y′′ + xy′ + x^2y = 0 where y(0) = 2

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Q: 12. f(x, y) = x' – 2x – y + 4y, P = (1, 2). -

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Q: Metodo de coeficientes indeterminados 3y´´-2y´-y=x^2+3x-6     y(0)=0    y´(0)=0

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Q: dy 8. V1+ V1+x 1

A: From the given problem: I=∫-18dx1+1+x   ...1 Let, u=1+xSo,dudx=ddx1+xdudx=0+1du=dxFor the…

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: The given equation is z=y3-24-2y3 The objective is to find dzdy. The product rule for derivates is…

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: [1] S(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – vx)* d. [3] S V1+ 2sin3xcos3xdx

A: As per bartleby guidelines we are support to answer only 3 subparts of a question. This post…

Q: x = 2 - t, y = 1 + t, z = 3t; x - y + 2z = (x, y, z) =

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Q: Solve:  x + y − z = 0x − y − z = 0x + y +2z = 0

A: We add the fist and the second equation to eliminate y.  2x-2z=0 Or, 2(x-z)=0 Or, x-z=0 Or, x=z…

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

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Q: max z = 3x, + 2x2 1 1 X1 + 40 X2 < 1 60 s.t. 1 X1 + 50 1 X2 < 1 50 X1, X2 20

A: dual of the given lppmin z=y1+y2s.t.     140y1+150y2≥3      160y1+150y2≥2          y1,y2≥0

Q: 7. r+*y y 1+x Vy =1+x'y 8.

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Q: 2. T1: R2 - R2, T1(x, y) = (x – 2y, 5x + 2y) T2: R2 - R2, T2(x, y) = (0, x)

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Q: Solve (» — 1) dz — (За — 2у — 5)dy — 0 - (2у — х — 3) — C(у — х+ 2)? О (2у — а + 3)? — С (у — х + 2)…

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Q: Solve 1) y" + y' – 6y = x2 2) y" + y' – 6 = tx Where t: constant

A: (1).   The given differential equation is:  y''+y'-6y=x2 The characteristic equation of the…

Q: Solve Fyy +3 Fy +2 F = -3 x, F (x,0) = x, d, F(x,0) = 0. ху F(x, y) =|

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Q: Solve using variation of parameters: (D^2+1)y = secxtanx O y = C1cosx + C2sinx + xcosx +…

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Q: 8. fz/25 – z² dz

A: Consider the provided integral, ∫z225-z2dz Evaluate the provided integral. Apply the method of…

Q: y" +2y'+ y = t O y = t-2 O y= 1/2 (t) O y = t O y = 2t -1

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Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

A: Given system of linear equations; 2x+y-z= 3 x-y+z = 0    y+2z=1 We can use Cramer's rule to solve…

Q: 1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3x3+y² x²+y² .2 (x, y) ± (0; 0), ,2 ) f (x, y) = 1, (x, y) = (0; 0).

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Q: 3. p + y = ty dt dy 2ty(y – 1) dt 6. 3(1 + ²) %3D

A: Given 3 t2dydt+y2=ty6 31+t2dydt=2tyy3-1

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

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Q: ーX + 2y - z= 0 ーX - y + 2z = 0 Z = 1 2x

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Q: y = 2z3 [tan(3z+1)] a + xy – y5 = 8x? y = (x + 3)² (x² – 2)

A: You didn't mention what should I do with the given equations and this problem is posted as calculus.…

Q: f (z) = VE g (z) = V5x - 4 %3D

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Q: 2y + z = 1 29. у + 2z 3D 5 y (x + y + 3z = 8

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Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

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Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

Q: 2 x + 4 y + z = 3 3 x + 5 y+2z = 2 3x+ y+ = 1 thesolutionis :

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Q: 2x + y 5z - 4y Find the total ditferential. W = 5z + 8x 10x + 5y 2 -x+ 5z – 4y dw = (5z – 4y)2" (5z…

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Q: hich vect וdtiolו y and 2? 1 -2 y = 1 -6 x = 2 8 -1 2 -1 5 2 -3 [ 2 -1

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Q: y" +2y' + y = t O y = t-2 O y = 1/2 (t) y = t O y = 2t -1

A: To find the particular solution to the given differential equation first write it into operator…

Q: Solve: sec x = V2 + 2πkk e Z U + 2π시k E Z 3. + 2πkke z 2Tk k EZ 4. 4 + 2rk|k € Z 3 + 2rk|k E Z 3. of…

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Q: 1 y" – 2y' + 2y y(4) = 0, 3 (4) = 0. -

A: Given: The given differential equation is y''-2y'+2y=1x, y4=0,y'4=0

Q: 3. v+ 4)(v² + 8y)}v\y² + 8y – 1 dy y²+ 8y- 1 dy

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Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

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Q: z+4 f (2) = 222+z+8 Find the Critical Points

A: Given function is f(z)=z+42z2+z+8   To Find: Critical Points of f(z)

Q: y'' -4y' +3y = 2cosx + 4sinx using METHOD OF VARIATION OF PARAMETERS

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Q: 4. x = 9-y2 ,-2 <y S2 about y-axis vis

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Q: Find the total differential. 6x + y w = 4z - 8y

A: The given function is: w=6x+y4z-8yw=f(x, y, z)

Q: Solve the I.V.P: dy 1 = 6y'x; y(1) dæ 14 1 y = 3z2-17 y = 17-3z 1 Oy = 17-3z2 1 y = 17+32

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.