X1, X2 2 0 12. Minimise Z = 60x1 + 80x2 bo Subject to 20x +30x2 2 900 40x1 +30x2 2 1,200 X1, X220 LO 6

Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

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Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

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Q: 3x – 3y+ 4z = 6 4х - 5у+2z%3D10 x- 2y +3z = 4 =D4

A: Given the system of equation is  The matrix of form of system is

Q: Minimise Z = 1.5 x + 2.5 y S.T. 1x + 3 y 2 3 1x + 6 y 2 2 and both x and y 2 0

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Q: Non Homogeneous: (D2 − 7D + 6)y = 3x2 − 2x + 5

A: Here we have to solve the non-homogeneous differential equations     (D2-7D+6)y = 3x2 - 2x +5 .

Q: + 3 satisfies (1– x² )y"-2 xy'+20 y = 0.

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Q: w + x + y + z = 13 2w + 3x - z =- 1 3w + 4x + y + 2z = 10 w + 2x - y + z = 1

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Q: (3x"-1)(3) %3D 3 Y +1 e 3x"-1 s 3x"+xY =4 %3D -) m =4 30 that 3x +1 %3D 3x4+1

A: See the attachment

Q: x' = 3x - 4y + z+t y' = x-6z +1? z' = 3y- 5z +t3 x' y' y z' + II > N

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Q: x – 5y = -4x - 2y %3D II at x -3.

A: Simplification of the equation helps to find the required function value. Substitution of the point…

Q: 19. 2x + 2y + 4z = 0 w - y - 3z = 0 2w + 3x + y + z = 0 -2w + x + 3y - 2z = 0

A: According to Bartleby guidelines we can only solve one question at a time. Kindly put other…

Q: 8. Show that y = x° + 3x +1 satisfies y" + xy" – 2y' = 0.

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Q: How do I solve by elimination to find the solution of the two equations?

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Q: ① y" +16y=ex y-y-6y=2sin 3x ly-y-2y=3x+4 4y" +4y+y=3x² グッ 2

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

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: Maximize p 2x + y + y 35 + 2y 0, y > 0} y = Enter answers as decimals rounded to 0.1. AL VI AL VI

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Q: Minimise c00 Z= 6x1 + 4x2 %3D Subject to 20 3x, + 0.5x2 2 12 2x1 + x22 16 X1, x, 2 0) Mini

A: The objective is to minimize Z=6x1+4x2 subject to3x1+0.5x2≥122x1+x2≥16x1,x2≥0

Q: 2x-4 16x-2 15x+3 U R x+5 Find mLZ Find mZV W. V U. 5х -6 6x +9 4x+2 4+7x S. T Find RS Зх- 12 R. X+12

A: TSRQ is a parallelogram, so, (i) the sum of its adjacent angles is 180° &, (ii) its opposite…

Q: B. Non- homogeneous Higher Ordered LDE 2 1.D +50² + 8D -9) y - 69x²e-*

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Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Ay Given y = x²+ 3x + 5, find Ax %3D Ay 2Ax + x + 3 Ay 2xΔx +x+3 Ax Ax O Option 1 O Option 4 Ду Ay…

A: topic - difference quotient

Q: 2 3 6 + k dt V4 – t2 4+ t2 |

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

Q: eliminate the arbitrary constants. 1. xsiny + x2y=c 2. y= c1ex+ c2xex 3. y= cx+c2+1

A: We are authorised to solve only one question with 3 subpart.please repost remaining questions…

Q: Мaximize 2 3 4х + 4y || 3x + 7y < 63 6x + 2y < 54 Subject to Маximum is at y = VI ALAL II

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Q: 1. (3r'y+4.xy' +6}tx + (* + ór*y -1lky = 0

A: Given differential equation is (3x²y + 4xy³ + 6)dx + (x³ + 6x²y² - 1)dy = 0

Q: y=(b+x*) +(1+x')'(\3x* +x +(1+x*)*(V3x² .2 УЗx* +x — с сos (4x) y'%3D?

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Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: Show that y = x° + 3x +1 Satisfies y" + xy" – 2y' = 0.

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Q: Мaxіmize Z — 4х — 10у Subject to х — 4y24 2х — у s 2 x >0 y 20

A: The problem is: Maximize Z=4x-10y subject to  x-4y≥4....(1)2x-y≤2....(2)x, y≥0 We will the given LPP…

Q: what is the general solution of y (1 + 3x ) y - v ? Oy = 4 + 3x + Ce %3D = 4 +3z + Ce" 4 + 3x + Ce…

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Q: 1. уд y = 5x -x y=Vx+2 (4, 4) X= 2 y x x+1 y = 1 2.

A: "Since you have posted multiple figures, we will answer the  questions 1,2 and 3.  If you want…

Q: Maximize q(x) = 2x² + 72xy + 23y² , where x = subject to the condition ||x|| = 3. %3D Select one:

A: This is a problem of optimization.

Q: 1. Differentiate: a) y = 5* b) f(x) = (4.3)5× %3D c) g(x) = (12)-2x³-1 d) h(x) = x³(2.1)2x

A: a). To differentiate y=5x Taking logarithm on both sides, lny=ln5xlny=xln5 Differentiating both…

Q: :Max z=6x + 8y subject to x +y 0, y=0.

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Q: (ii) (2 – t4)4 dt *xª – 5x³ + 6x² – 18 dr g3 – 3x² (iii)

A: 2)

Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: x+3y = 2 %3D 21. 2x + 7y = 4 x+5y+z = 5

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Q: Differentiate: y = x2 + 3x – 1 x2+1 A. x2+3x-1 -(x²+1) В. (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)² D.…

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Q: 190.19 b.) 6Xi t 15X2-24 y3 f 40x4 > 69.8 ¥3 15X, + 9x2 -13 V3 -24Y1 参3X t18 y3- 1 Xy = -163 " xy=…

A: Here we use a = x1 b = x2 c = x3 d = x4

Q: Differentiate y = x'arctan 2x 2x A. 1+4x2 - 2x arctan 2x 2x3 В. + 2x arctan 2x 1+4x2 C. 1+4x2 + 2x…

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Q: max x+ y2 + z² subject to x2 + y² + 4z² == 1 and x+3y + 2z = 0

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Q: First order linear of 2x3y'=y(y2+3x2)

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Q: v - 2w + x + 2y - z = 6v +3w- 2x + 4y - 3z -v + 2w – 3x + 4y – 5z = Ev + 13w – 2x + 8y – z = -

A: Gauss Jordan Method: Gauss-Jordan Elimination is a method for finding the inverse of any invertible…

Q: 1. -(3X)(Px v Qx) 2. (x)(Sx• -Qx) ɔ (3x)Px | -(x)Sx

A: We have to prove the given arguments

Q: E. 2x-3y + z = 10 %3D y + 2z = 13 %3D z = 5 II wo - x + y - z = 4 3x + 2y + 4z = 17 -x + 5y + z = 8

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Q: SORU: y = x² – 6x + 13, y = lnx, x = 1 ve x = 5 ile sınırlı bölgenin; a) alanını bulunuz. (20)

A: As shown in the figure draw a stripe parallel to y-axis. So, A=∫15∫ln xx2-6x+13dydx   =∫15[y]ln…

Q: ax+b 35. у%3D cx+d 36. y= (x'+4x) 1) 37. y (r-x+ 38. y = V1+2x+x 39. y= (1+x*)" (1 +x* 40. у%3 (r*…

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Q: 1. V2 3y 8-x2-y2 رار 0 0 x2+3y2 dzdxdy

A: We have to evaluate the integral.     According to our guidelines we can solve only one question so…

Q: minimize F=x^2+y^2 subject to xy^2=16.

A: Let F=x2+y2 and G=xy2-16=0...(1) Let λ be the Lagrange's multiplier. Then Fx=λGx and Fy=λGy⇒2x=λy2…