Minimize c= x + y + z + w Subject to + w > 2,000 + w < 4,000 5x x + y 300 x 2 0, y 2 0, z > 0, w 2 0. p = (х, у, z, w)

Q: Evaluate fay'da + aªdy, where C is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4)

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Q: Find f„(x, y). f,(x, y), Sa( – 2, 4), and f,(4, - 3). 5. fх, у) 3D 2х —-5ху 6. f(x, y) = 5x + 7y

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Minimize p = -2x + 4y subject to ( 2x + 3y 2 30, x - y 0, y > 0.

A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

Q: 1C. Triangle XYZ has cordinates X(-1, 3), (2, 5) and Z(-2,-3). Determine X Y Z' and X" Y" Z" if…

A: If the point: x, y is translated by the vector: ab, then the transformed point is x+a, y+b.

Q: 5. Differentiate a) y²=3x²y+4xy² b) y=2x²-3x+1 2x+2

A: Given :  a) y2=3x2y+4xy2 b)  y=2x2-3x+12x+2 To differentiate the given function. Following…

Q: line squares I will always pass Show that the least Y = B₁ + B₁²³ Bx through the time point (5,5).

A: The given least square line is y=β^0+β^1x.The objective is to show, the line of y=β^0+β^1x passes…

Q: 7-9. Write the polynomial in factored form and then in standard form (multiply it out) with the…

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Q: The range of y = v16 – x² is А. [4, со) В. (4, оо) C. [-4,4] D. [0,4] Е. (0,4)

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Q: (D² + 4)y = 0

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Q: 2 f(x,у) 3 V9- х* -Зу;B Р(3, - 3); 13 3 13

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Q: Evaluate |(a,b)=(0,0) given that f(x, y) = 3x² + [y]; x = e²a+b₁ e²a+b; y = a² + t² + 1 да

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Q: general solution to

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Q: Solve for the unknown quantities, if possible, in Exer- cises 5-16. 5. (1, 2) + (0, y) = (1, 3)

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: 1. 5у" + y' 3 -6х, у (0) %3D 0, у'(0) — —10 ||

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Q: Solve for x: xy2 + yz2 - 4 = 2x - 1. 3-yz2 b) х %3D у2-2 a) x = *y^tyz2-3 2 с) х %3D 3 — yz2 -у? +2…

A: Consider the given expression.

Q: Зт m m 2 (т - 3)x? +. 4 -5 = - 4myx т - - Y- 4

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Q: Calculate fz(3, 6, 9), where f(x, y, z) = xyz. fz(3, 6, 9) =

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Q: 31 Xi + 47 Xz + 14X3 Ex Al+

A: Given: Max z=31x1+47x2+14 x3Subject to; 2x1+3x2+x3≤4 and x1, x2, x3≥0 To find: Optimal solution and…

Q: For f(r, v) = + find f(3,4) and state the domain of S(1, y).

A: We are given the two variable function here. To find the value f(3,4) we will simply put x=3 and…

Q: 5) The equations r² + y²s + yt² - 13 and y² + x²s + rt² = 9 define s and t as implicit Əs functions…

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Q: 5) y = V V+ V? + Væ

A: The function: y=x+x2+x

Q: 42+2 312-5x Differentiate: y = O y = 12z-40z+12z-10 (3z2-5z) O y' = - 12z* – 40x³+12z–10 (3z2-5z) O…

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Q: 3.) The total weekly revenue( in dollars) that Depot realizes in producing and selling its speaker…

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Q: tput. Demand is p= 650 - 2Q. e profit-maximizing price and output for the monopolist. aximizing…

A: In the given question, the concept of maximization is applied. Maximization The critical points of a…

Q: 1. (A×(DxB))x(Ex(A×C)) 2. BxC-(A×B )× D 3. Ric + Rn – Rp. EB 4. E.Ax(D×C)-B 5. D-(4-E)xE +(ВxЕ)xС+4…

A: As per our guidelines, we are allowed to answer only three subparts of a question. Since you have…

Q: (у-3) dy y2-6y+1

A: To evaluate the integral: ∫(y-3)y2-6y+1dy Solution: ∫(y-3)y2-6y+1dy…

Q: 12. x = 2y + 7 10. y= x-4 y = 4x - 10 11. y= 2x + 5 y = 3x - 1 3x-2y = 3

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Q: Exercise 1) ỷ + 3ỳ + 2y = 36xe*

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Q: 1. (2D³ – 7D* + 2D³ + 3D²)(f) = 0

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