Maximize p = 14x + 10y + 12z subject to x + y - zs 12 x + 2y + zs 32 x + ys 20 x2 0, y 2 0, z 2 0. p = (x, y, z)

Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

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Q: (a) Find the critical values and the corresponding function values. (b) State the intervals on which…

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Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: Let f(x) = 3x4 – 8x3 + 6x?.

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Q: Find Duf at P. f(x, y, z) = 6x³y³z³; P(2, — 2, 2); u = Duf = i + - 2|3 k

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Q: Iff (x, y) = 4x³ +7y², findf (1,2).f; (1,2).f, (1, 2). f (1, 2) = fx (1, 2) = fy (1, 2) =

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Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

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Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: Maximize C = 7x + 9y + 6z subject to 12x + 8y + 15z ≤ 72 9x + 8y + 5z ≤ 144 and x ≥ 0, y ≥ 0.

A: We are given: Maximize C = 7x + 9y + 6z subject to 12x + 8y + 15z ≤ 72   9x + 8y + 5z ≤ 144…

Q: 6. y = V2x – 3x . Find y'" -

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Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: f(x, y) = fx ( - 2, 2) = 2 2 3x² + 5y²

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Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 => fx(3,2) = 66