f(x,y)=x-y; x² + y² ≤ 1, x+y≥1

Q: Find ∂y/∂x1 and ∂y/x2

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Q: .3 If U = 2– x, | x 2-xdx=

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Q: f(x, y, z) = x-y y²+2y+z²-4

A: We have shown that the domain is all of R3 except the points on the surface of infinite length…

Q: The functions f₁(x) = x² and f(x)=x³ are orthogonal on the interval [-3,3] ? True False

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Q: Maximize p = 2x + y subject to x + 2y ≤ 11 −x + y ≤ 6 x + y ≤ 6 x ≥ 0, y ≥ 0. p=(x, y) =

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Q: (x, y, z) = 2x²y — xz² + 3y²z. Xyx

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Q: Determine the location of all extremes and show what type the extremes

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Q: Maximize f = 7x1 + 10x2 subject to 4x1 + 5x2 ≤ 35 4x1 + 2x2 ≤ 10 3x1 + 5x2 < 40 x1 ≥ 0, x₂ ≥ 0 If no…

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Q: The domain of

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Q: Determine if F = x²yî + (xyz +29)ĵ – x²y²k is conservative or not %3D

A: For vector field F⇀=ui^+vj^+wk^ Curl(F)=i^j^k^∂∂x∂∂y∂∂zuvw   For vector field F⇀ to be conservative…

Q: Maximize f = 7x₁ + 6x2 + 10x3 subject to 4x1 + 5x2 + 3x3 18 2x1 + 3x2 + x3 0, x3 ≥ 0 If no…

A: The given problem is to find the solution for the linear programming problem with given constraints.

Q: Let f(x, y) = √√/175 – 3x² – 4y² Evaluate f(1,4)

A: Given :To Find :

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: P = (x, y) = x + 4y ≤ 13 3x + y ≤ 6 x ≥ 0, y ≥ 0.

A: Let us first find the feasible region.

Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

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Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: y = v1- x+ x2 ||

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Q: Find the domain of the function f(x, y) = In(3x? – 2y + 1). The set of all ordered pairs (x. y) for…

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Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

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Q: what values of k will

A: Given,              f(x, y)=(x+iy)2+x-ikyx+iy

Q: f minimum nction 13x L 6

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Q: f (x) = x 2 satisfies the Horizontal Line Test on the domain {x : x &gt; O}.

A: Horizontal line test is a test used to find the function is injective that is one-to-one. First…

Q: Q/ Let X be the r.v such that E(X) = 2, E(X²)= 2a , E((2+aX)²) = 2a3 Find the value of a. %3D %3D

A: Let X be the random variable such that, E(X)=2, E(X2)=2a, E((2+aX)2)=2a3

Q: Write down the first order and second order conditions for maximum and minimum of a function y =…

A: Given,  Function y = f(x1, x2, x3,  .  .  .  , xn). To find the first order and second order…

Q: Show that |x + y|≥||x|−|y||, solution without using piecewise function

A: Just I have used the triangle inequality of absolute function and easily prove that the given…