Determine if F(n.y,z) =x+y+Z have a maximum/minimum value when m,9, z) lies on unit sphere:x'+yiZ=1• 2 2 2 In which Case, determine maxımum & mirimum Values·

Q: Find all the local minima of the function f(x, y) = 15 x 2 x +3 y +6xy a) A local minimum occurs at…

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Q: 15. Given: Th: x+y+z=0 Find: the value of 'm T₂: x+2y+2z-1=0 That a line that lies on the plane 773:…

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Q: tch the graph with the equation by the first showing that it represents a circle then finding its…

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Q: ind the maximum and minimum values of the function f(x, y, z) = ax + by + cz, where a, b, c are…

A: In the given question, maximum and minimum values of the function f(x, y, z) = ax + by + cz, where…

Q: The curve crosses the x axis at A(2, 0) and at the point B(10, 0). The curve has a minimum at M(3,…

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Q: 6) f(x, y) = 2xy - 7x - 3y 21 2 A) f B) f C) f D) f 3 2'2 2 N/W 3 NN 2 == == NI 3 7 2 = saddle point…

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Q: Find the best quadratic approximation, Q(x, y) of V9 + 7x + 5y for (x, y) near (0,0), Q(x, y) :…

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Q: What is the maximum of the function f(x, y) = 2xy + 2x - 2x2- y? а. (х, у) %3D (1, 1) Оь. (х, у) %3D…

A: find the partial derivative and set to zero to find the maximum and minimum value

Q: An object is traveling along the line y = 2x + 1 heading up and to the right. If the temperature at…

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Q: Suppose that f(x, y) = ez²_4y²+z_y

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Q: Determine the minimum and maximum values ​​of f(x, y, z) = x^2 +2y^2+ 3z^2 subject to restrictions…

A: Given function is fx,y,z=x2+2y2+3z2 subject to  x+y+z=1x-y+2z=2 Let  gx,y,z=x+y+z-1hx,y,z=x-y+2z-2…

Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

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Q: 1/ Find maximum,minimum Z= x³y³-12x + 3y + 12. ,and saddle point of the surface

A: Use the method of Lagrange multipliers to find maxima minima of the given function as in next step.

Q: af of H.W: Find and for the functions: b əx ду 1. f(x, y) = (xy-1)² 3. f(x, y) = (x²-1)(y + 2)…

A: Given functions are 1. f(x, y)=(xy-1)2 3. f(x, y)=(x2-1)(y+2) 4. f(x, y)=x(x2+y2)   To Find: ∂f∂x…

Q: The minimum value of f(x,y) = x^2y + 3y^2 - y subject to the constraint x^2 + y^2 = 10 is.........?

A: We need to find the minimum value of f(x,y) = x2y + 3y2 - y subject to the constraint x2 + y2 = 10.…

Q: An equation for the tangent plane to the surface (xty at the point P(1, 1, 4) is a) 8r + 8y-:= 0 b)…

A: The given surface is  f(x,y)=z=(x2+y2)2  ...........(1); we have to find the tangent plane at point…

Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: If the circles x\power{2}+y\power{2}+2a'x+2b'y+c'=0 and 2x\power{2}+2y\power{2}+2ax+2ay+c=0…

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Q: If fiz)= 2³+e², and Cis the contour е z = 8e¹t 04+≤2π ost≤2 Find [ f(z)dz = ? (z+iR)³

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Q: Find the maximum value of the function f(x, y, z) = 2V79x + 2y - 2z+3 subject to constrain x2 + y? +…

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Q: nd meets the uses at A, B and C. Show that the locus of the point of i lanes through A, B and C…

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Q: What is the point (0,0) for the function f(x, y) = 3 – x*y* ? Maximum B) Minimum C) Saddle point D)…

A: This is the problem based on multivariate function , to find whether (0,0) will be max , Min or…

Q: Encuentre máximo(s) y/o mínimo(s) relativos de f(x) = 1- 5z2 +4. (Si es que estos existen).…

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Q: 21 Find the equation of the tongent plane to Z=> x²+2y³ at (1₁13)

A: The equation of the surface is given as         z = x2 + 2y3       => ∂z/∂x = 2x        ∂z/∂y =…

Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

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