Examine the function f(x, y) =-3x-4y+15x - 16y + 6 for relative extrema.

Q: Find the extrema of f(x,y) = xy + 14 subject to  x2 + y2 = 18.

A: To Determine: Find the extrema of f(x,y) = xy + 14 subject to                         x2 + y2 = 18.…

Q: Find the maximum and minimum value of f(x,y) =x3+3xy2-3x2-3y2+4

A: fx,y=x3+3xy2-3x2-3y2+4   fx=3x2+3y2-6x   fxx=6x-6   fxy=6y   fy=6xy-6y   fyy=6x-6

Q: Find all the points of g(x, y) = x³ − 3x + 3xy² where a relative extrema might occur.

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Q: Examine the function f(x, y) = x³-9xy+y³ +8 for relative extrema and saddle points.

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Q: Find the relative maximum and minimum values. ​f(x,y)= x^3+y^3-33xy

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Q: Examine the function f(x, y) = −3x² - 4y² + 15x - 8y + 5 for relative extrema.

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Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

A: A function f(x) has relative extremum at a point x=a if f'(a)=0. We first find the derivative of f…

Q: [F-dš where F = xỉ – y°j+(x+ y+z)k

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Q: For the function ex, the linear approximation around x = 2 is %3D

A: Introduction :

Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

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Q: Examine f(x,y) = 2x2 - 4x +xy2 - 1 for relative extrema?

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y) = 2x2 - 4x +xy2 - 1 as follows. f(x,y) = 2x2-4x+xy2-…

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 2a? –…

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Q: Differentiate. qx + r f(x) sx +t f '(x) = %3D (4'(x))(sx + t) + (s'(x))(gx +r) (sx + t)2

A: It is given that,   fx=qx+rsx+t We have to differentiate it.

Q: Find the linear approximation of the function f (x, y) y- 1 at (0,0) x + 1

A: We are given fx, y=y-1x+1. Here, we need to find linear approximation at (0, 0). Now, fx=∂∂…

Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: Differentiate the function. y = (3x- 2)² (1 –x³)² dy

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Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given cost function C and revenue function R is

Q: f(x, y) = 4x² – y²

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Q: Let f(x, y) = (- (3z + y))°. Then

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Q: Find the relative maximum and minimum values. f(x,y) = x +y - 2x + 10y – 14

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Q: Find the relative maximum and minimum values. f(x,y) = 3x² – 4y?

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Q: Find the maximum and minimum values of f(x, y)=x+3xy2-3x2-3y²+4.

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Q: linearize the nonlinear equation in the region defined by 4 < x < 5, 3 < y < 4 z = y?Vx + 5e(3x-y²)

A: Given, z=y2x+5e3x-y2 The goal is to linearize the given equation around the operating point,…

Q: f(x,y) = 100x062y0 38. Find the marginal productivity of labor and capital.

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Q: Find the relative maximum and minimum values. Зx2 f(x,y) = + 10y2 + 3

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Q: Find the linear approximation of the function y = x at point xo = 1 .3 О а. у%3D Зх - 2 О Б. у3D 3х…

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Q: Examine the function f(x, y)= 3x-5y-24x - 40y- 5 for relative extrema and saddle points.

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Q: Integrate f(x, y) = y(x² + y³) 3 over the domain x² + y° 0.

A: Given function is fx,y=yx2+y23 and domain is x2+y2≤4 with y≥0 We have to integrate fx,y=yx2+y23 over…

Q: Find relative extrema for f(x,y)=x^3 - 6xy + 8y^(3) - 2.

A: Question- Find relative extrema for  f(x,y)=x^3 - 6xy + 8y^(3) - 2.

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: 2. y = V4-x , x=0 and y=0 about the y- axis

A: Given that y=4-x2, x=0 and y=0 about the y-axis

Q: Find the linearization of f (x, y)= e²"¬*, at (0, 7 / 2).

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Q: Find fy (x,y) if f(x.y) = (x° +y®)* fxy (X.y) = %3D

A: Topic = Derivative

Q: Determine the relative extrema and saddle points of the function f(x,y) = 2x2 + 2y2 - 4x -4y +xy

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Q: Let the supply and demand functions for bottles of wine be given by p S(x)= 0.35x where p is the…

A: Given:

Q: Find fy and fy: f(x,y) = - 3 e 4x-5y f,(x,y) = D

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Q: Find the maximum value of f(x,y) = 13 – x -y on the line x+ 2y = 5.

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Q: Examine the function f (x, y) = x3 − 6xy + y3 for relative extrema and saddle points.

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Q: find the critical point and classify the function f(x,y) =xlny +x2 -4x-5y+8

A: Answer

Q: Find the linear approximation of f(x) = Vx-1 approximate 2.02. near a = 2. Use the result to

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Q: Use Lagrange multipliers to maximize the function f(x, y) subject to t x. v) = xy - 2x2 - y, x+y =…

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Q: Find the relative maximum and minimum values. f(x.y)=x +xy+y° 28y + 261

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Q: C(x) = 1500 + 13x – 0.1x2 + 0.0005x3. - %3D Find the marginal inal cost finctien?

A: Given query is to find the marginal cost function.

Q: Find and determine type of stationary point for f(x,y)= 2x² – 4.xy + y² +x+3y

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Q: Find the relative maximum and minimum values. f(x,y) = x² +y2 +4x- 12y

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Q: Determine the extrema of the implicit functions: (2² + y² + z²)² = 1 – a² – 2², z = 2(x, y) | |

A: Given x2+y2+z22=1-x2-z2 Differentiate with respect to x:…

Q: Find the critical point of the function f(r, y) = – 4+ 8z + 7z - 5y + 6y

A: Find the critical point (x,y)

Q: f(xiy)=4+x+y? Ixy

A: In the given question we have to find the local extrema and saddle point of the function f(x,y) s.t…

Q: Find the relative maximum and minimum values. f(x.y) = e +2y .2

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