Consider the finction f(x, y) = 6y² + 4x² – 12xy- 4y. Then: (1,1) is a critical point and f has a local maximum at (1,1)

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A: An object traveled by a velocity,on the interval[0, 4].

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A:

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Q: Consider the function F(x,y) = x +3x? – 6xy + 2y, Check whether the function Fis concave or convex.…

A: Solution is here

Q: Given f(x, y) = 2x3 – 3y? – 6xy %3D (i) Find critical points of f. (ii) Use the second derivative…

A: Given that,f(x, y)=2x3-3y2-6xy-12x

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Q: Given f(x, y) = (3x – x2)(2y – y?). (a) Find all the critical points of the function. (b) Classify…

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Q: Classify all the critical point(s) of f(x, y) = 22 + 6x? – 3y3 – 150.x. Find maximum and minimum…

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Q: (x* + y° ) In (x² + y* ). (x,y)= (0,0) f(x, y) = k +1, (x, y) = (0,0)

A: If f is continuous then lim (x, y) tends to (0, 0) =k+1 And using l hospital rule.

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Q: Q4 Let f(2) = 2-3r- 12r +7 a) Calculate f'(x) and f"(r). b) Find the critical number(s) and the…

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Q: Let P = (a, b) be a critical point of f(x, y) = x² + y4 – 4xy. (a) First use fx (x, y) = 0 to show…

A: fx,y=x2+y4-4xy

Q: =(x,y) = 2x²+√6xy + y²

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Q: Find the critical point(s) of the function f(x, y) = x² – 3xy+5x – 6y +8, and determine whether they…

A: Given function is  fx,y=x2-3xy+5x-6y+8 The function f is defined for all x,y∈ℝ2 and partial…

Q: (3) Let f(x, y) = 2xy? – x²y - 3.xy. Find the critical points. There are four critical points.

A: We have to find the critical points of the function of two variablef(x,y)=2xy2-x2y-3xy

Q: At what value of x does the curve y = x(x – a²)(x – b²) have a local maximum?

A: