1 + X f[X_, Y_] := 2y-1-를x (1+ ) (y-1)2 (1+ 2) (y - 1)2

Q: Find a function f (x, y) that has the line y = 3x - 4 as a level curve.

A: A function is a relation which maps each value in its domain to exactly one value in its range. A…

Q: F .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

Q: The level curves of the function f (x, y) = /2x² + y² – 1 are

A: Explanation of the answer is as follows

Q: ye-(²²+y²+z²). Find all points (x, y, z) such that Vf(x, Y, z) = Question 2. Consider the function…

A:

Q: Consider a function of 2 variable f(x, y) = 2x³y² – 5x²y* + 3x³ – 4y³ af and Əx af Find ду

A:

Q: Let f (x, y) and g(x, y) be functions of two variables withthe property that ∂ f/∂x= ∂g/∂x and ∂…

A: Given: f(x, y)  and g(x, y) be functions of two variables with the property that ∂g∂x = ∂g∂x and…

Q: ve test to identify any critical points a these. -2 – 6y² + 12x - 36y – 87

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points…

Q: Determine the point at which the function is not analytic iz² – 2z ƒ(z) = 3z + 1 - i

A:

Q: Find the orthogonal trajectories of the family of 2 curves x² + y² = cy A B Ⓒ с D none of the…

A: Given curve x2+y2=cy

Q: Sketch the level curves of the function f(x, y) = = - y² for c= -4,-1, 0, 1, 4. 9

A: The level curves of a function f(x,y) are formed by plotting points (x,y) in the plane where f(x,y)…

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

A:

Q: Find an sketch the domain of f(x,y)= 16x² – x² –4y². -

A: Given that fx,y=16x2-x2-4y2 To determine the domain of the function. fx,y is only defined for…

Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: Find d as a function of t if x = t², y = t³ - 2t³ +1.

A:

Q: List the points in the xy-plane, if any, at which the function z = 7+ ((x-4)² + (y+3)²)´ is not…

A: The given function is as  z= 7+((x+4)^2 +(y+3)^2)^2  We have to check the that this function is…

Q: 1. (a) Find the domain and range of f. (b) Draw a contour map of f for k=-1,0,1. (c) Sketch the…

A: (a) For the given function, f(x,y)=y+x+2, Assume f(x,y)=z; Here,  z=y+x+2 The domain of z has all…