If the function f(x, y) = ;x³ + y² + 2xy – 6x – 3y + 4 has one saddle point (a, b), then 46 + a = -

Q: The function f(z, y) = 3z2- 2zy + y2 – 8y has a saddle point at (0,0). %3D Select one: O True O…

A: The given function is  f(x, y) = 3x2 - 2xy + y2 - 8y To find saddle point

Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = xy – 2x – 2y…

A:

Q: Let f(x, y) = 3y – x² y² + 8y² + 4x² – 20y, then f has: | Select one: a. Three saddle points. b.…

A:

Q: f (x,y) = x° 12xy + 8y°

A:

Q: Find the critical point of f (x, y) = 3x² + xy - 5x + y°, and determine its nature.

A:

Q: Let f(x, y) = 6 - x² + 2y²-5x - y. The point (,) is a saddle point of the function Select one: O…

A:

Q: Let f(x, y) = x + y3 - 9xy+ 27 , then (0,0) is saddle point. True False

A:

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A:

Q: f (x, y) = 2x³ + xy² + 5x² + y?

A:

Q: I Find all Max., Min., saddle point for the functions below: f(x,y) = x²y³ - 2xy +6

A:

Q: If the function f(x, y) = x + y² + 2xy – 6x – 3y + 4 %3D has one saddle point (a, b), then 2b + a =…

A:

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

Q: Find all stationary (critical) points of the function g(x, y) = x³ + y³ + 3x² + 3y + 3x + 3xy +1.

A: First calculate the partial derivatives, gx, gy  for g(x,y) . Solve the equations, gx=0 , gy=0…

Q: Locate all relative extrema and saddle points of f(x,y) = 4xy - x*-y* as shown in figure below 0-1-2…

A: The Second Derivative Test for Functions of Two Variables If D>0 and f_xx(x_c,y_c)<0, then…

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) 3x? – 7x…

A:

Q: Determine the local maximum and minimum values and the saddle points of the function: f(x,y)…

A: Given, f(x,y) = y3 + 3x2y - 6x2 - 6y2 + 2

Q: Find and classify the critical points of f(x,y) = 4r+20² - y²

A: Find and classify the critical points of f(x,y)= 4x+2x2-xy2.

Q: 1. f(x, y) = 9 – 2x + 4y – x² – 4y²

A: This question related to application of derivatives in two variables.

Q: 6. Find all the relative extrema and saddle points of the function f(x, y) = x² +y² + 8x – 12y – 3

A:

Q: Find the local max and local min and saddle points of F(x,y)= 2x^2+y^4-4xy

A:

Q: 7. Determine all relative extrema or saddle points: f(x, y) = 4x³ + 8xy - 2y²

A:

Q: The function f(I, y) = 3x2 – 2ry + y2 – 8y has a saddle point at (0,0). Select one: O True O False

A:

Q: b. Find the partial derivatives fx ,fy of the f (x,y) = x². e²y+3x

A:

Q: If (a,ß) is a saddle point of the function f(x,y)=20y²-y³+3x2-6xy, then a+ß=

A:

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

A:

Q: Find the critical point of the function f(x, y) = x² + y² + xy +7.5x C=

A: To find the critical point of the function fx, y=x2+y2+xy+7.5x.

Q: Find and classify the critical point of f(x,y) = -³y² - xy + y²³.

A:

Q: Let f(x, y) = x³ + y3 – 9xy + 27, then (3,3) is saddle point. True False

A:

Q: Find the critical point/s of the function f(x,y) x³+2xy-2x-4y

A:

Q: If the function f(z,y) = 1 +y² + 2xy – 6z – 3y + 4 has one saddle point (a, b), then 2b – a = %3D O…

A: To find the saddle point of the function of two variables

Q: Let f(x, y) = 4x² + 5xy + 2y? – 2x – 3y +1. Find all critical points, and state what type they are.

A: Given: f(x, y)=4x2+5xy+2y2-2x-3y+1 We have to find all the critical points and state their type.…

Q: Suppose that the function f(x, y) = x°y+ax – 8y + 5 has a critical point at (2, –2). What must the…

A: For a function of two variables, f(x, y), a critical point is defined to be a point at which both of…

Q: The function f(x, y) = 3x2 – 2æy + y2 – 8y has a saddle point at (0,0). Select one: O True O False

A:

Q: Where does the function f(x,y)=3 − 10x + 12y − 5x2 − 6y2 have a critical point?

A:

Q: Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

A:

Q: Which of these critical points is the saddle point of the equation: f (r, y) = 4 + x³ + y' – 3zy A.…

A: Let us find the saddle point of the given equation in the next steps.

Q: Find any relative(local) extrema and saddle points of f(x,y)=x+y^-4xy+1.

A:

Q: (1) fx, y) = -2x-2y²+4x +8y +7 (2) f(x, y) = x- 4xy + y+6x+ 8y +6 %3D

A: find maxima minima and saddle point

Q: Determine the local maximum and minimum values and saddle points of the function f(x,y) =…

A:

Q: Find the extremum and saddle points of the function f(x, y) = x³ – 3xy + y³ if any.

A: Given problem is :

Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

A:

Q: Find all Max., Min., Saddle point for the functions. below: f(x,y) = x²y²-2x9 +6

A:

Q: If (a,B) is a saddle point of the function f(x,y)=27y2-y3+3x²-6xy, then a+ß=

A:

Q: If (a,B) is a saddle point of the function f(x,y)=21y2-y3+3x2-6xy, then a+ß=

A:

Q: The function f(x, y) = 3x2 – 2xy + y2 – 8y has a saddle point at (0, 0). | Select one: True False

A: to find:- whether the given function has saddle point at (0,0) or not.

Q: Find the extremum and saddle points of the function f(x; y) = x^3 -3xy + y^3 if any.

A: we use second order partial derivative test to find out minimum, maximum and saddle point

Q: Find all the relative extremum points and saddle points of f(x, y) = y* – 2y²x – x² + 4x |

A: given functionf(x,y)=y4-2y2x-x2+4x suppose that (x, y)=(a, b) is a critical point of f(x, y)and D(x,…

Q: Consider the function f(x,y) = (3x^2 + bx)(2y^2+dy) where b and d are non-zero constants. Determine…

A:

Q: Find the highest point, low point and saddle point (if any) of the f(x, y, z)=3x² + 2xy + y²

A: