If the function f(x, y) = x + y² + 2xy – 6x – 3y + 4 %3D has one saddle point (a, b), then 2b + a = Select one: O -9 O -4 O-3 O 4 O -6

Q: Find the local maximum and minimum values and saddle point(s) of the function f(r, y) = -x4 + 4xy –…

A: Given ,fx,y=-x4+4xy-2y2+1fx=-4x3+4yfy=4x-4yNow,-4x3+4y=0⇒-x3+y=0…

Q: Find the critical point(s) of the function. S(x, y) = 4e²-}+4y

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Q: One of the critical points of f(x,y) = x³ – 5y² + 10y – 27x is:

A: The given function is fx,y=x3-5y2+10y-27x. The critical points of a function f(x, y) are obtained by…

Q: Find the local maximum, minimum value and saddle point of f(1, y) = x' + y* - 4xy+1.

A: We will use following  critical point ( maximum ,minimum or saddle point ) of a function occur…

Q: Find the local extreme values and saddle point of the function f(x, y) = 2x3 + 2y3 – 9x? + 3y? – 12y

A: The given problem is to find the local extrema values and saddle points of the given function of two…

Q: f(r, y) = 3x- a – 2y2 +y has I local max at (-1, 1) II local min at (1,0) III saddle point at (1, 1)…

A: Here we have, f(x,y)=3x-x3-2y2+y4 .................................. (1)

Q: a) Find all four critical points for the function f(x, y) = y³ + x²y + 9y² + 2x².

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Q: Find the critical numbers of the function. y- 2 g(y) = %3D y2 - 2y + 4

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Q: Find the local extrema and saddle point(s) of f (x,y)=x*y-6y² – 3x² .

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Q: Given a function f(x, y) =x² +y° +3x² – 18y² +81y +5 The function has four critical points in which…

A: Given the equation f(x,y)=x3+y3+3x2-18y2+81y+5. We need to find the critical points of the given…

Q: 1. Given that f( x , y ) = 2y³ - 18y² + 36y + 6xy + 3x? and determine the relative maximum, relative…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. f(x, y) = 2x3 + xy2…

A: Given: f(x, y) = 2x3 + xy2 + 5x2 + y2 + 8

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

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Q: Given a function f ( x, y) = x3 + y3 + 3x2 -18y2 + 81y + 5 The function has four critical points…

A: The given function is fx,y=x3+y3+3x2-18y2+81y+5. Obtain the critical points as follows:…

Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: 4. Use the linearization of f(x, y) Vx + 2y to approximate f(3.01,2

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Q: 2. Find the critical points of f(x, y) = x³ + y³ – 3x? – 3y + 10 and classify each of them as a…

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Q: f x.y) = -4x- tay-3y +40C +35y +2 Look for local maima, locul minina and Saddle points of the…

A: In the question it is asked to calculate for local maxima, local minima or saddle point of function.

Q: The function f(x, y) = 2xy + y²x + 11 has %3D two critical points. Select one: O True O False

A: As per our guideline of multiple questions are posted we are supposed to answer the first one.  Here…

Q: 6.) Find the local extrema and saddle point(s) of f(x, y) = x²y-6y²-3x².

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Q: J1-x³ , x 0 raph.

A: The given function is y=1-x3, x<0x2+2, x≥0

Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y,z) = x² + y² +…

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Q: Find the critical point(s) of the function f(x, y) = -2x3 – 4xy + 2x – 5y – 1 and classify them as…

A: We have to find the critical point(s). So, we find ∂f∂x,∂f∂y. To classify the critical point, we…

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

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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: 9. Find the critical points and classify these as local max, local min, saddle point, or "can't…

A: (f) . Given function psf(x,y,2 = (x2+2y2+322)e  (x2+y2+22)solution :-To find the critical pointsfx =…

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

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Q: Find the critical point of the function f(x,y) = 5x²y2 + 5y2 + 6x². o a. (0,1.10) o b. (1.00,0) o c.…

A: In this question, we need to find the critical points of the function f(x, y) = 5x2y2+5y2+6x2.

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: Find any local maximum and minimum values and saddle point(s) of the function f(x, y) = -6xy + 3x^2…

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

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Q: Find the critical point (x0,y0) of the function f(x,y)=120x+120y−xy−x2−y2

A: A point (a,b) is critical point of function f(x,y) if either ∂f∂x(a,b)=0 and ∂f∂y(a,b)=0 or atleast…

Q: Find the local extreme values and saddle point of the function f(x, y) = 2x3 + 2y3 – 9x² + 3y² – 12y

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

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Q: The function f(x, y) = 2xy + yx + 11 has two critical points. Select one: True O False

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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 the critical point(s) of the function f(x, y) = -2r³ – 4ry + 2x – 5y – 1 and classify them as…

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Q: 1. Find and classify the critical points of f (x, y) = 6xy – 4x³ – 3y?

A: Critical points of f will occur: fx and fy is o. Given equation is f(x,y) = 6xy-4x3-3y2…

Q: Find the local maximum minimum values and saddle point(s) of the function S(r, y) = 9 – 2x + 4y – a²…

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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…

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Q: Given a function f(x, y) = x° + y° + 3x² – 18y + 81y + 5 - The function has four critical points in…

A: Consider the given function as fx,y=x3+y3+3x2-18y2+81y+5

Q: Find the local minimum and maximum values and saddle points of the function. f(x,y) = y^4 + 4y^2…

A: The given function is f(x,y)=y4+4y2-x2 To find the local minimum and maximum values and saddle…

Q: 1. Let f(x, y) = y³ + x³ - 2/1y²-3x+30y. (a) Find all the critical points of f. (b) Determine…

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

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

A: Find the critical point (x,y)

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

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

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Q: Find the critical point of the function f(x,y) = 3x²y² + 5y² + 5x². o a. (0,0) o b. (1.29,0) o c…

A: Topic = Derivative Correct option = a