If the function f(z,y) = 1 +y² + 2xy – 6z – 3y + 4 has one saddle point (a, b), then 2b – a = %3D O a. 6 O b. -6 Oc. 9 O d. -3 Oe. -4 O f. 4 O g. -9 Oh. 0

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 max/min value(s) and saddle points of f(x, y) = x^4+y^4−4xy+1.

A: Given: f(x,y)=x4+y4-4xy+1 To find the local maximum, local minimum and saddle points of f(x,y). The…

Q: Consider the function f(x, y) = 6y + 4x? - 12xy- 4y. Then: O (1,1) is a critical point and f has a…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Let f (x, y) = 2x3 + x2y - y2. Compute d2f/dx2, d2f/dy2, and d2f/dxdy at (x, y) = (1, 2).

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

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Q: Find the critical point of the function f(x,y) = 4x²y² + 3y2 + 5x2. %3D o a. (-0.87,0) o b.…

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Q: True/False: The function f(r, y) = xy + + 4 has a saddle point at (2,1). O True O False

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Q: The function f(x, y) = x2 – y² at the point (0,0) is saddle point. صواب İbi

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Q: If the function f(z, y) =z + y? + 2zy– 6z – 3y +4 has one saddle point (a, b), then 4b + a = O a. 4…

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

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Q: Find the critical point of the function f(x,y) = 5x²y² + 4y² + 6x². %3D O a. (0,0) o b. (0,-1.10) о…

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Q: let y!l-3y'+2y=e ,y(0) =1 ,y' (0) =0 , find L (y) s2 - 4s+6 .a O (s-3) (s-2) (s- 1) s2 - 5s+12 .b O…

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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: True/False: The saddle point of the of the function f(x,y) = x² – e occurs at (0,0). - O True O…

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Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: The function f (x, y) = ,x² +x + y² – xy + 3 has | a) None of these b) a critical point at (-2, –1)…

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

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Q: 10. Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = x3 –…

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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: 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: Which of the following is a saddle point of th f (x, y) = x³ + y³ + 3y² − 3x − 9y + 2 ○ (1,3)…

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Q: 6 Find all Max., Min., saddle point for the functions below: 3 f(x,y) = x ²³ + 3xy ² - 15 x +…

A: Given: f(x,y) = x3+3xy2-15x+y3-15y

Q: The function f (x, y) = x³ + y³ - 3xy %D O has a local maximum at (0, 0) O has a saddle point at (1,…

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Q: Consider the function f(x, y) = 6y2 +4x2- 12xy- 4y. Then: O None of these O (1,-2/3) is a critical…

A: We have : f(x,y)=6y2+4x2-12xy-4y ⇒fx=8x-12y⇒fy=12y-12x-4 Now, for Calculating Critical points, we…

Q: Find the saddle point/s of the function f(x,y) = x + y² +x²y+4 O a. (E ,-1) & (- 2 -1) O b.(4,0) &…

A: Let's find.

Q: d the relative extrema and the saddle points, if any, of f(x, y) = x³ + y° – 6x² + y – 1. -

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

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Q: Find and classify the critical points of f(r, y) = 2y²x- ya? + 4yx.

A: Here we have to find and classify the critical points of f(x,y) = 2y2x - yx2 +4yx .

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

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Q: 2. Determine the relative extrema of f, if there are any, and locate any saddle points, using the…

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

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Q: Consider the function f(x,y) = xy²-3x2- y+2x +2. Then: a. f has a saddle point at (1,2). b. f has a…

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y) =xy2 -3x2 -y2+2x +2 as follows.   f(x,y) =xy2 -3x2…

Q: The function y = Ce* + C2e-Sx is the general solution of a) Oy" – 3y – 10y = 0 b) Oy" + 2y + 10y = 0…

A: We have to find the differential equation whose general solution is y=C1e2x+C2e-5x .

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 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: Find the saddle point/s of the function f(x, y) = x² + y° + x®y+ 4 O a (4,0) & (-4,0) O b.(E -1) &…

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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: Determine the first-order saddlepoint approximation. ƒ(z) = √√2/²" 2"-18"ee-" 2π (4)=√√3²-¹8-²6%² 2π…

A: According to our guidelines i can solve only one subpart.

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

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

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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: 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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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.