Find the critical points for the function f(x, y) 40xy – 1.25(x + y)* and classify each as a local maximum, local minimum, saddle point, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)

Q: Find and classify all critical points of the function f(r, y) = 12x² +y° - 12ry.

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Q: Q2 (a) Let f (x) = x* - 4x³ + 10 (i) Find all critical points of f(x). Determine whether the…

A: For, critical points we take f'(x) =0 For, inflection points we take f''(x) =0

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A: Given In parta The function f(x,y)=(y-2)x2-y2and in part bThe function f(x,y)=192x3+y2-4xy2on the…

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A: I have given the answer in the next step. Hope you understand that

Q: The graph of f(x,y)=+1-39xy has х у O One saddle point only. O One local maximum point and one local…

A: fx,y=1x+1y-39xy

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

Q: f(x, y) = x? + y? + x²y+4.

A: f (x,y) = x2+y2+x2y+4      fx =0      ⇒      2x+2xy =0   — (1)      fy = 0      ⇒      2y + x2 =0…

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Q: . Determine the critical points and locate any relative minima, maxima and saddle points (if any) of…

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Q: Locate and classify all the critical points of the function.(If an answer does not exist, enter…

A: Given information: gx,y=4x2+x+2y2-y-1

Q: Find all local extreme values of the given function and identify each as a local maximum, local…

A: Given:  f(x,y)= x3+y3-192x-12y-10.

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Q: 7. Find the relative maxima , relative minima and the saddle points ( if they exist ) of the 1…

A: Given function, If (a,b) is critical point.

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A: Given:  fa,b=a-12-b+22 We use First order conditions to get critical points. According to this the…

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Q: Find all local extreme values of the given function and identify each as a local maximum, local…

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Q: Find the critical points for the function f(x, y) 23 + y3 – 12x? – 27y+1 and classify each as a…

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Q: 2) Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Let f(x)- xx-3 then find the local minimum and local maximum, determine where the function…

A: Given that f(x)=x√(x-3)

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Q: Find all local extreme values of the given function and identify each as a local maximum, local…

A: Given f(x,y)=(x2-4)2+y2-812 To find, Local maxima, minima or saddle point.

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Q: Find and classify the critical points of the function f of local maxima, local minima and saddle…

A: Given function is fx,y=x4+2y2−4xy. Differentiate fx,y=x4+2y2−4xy partially with respect to x and y…

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Q: For the function f(x,y) = 2-x-y+ 3.x + 4 y use the second derivative test to identify any critical…

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Q: (1) Let f(x) = r3/7 – 5x!/5. Find and classify all critical points, all intervals of…

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Q: 3. a) Find the maximum and minimum values of the function f(x, y) triangle T with vertices (0,0),…

A: The volume under the surface: Assume that f(x,y) is continuous in the xy- plane over a rectangular…

Q: Q3: Find the critical points of the following function then test them for local maximum, local…

A: The given function is: f(x,y)=x3+y3-3xy+15 Therefore: fx=3x2-3yfy=3y2-3xfxx=6xfyy=6yfxy=-3

Q: Find all local maximum, local minimum, and saddle points of the following functions. a) f(x, y) = x³…

A: a) The given function is: f(x,y)=x3+8xy-y3 Let fx=0 & fy=0⇒3x2+8y=0 & 8x-3y2=0⇒y=-3x28…

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A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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A: Given  The Function of two variables is defined as , fx,y=2x2-4xy+4y2-8y To find the critical points…

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Q: Find the critical points for the function f(x, y) = 5æ² – 10zy + 6y? – 6y and classify each as a…

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Q: Find all the local maximum and minimum and saddle points, with their values, for the function f(x,…

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Q: The graph of f(x,y)=-+ +76ху has X y One saddle point only. O One local minimum point and one saddle…

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Q: f(x) = 2x² - e²

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Q: Find the critical point of the given function and then determine whether it is a local maximum,…

A: Given function