find absolute maximum and minimum of f(x,y)=x^3+3xy-3y^2+2 in a region whose vertices at (-1,-1) (-1,1) (1,1) (1,-1

Q: Find the absolute minimum and absolute maximum of the function f(x, y) = x^3 – 2y^3 + 3y + (x – 1)^2…

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Q: An equation of the tangent plane to the surface 1+y Z = at the point p(1, 7, 4) is 1+x (A) 2(x+1) -…

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Q: Find the best quadratic approximation, Q(x, y) of V9 + 7x + 5y for (x, y) near (0,0), Q(x, y) :…

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Q: u = x² + y³ + z*, X = s•t = s2 +t2 y = z = s-t

A: We find complex function

Q: Find the Partial Derivatives of the functions with respect to cach variable Mathematies Second Fear…

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Q: In substituting the point (4,1,2) in the partial derivatives, why does the terms without x and y…

A: In part (2), we have the following: ∂g∂x4,1,2=-π1 sin4π -14-1 ln3log332 Now, sin4π=0 So,…

Q: If A = 3a_0 + 2a_0 - 5a_z and B = -2a_p + 3a_0- a_z are given at points P(3,T1/6,5) and Q(4,T1/3,3)…

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Q: Determine the minimum point of fx) =x,²+x,x, +x,² – 3x, – 3x, by using conjugate gradient method,…

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Q: Show that f(fdx + gdy = f( 18x²y'da +24y³a³dy is independent of path: (9,3) (4,-4) af = 72x^2y^3 dy…

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Q: Show that the following are not llinear transformations, explain why. T(x,y) = (x^3, xy, y) T(x,y)…

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Q: Find all the second order partial derivatives of the given function. f(x, y) = In (x 2y - x) O a2€ _…

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Q: Solve xy² - xy + y = 2x, xx (Cauchy-Exter; variation of parameters)

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Q: Which of these points are local minima? □ (-√2,-1) (-√2,1) (√2,-1) (√2, 1) □ (√2,0) □ (-√2,0)

A: The given function is                      We have to find local minimum and…

Q: find the local maximum and minimum values and saddle points of the function f(x,y)=9(x-y)e-x^2-y^2

A: Given fx,y=9(x-y)e-x2-y2. Now,…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.