Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) g(x) = x2 + 5x + 4   Relative maximum (x,y) =  relative minimum (x,y)=   f(x) = x3 − 75x + 1   Relative maximum (x,y)= relative minimum (x,y)=   f(x) = 3x4 − 4x3 + 6   Relative maximum (x,y)= Relative minimum (x,y)=

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Q: Find local minimum, maximum and saddle point for equation below  f(x,y) = x^3 +y^3 -3x^2 -9y^2 -9x

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Q: f(x, y) = x² + xy + y² + y f(x, y) = xy – 2x – 2y – x² – y²

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Q: Find local minima, local maxima, and saddle point of: f(x, y) = 4 + x³ + y3 – 3xy.

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Q: Find the critical numbers of the function. y-4 g(v) = y2 - 2y + 8

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Q: Find the relative maxima and minima of y by the second-derivative test: (a) y = -2x2 + 8x = 25…

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Q: Use the Second Partial Derivative Test to find all critical points for the following function ?(?,…

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Q: (a) Starting from the initial trial solution (x1, x2) = (0, 0), apply the gradient search procedure…

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

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Q: 7) Find the critical point (s) of f(x, y) = 2x³ + 3y² - 9x² - 30y + 12x-3. Then use the second…

A: solution is given below...

Q: 3. а) Find the local maxima, minima and saddle points of the function f (x, y) = x² + y³ + 2xy. %3D…

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Q: 1. Find the relative maxima and minima of y by the second-derivative test: (a) y = --2x? + 8x + 25…

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Q: 5 Find the point X to minimize the function f(x1, x2) =1+¤1 +2x2+ from the strating point X, = using…

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Q: Maximize F=x+y subject to:  x+2y≤8  x≤6  x, y ≥0 Corner points at ____________________ Maximum…

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x² 5x…

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

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Q: Find the maximum of U.  Find the optimum using the the Lagrangian method: U=(x+3)(y+5) subject to…

A: Given, Ux,y=x+3y+5 with the constraint Vx,y=3x+2y-30.Using Lagrange mulitplier'sUx=λVxy+5=λ3y=3λ-5…

Q: 3. Find the Absolute Minimum and Absolute Maximum of f(x,y)=xy subject to 2x² +8y² =144 Fully…

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Q: 1. function f(r, y) = 4(x² + y²)e *. Find the local maximum and minimum values and saddle point(s)…

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Q: 3. Find a linear approximation to the function at the point x = 3. y = f(x) = x²e + 8x

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Q: We know that f(x, y, z)= x³- 9x² + y² + z² +24x-4z +20. Determine the optimum value of the function…

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Q: maximize f(x,y)=xy subject to the contraint 6x+y=18  the last question is what is the maximum valye…

A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

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Q: 4) Find the orthogonal trajectories of the family of parabolas y – 3 = c(x + 1)².

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Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y² . 5kx3…

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Q: (b) Find the linearization of function S(x) = Vx V220 at a=216 and use approximate number (c)Find…

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Q: Find the critical point (x0,y0) of the function f(x,y)=(√(x2+y2))+1.

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Q: Find the maximum of U.  Find the optimum using the the Lagrangian method:   U=x1^(1/2) * x2^(1/2)…

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Q: f(x,y) = (x² + y²)e»²-

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Q: Find the critical numbers of the function. g(y) = y-5/y2-3y+15

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Q: The value of Wronskian of two functions y, =7* and y2 =7** is

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Q: i. Discuss and sketch the curve x² + 6 x = -8 y – 25 ii. For the curve y = x3 – 6 x2 + 10 - (a) Find…

A: (i) Given equation of the curve is x2+6x=-8y-25 This can be rewritten as,…

Q: Find local minimum, maximum and saddle point for equation below  f(x,y) = x^3 +y^3 -3x^2 -9y^2 -9

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