(x, y) = 2x³ + 7y³ + 5x² – 5y² – 3 ocal maxima are none ocal minima are none addle points are none

Q: Find the maximum value of s = xy + yz + xz where x + y + z = 6.

A:

Q: Find the absolute extrema of the function f(x, y) = x + y + 3.ry on the closed region bounded by the…

A: Absolute Maximum and Absolute Minimum

Q: Use the Method of Lagrange Multipliers to find the minimum and maximum values of the function f (x,…

A:

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x2 + y? subject to the…

A: Given f(x,y)=x2+y2 and subject to constraint is xy=2 and we need to find the minimum value of given…

Q: Find the extreme values of f(x, y) = x² + 2y² subject to xy = 4 using Lagrange multiplier method.…

A: Here we have to use the Lagrange multiper method

Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ + 10

A: Here we have to find the orthogonal trajectories

Q: 2) By using Lagrange multiplier method, find the maximum value of f(x, y, z)=x+ z subject to the…

A: Given function:-     f(x, y, z) = x + z subject to condition x2 + y2 + z2 = 10

Q: 4/5elue f(X)= X'-2X- 5 Using Secant methed, Cerreet apto 2decimal elases.

A:

Q: Use Lagrange multipliers to find the minimum and maximum values of f (x, y) = 3x − 2y on the circle…

A: fx,y=3x−2yCircle: x2+y2=4                   x2=4−y2                    x=4−y2Substitute the value of…

Q: find the orthogonal trajection of the family of curves x2+y2=a2

A:

Q: Find two nonnegative numbers x and y with 2x + y = 3 for which the term xy² is maximized. by

A: Given 2x+y=30, we need to maximize xy2

Q: - Zxy + In(x) 5. Find constrained maxima and minima of the following function x3 – 2xyz +…

A:

Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the…

A:

Q: f(r, y) x2 – 4xy + y² + 7y+1 Local maxima are none Local minima are none Saddle points are none

A: We have to find the local minima, local maxima and the saddle points of the function of two…

Q: The nature of the stationary point (0, -1) for the function f(x,y), if f= 4-12x, fy= 0 and fry=-4+…

A:

Q: Find positive numbers x and y such that x + y = 48 and 5x2y + 10 is maximized.

A: Given that, x + y= 48 y = 48 - x ................... (1) The function is: f(x, y) = 5x2 y+ 10 f(x) =…

Q: (6) Find the orthogonal trajectories of the family of curves y = ax? + 4ax + 4a, where a being…

A:

Q: A parabola has the equation y^2 = -4ax. Determine the slope of the orthogonal trajectories. 2x/y O…

A:

Q: ) Find the maxima and the minima of z=f(x,y) under the condition y=2x. (d) Find the maxima and the…

A: Max or  Min f(x,y)=(3x2+5y2)e-x2-y2subject to    y=2x

Q: 4. Find the orthogonal trajectories of the family of curves y = Ce* +10

A: Given that : y = Ce2x + 10

Q: 4. Find the orthogonal trajectories of the family of parabola described by the equation (y– 3) = Cx.…

A: The solution of the problem is given in the next step.

Q: / Test the following surfaces for maxima, minima and saddle point: Z (x, y) = xy + 7x² - 12y x2 - 6x…

A: Maxima, minima and saddle points of two variable function can be calculated in following steps: 1.…

Q: Use Lagrange multipliers to maximize the function x, y) subject to the constrai x.)-Say, Sy 20

A:

Q: 3. For z = e2x – 2x + 2y2 + 3 a. Find the critical point(s) b. Classify each point as a local…

A:

Q: Find the orthogonal trajection of the family of curves x2+y2=a2

A:

Q: or the egion bounded by the graphs or the equations. Use a graphing ucility to y = e", y = 0, x = 1,…

A: Given Region bounded by  y=ex , y=0  , x=1 and x=3

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

A:

Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the…

A:

Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the…

A:

Q: f(x, y) = ln(108x +9y) + 6x² - 9y Local maxima are none Local minima are none Saddle points are none…

A: Given f(x,y)=ln(108x+9y)+6x2-9y

Q: Picture attached. Thanks in advance!

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f (x, y, z) = x2 + 2y2 + 3z2…

A:

Q: Find the extreme values of f(x, y) = x² + y² subject to the condition x²y = 1 using Lagrange…

A: solution is given below..

Q: 2) Use Lagrange multipliers to find all extreme values of f (x, y,z)= 2x+2y+z subject to x + y² +z²…

A:

Q: Use Lagrange multipliers to find the highest and the lowest points on the curve of intersection of…

A: Here we have to find the maximum and minimum value of z=x2+4y2 subject to constraint x2+y2=1.

Q: a) Find the extreme values of f(x, y) = x' + y' - 3xy +1 by using the Second Derivatives Test. b)…

A:

Q: Find the orthogonal trajectories of the family of curves y^3 = 3(x-c). Draw a few representative…

A:

Q: Find the maximum and minimum values of the function f(z, g) ry subject to 3z+ 2y = 18 Maximum value:…

A: Given : f(x, y) = x²y subject to 3x² + 2y² = 18

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = x2 + y? subject to ry =…

A: Given function is fx,y=x2+y2 and constraint is xy=1

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⇒…

Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ +10

A: Given that, Family of curves is following, y = Ce2x + 10…

Q: Consider (r, y, z) = x² + y? + 2? + 2ryz. Show that (0,0,0) and (-1, 1, 1) are both critical points.…

A:

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

A: We have to find orthogonal trajectories of the family of the curves y2=5kx3.

Q: 8. Use Lagrange multipliers to determine the absolute maximum and the absolute minimum of f(x, y) =…

A:

Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. kx2…

A: The given family of curves is kx2+y2=1. Differentiate both sides of the above equation with respect…

Q: Minimize z = x + 4y Зу + 4x > 24 Зу + 2х > 16 Subject to 2y + 2x > 14 Minimum is at y = AI AL AI

A: The given problem is a linear programming problem. We are using the graphical method to solve. The…

Q: Find two numbers x and y with x-y = 20 for which the term xy is minimized.

A: In this problem, we have to find the two numbers "x and y"

Q: Find the orthogonal trajectories of the family of curves y3 = 3(x – c). Draw a few representative…

A: We will find out the required solution.

Q: Minimize f(x,y)=x2-y2 subject to the contraint 3x-7y=-4 when the minimum occurs, what is  a. x?…

A: