Find the global maximum and minimum values of f(x, y) = 2x3 +y? – 24x on the Q2. closed region D = {(x, y): (x – 1)² + y² < 1,0 < x < 1}. use the Lagrange multipliers algorithm at some point. D-

Q: Find the local minimum and maximum of y= x2/ 3 + x2

A:

Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: find a so that f (x) = ax2 + 8x -8 has a minimum value of -24

A: According to the given information, it is required to find the value of a so, that the function f(x)…

Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: Use Lagrange multipliers to find the points on the sphere ² + x² + y² − 2y − 10 = 0 closest to and…

A:

Q: (b) Find the global maximum and minimum values and indicate where they occur. f (x) ,x, ) = 2x, + x,…

A: Find the global maximum and minimum values and indicate where they…

Q: Find the maximum value of f(x)=−5x2+5x+6 on the interval [−20,20]

A:

Q: Suppose that x and y are two positive real numbers so that x + y = 10. Maximize the product xy

A: To find the solution of the given problem use the second derivative test. Second derivative test:…

Q: flx, v) =e-x2+y2. Using Lagrange multipliers we need to find the maximum and minimum values of f (if…

A: Given function is: f(x, y) = e-x2+y2 Constraint: x2 + y2 = 5

Q: Find maxima, minima, and chairs of the function f (x,y) = (x² + y²)e(x+y) x² + y² < 4. in the region

A: The given functionisfx,y=x2+y2ex+y.To find the maxima, minima and chairs of the functionin the…

Q: The function Ax) = -2x(x - 1)(x - 2)(x+ 2) %3D has 4 zeros. has a maximum O as x→-∞, y–-∞ all of the…

A:

Q: Use the Lagrange multiplier method to find the values of and y that minimise the function 2x2 + y²…

A: Let us consider the function f(x,y)  To determine the maximum and minimum value of the function…

Q: Find the minimum value ofx +y +z² given x+y+z=3a.

A:

Q: Find the maximum value of |2iz+ 3| on |z| < 1.

A:

Q: Fixsy)ニメーーツ coustalaト: xty?こ4

A:

Q: Find x1 20 and x2 20 such that X1 + X2 < 10 5x1 + 2x2 < 20 X1 + 2x2 < 36 and z = x1 + 3x2 is…

A: