Find the extreme values of f(x,y,z) = x² + 2y² + 3z² subject to the constraint x-y-z = 1. 6 O A. There is no maximum. The minimum is 11 OB. The maximum is O c. The maximum is 6 11 6 11 at at 6 11' 3 2 11'11 6 3 2 11' 11' 11 6 3 2 at (17--7-7-7) 11 11' 11 There is no minimum. There is no minimum.

Q: The minimum value of the function f(x, y) = 8x² – 2y +1 subject to the constraint x + y = 1 is:…

A:

Q: 4. Which of the following functions has a maximum value? a. f(x) = x- 3x + 4 b. f(x) = 2x + 5x + 3…

A:

Q: 5) Find the absolute minimum and maximum points of the function f(x, y) = 2x²y + x² - 2y-1 over the…

A:

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: 3. Show that the function 2x² - 2xy + y² +8x-6y is convex. Find its global minimum value.

A:

Q: min f(x. y) = (x – 4)² +y- 4)? subject to x+y<4 and x+3y <9 a. Discuss whether a solution exists for…

A:

Q: h(z) = x² - 16z + 60? What is the minimum value of

A: First method: Given: hx=x2-16x+60 Add and subtract 64 from h(x) to complete the square. Therefore,…

Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

A:

Q: Maximize B = 4xy, where x and y are positive numbers such that x+ y 3. The maximum value of B is…

A: We can use the application of derivatives to find the answer.

Q: Find the minimum and maximum values of the function f(x, y, z) = x² + y² + z² subject to the…

A:

Q: Find the absolute minimum value of the function f (x, y) = 2x² + 2y? subject to the constraint 9x2 +…

A:

Q: Find the minimum and maximum values of the function f(x, y) = x²y + x + y subject to the constraint…

A: subject to the constraint .We have to find maximum and minimum values of the given function.

Q: Find the minimum and maximum values of the function f(x, y, z) = x - y-2° subject to the constraint…

A:

Q: Find points on the straight line segment joining (-3,-1) and (3, 2) wher the function f(x, y) = xy²…

A: Find equation of line joining two points

Q: 11. Determine three positive numbers x, y and z whose sum is 10 that produce a maximum value for the…

A: x,y and z be the three positive numbers whose sum is 10that produce a maximum value for x2yz

Q: 7. Find the minimum of, f(x1, x2) = 2x? – X1X2 + 2x³ + x³ – 2x1x3 And check the second order…

A: This is a problem of multi-variable calculus.

Q: 6. The domain of y = v1 – x? is

A:

Q: Find the minimum and maximum values of the function f(x, y) = x²y + x + y subject to the constraint…

A:

Q: Find the minimum and maximum values of the function f(x, y, z) = x² + y² + z² subject to the…

A:

Q: 12. The functionf is defined on the interval [-2, 3] by f(x) = (3+2x - x2)'. If M is the maximum…

A:

Q: 14. For which values of x does f{x) x' + 8x" have a maximum or minimum value? -X а. 0,2 b. 0 с. 0, 3…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: f(x) = 2x3+az? 12z has alocal maximum at z -2,then a

A: f(x)=2x3+ax2-12x  has a local maximum at x=-2then we have to find the value of a