28.- Use Lagrange Multipliers to find the maximum and minimum values of f subject to the given constraint 4x2 +8y2...
Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x,y)=xy; 20x2+5y2=640 Enter your answers for the points in order of increasing x-value. Maximum: at (,) and (,) Minimum: at (,) and (,)
Use Lagrange multipliers to find the maximum and minimum values off subject to the given constraint. Also find the points at which these extreme values oco (x,y) = xy: 3242 +9y2 - 10368 Enter your answers for the points in order of increasing X-value Maximum: 3 and d Minimum and
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If a value does not exist, enter NONE.) f(x,y,z) = x2 + y2 + z2; x4 + y4 + z4 = 1
Use Lagrange multipliers to find the maximum value for the volume of a rectangular box in the first octant with faces in the coordinate planes. One vertex is at the origin and the opposite vertex is in the plane 6x + 3y +72 = 3 Note: Keep your answer in fraction form. For example, write 1/2 instead of 0.5. The Maximum Volume is V=
how to do part A B and C? Use Lagrange multipliers to find the maximum and minimum values of the function f subject to the given constraints g and h f(x, y, z)-yz-6xy; subject to g : xy-1-0 h:ỷ +42-32-0 and a) (i)Write out the three Lagrange conditions, i.e. Vf-AVg +yVh Type 1 for A and j for y and do not rearrange any of the equations Lagrange condition along x-direction: Lagrange condition along y-direction: Lagrange condition along z-direction: 0.5...
(1 point) Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = x + 5y + 4z, subject to the constraint x2 + y2 + z2 = 9, if such values exist. maximum = minimum = (For either value, enter DNE if there is no such value.)
Chapter 8, Section 8.6, Question 001 Use Lagrange multipliers to find the maximum and minimum values of f (x, y) = x +9y subject to the constraint x² + y2 = 36, if such values exist. Round your answers to three decimal places. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Maximum = Minimum =
7–26. Lagrange multipliers Each function f has an absolute maximum value and absolute minimum value subject to the given constraint. Use Lagrange multipliers to find these values. 12. f(x, y) = x - y subject to x² + y2 – 3xy 20
Chapter 15, Section 15.3, Question 007 Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4xy subject to the constraint 5x + 4y = 50, if such values exist. Enter the exact answers. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Maximum= Minimum =
Chapter 15, Review Exercises, Question 017 Use Lagrange multipliers to find the maximum and minimum values of f (x, y, z) = x² – 18y+ 2022 subject to the constraint x2 + y2 + z2 = 1, if such values exist. Enter the exact answers. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Maximum = Minimum =