(15 points) Use the Method of Lagrange Multipliers to find the rectangular box of maximum volume if the sum of the lengths of edges is 300 cm. (15 points) Use the Method of Lagrange Multipli...
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=
Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is 66 ft. (x, y, z) =
Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is 66 ft. (x, y, z) =
28.- Use Lagrange Multipliers to find the maximum and minimum values of f subject to the given constraint 4x2 +8y2 16 f(x,y) -xy 29.- Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes 28.- Use Lagrange Multipliers to find the maximum and minimum values of f subject to the given constraint 4x2 +8y2 16 f(x,y) -xy 29.- Find the volume of the largest rectangular box in the first octant with...
BONUS: Use Lagrange multipliers to find the dimensions of the box with largest volume possible and total surface area of 48cm2
Use the method of Lagrange Multipliers to find the points on the surface ?? − ? 2 = 9 that are closest to the origin
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 (,)
Maximum perimeter rectangle Use Lagrange multipliers to find the dimensions of the rectangle with the maximum perimeter that can be inscribed with sides parallel to the coordinate axes in the ellipse x2/a2 + y2/b2 = 1.
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 =
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