BONUS: Use Lagrange multipliers to find the dimensions of the box with largest volume possible and...
(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 Multipliers to find the rectangular box of maximum volume if the sum of the lengths of edges is 300 cm.
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=
Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse = 1 with sides parallel to the coordinate axes Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-acis.
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...
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.
6. Find the dimensions of the largest (by volume) possible lidless rectangular box you can make out of 48 square inches of material.
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 minimum distance from the curve or surface to the indicated point. Surface Point Plane: x + y + z = 1 (4, 1, 1) 83 V 10 Need Help? Read It Talk to a Tutor
Find the dimensions of the box with volume 2744 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point (0, 3, 5)