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Use Lagrange multipliers to find the maximum value for the volume of a rectangular box in...
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...
(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.
please solve 9 and extra credit: find the volume of the solid bounded by the three coordinate planes and the plane 6x + 8y + 2z - 24 = Problem 9. Find the largest possible volume of the rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane 3r +y+2z 12. Problem ro. Compute the integral (sncos y)drdy. Extra Problem. Find the volume of the solid bounded by the three coordinate...
BONUS: Use Lagrange multipliers to find the dimensions of the box with largest volume possible and total surface area of 48cm2
Use Lagrange multipliers to solve the given optimization problem. HINT [See Example 2.] Find the maximum value of f(x, y) = xy subject to x + 2y = 72. Fmax = Also find the corresponding point (x, y). (x, y) = (1
1. Find the absolute maximum and minimum values of f(r,y) = x2+y2+5y on the disc {(x, y) | x2+y2 < 4}, and identify the points where these values are attained 2. Find the absolute maximum and minimum values of f(x, y) = x3 - 3x - y* + 12y on the closed region bounded by the quadrilateral with vertices at (0,0), (2,2), (2,3), (0,3), and identify the points where these values are attained. 3. A rectangular box is to have...
do 9 e it with the actual change. k, find vectors u, o, such that the three dicular local critical points of the function f(z, y) = x2 +y2-2x + 1; 1y Is a local minimum, local maximum, or saddle point. em 8. Where is the tangent plane horizontal for the surface Find the largest possible volume of the rectangular box in the first t with Problem 9 three faces in the coordinate planes and one vertex in the plane...
(1 point) Find the maximum volume of a rectangular box that can be inscribed in the ellipsoid x2 y2 + + 1. 81 9 49 with sides parallel to the coordinate axes. Volume =
Find the volume of the solid bounded by the cylinder x2 + y2 = 1, and the planes 2x + 3y + 2z = 7 and 2 = 0 (Note: Remember to type pi for 7. Also keep fractions, for example write 1/2 not 0.5.) V= M
summatize the following info and break them into differeng key points. write them in yojr own words apartus 6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...