2. What is the volume of the largest rectangular box with sides parallel to the coordinate...
(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 =
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...
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=
A rectangle with sides parallel to the coordinate axes is inscribed inthe ellipsex2/a2 + y2/b2 = 1:Find the largest possible area for this rectangle.
(a) For a unit cube with sides along the coordinate axes, what is its deformed volume? What is the deformed area of the e, face of the cube? (b) If the Cauchy stress tensor is given by 712 = 721 = 100 MPa, and all other Tij = 0, calculate the first Piola-Kirchhoff stress tensor and the corresponding pseudo-stress vector for the plane whose undeformed plane is the e-plane and compare it with the Cauchy stress vector in the deformed...
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that the box has the largest possible volume. Also, find the volume of the box
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a volume of 1000 in. Find the dimensions of the box with the smallest amount of material used. 3. Use I'Hopital's rule to find 2 cos z-2+2
1200 2of material in available to smake a rectangular box with ae se and open...
Use a change of variables to find the volume of the solid region lying below the surface -f(x, y) and above the plane region R x, y)xy)e- R: region bounded by the square with vertices (4, 0), (6, 2), (4, 4), (2, 2)
Use a change of variables to find the volume of the solid region lying below the surface -f(x, y) and above the plane region R x, y)xy)e- R: region bounded by the square with vertices (4, 0),...