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.)
Find the dimensions of the box with volume 2744 cm3 that has minimal surface area. (Let...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
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) =
2. A minimal surface is by definition a critical point of the area functional. Show that the graph of the function z(x, y)tany is a minimal surface. (This surface is called the helicoid.) 2. A minimal surface is by definition a critical point of the area functional. Show that the graph of the function z(x, y)tany is a minimal surface. (This surface is called the helicoid.)
If a cube has a surface area of 6 cm? its volume must be 6 cm3 1 cm3 O 18 cm3 O 3cm3 none of the above
BONUS: Use Lagrange multipliers to find the dimensions of the box with largest volume possible and total surface area of 48cm2
5) A rectangular box with no top is to have a surface area of 16 square meters. Find the dimensions that maximize the volume.
in urgent need with help on these three What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two points. What is the objective function in terms of the x-coordinate? (Type an expression.) a. Find the radius and height of a cylindrical soda can with a volume of 398 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a...
Let S be the ‘football’ surface formed by rotating the curve y = 0, x = cos z for z ∈ [−π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area. Please answer in full With full instructions. Let S be the 'football, surface formed by rotating the curve y = 0, x-cosz for-E-π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area 3 Let S be the 'football, surface...
Find the volume of the region under the surface z = xy2 and above the area bounded by x = y2 and x – 2y = 8 Round the answer to the nearest whole number.