4. An aquarium with rectangular sides and bottom (but no top) is supposed to have a...
4. An aquarium with rectangular sides and bottom (but no top) is supposed to have a fixed volume V . Find its proportions so that it will use the least amount of material (in terms of the total surface area of the glass). Ignore the thickness of the glass.(6 points)
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4. An aquarium with rectangular sides and bottom (but no top) is
supposed to have a...
(1 point) Viewing Window The underwater viewing window of a dolphin aquarium is rectangular and has...
(1 point) Viewing Window The underwater viewing window of a dolphin aquarium is rectangular and has a width W 15 m (into the page), height H 3 m, and thickness t. The window is located such that its top edge is h = 15 m below the water surface. As a poor design choice, the window is bonded to the walls of the aquarium along its top, bottom, and side surfaces (all surfaces except the two that are necessary for...
A rectangular tank with a square base and no top is to have a volume of...
A rectangular tank with a square base and no top is to have a volume of 10 m3 . Material for the bottom of the tank costs $15/m2 and material for the sides costs $6/m2 a. Find the dimensions of the cheapest such tank that can be constructed. b. How much would the tank in part a. cost to build?
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...
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 rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimension...
A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the cost of the box if the material of the bottom costs 16 cents per square inch, and the material of the sides costs 1 cent per square inch.
A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the...
What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two p...
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...
A rectangular wooden block of thickness 5.00 cm and top (and bottom) surface area 100 cm2...
A rectangular wooden block of thickness 5.00 cm and top (and bottom) surface area 100 cm2 is held stationary at a depth of 5.00 m in a large tub of glycerin by a single cable attached to the bottom of the block. If the density of glycerin is 1.26 x 103 kg/m3 and the density of the wood is 0.765 x 103 kg/m3, Determine the tension in the cable.
A rectangular tank with a square base, an open top, and a volume of 864 n...
A rectangular tank with a square base, an open top, and a volume of 864 n is to be constructed of sheet stoel. Find the dimensions of the tank that has the minimum surface area, Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the primary equation in terms of A-O (Type an expression.) The domain of the primary equation is (Simplify your answer. Type...
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...
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...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
A shipping company must design a closed rectangular shipping crate with a square base. The volume...
A shipping company must design a closed rectangular shipping crate with a square base. The volume is 8748 ft". The material for the top and sides costs $3 per square foot and the material for the bottom costs $6 per square foot. Find the dimensions of the crate that will minimize the total cost of material. Answer 7 Points Keypad Keyboard Shortcuts ft by ft by ft
(1 point) Viewing Window The underwater viewing window of a dolphin aquarium is rectangular and has a width W 15 m (into the page), height H 3 m, and thickness t. The window is located such that its top edge is h = 15 m below the water surface. As a poor design choice, the window is bonded to the walls of the aquarium along its top, bottom, and side surfaces (all surfaces except the two that are necessary for...
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 rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the cost of the box if the material of the bottom costs 16 cents per square inch, and the material of the sides costs 1 cent per square inch.
A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the...
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...
A rectangular tank with a square base, an open top, and a volume of 864 n is to be constructed of sheet stoel. Find the dimensions of the tank that has the minimum surface area, Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the primary equation in terms of A-O (Type an expression.) The domain of the primary equation is (Simplify your answer. Type...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
A shipping company must design a closed rectangular shipping crate with a square base. The volume is 8748 ft". The material for the top and sides costs $3 per square foot and the material for the bottom costs $6 per square foot. Find the dimensions of the crate that will minimize the total cost of material. Answer 7 Points Keypad Keyboard Shortcuts ft by ft by ft
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