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A rectangular tank with a square base, an open top, and a volume of 6912 n°...
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 rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed o...
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...
Test: Test 3 04 This Question: 5 pts Time Remaining: 01:57:15 Submit Tes 1e f 1 6 complie This Te...
Test: Test 3 04 This Question: 5 pts Time Remaining: 01:57:15 Submit Tes 1e f 1 6 complie This Test: 94 pts possibl A rectangular tank that is 32 t with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the tank with minimum weight 05/ The dimensions of the tank with minimum weight are □ n. 5/ (Simplity your answer. Use a comma to separate answers.) of...
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?
19. Minimizing surface area. Mendoza Soup Company is constructing an open-top, square-based, rectangular metal tank that...
19. Minimizing surface area. Mendoza Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 32 ft. What dimensions will minimize surface area? What is the minimum surface area?
A company is constructing an open-top, square based, rectangular metal tank that will have a volume...
A company is constructing an open-top, square based, rectangular metal tank that will have a volume of 31 cubic feet. What dimensions yield the minimum surface area? Round to the newest tenth O A 4.0 feet x 40 feet x 2.0 feet OB. 31 feet 31 feet * 3.1 feet OC. 79 feet x 7 9 feet x05 feet OD. 45 tot 45 feet x 15 feet
MathCad on block solve 3. A square bottomed, open-top tank is to be made from a...
MathCad on block solve
3. A square bottomed, open-top tank is to be made from a sheet of metal by bending and welding. The specifications are that the volume is to be 15.0 f using the minimum sheet area. Define the volume and surface area as functions of a and b. Find the dimensions a and b in inches and display your answer as whole numbers. Als, calculate the surface area and verify the volume using your found values of...
All boxes with a square base, an open top, and a volume of 200 ftº have...
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...
Y 240 All boxes with a square base, an open top, and a volume of 60...
Y 240 All boxes with a square base, an open top, and a volume of 60 ft have a surface area given by S(x)= x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). 240 S'(x) = 2x- The absolute minimum value of the surface...
14. A cardboard box with volume 32 cubic inches, square base, and open top is to...
14. A cardboard box with volume 32 cubic inches, square base, and open top is to be constructed. Find the minimum area of cardboard needed, neglecting waste. Show all work and use the Second Derivative Test to verify you have found the minimum.
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 rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...
Test: Test 3 04 This Question: 5 pts Time Remaining: 01:57:15 Submit Tes 1e f 1 6 complie This Test: 94 pts possibl A rectangular tank that is 32 t with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the tank with minimum weight 05/ The dimensions of the tank with minimum weight are □ n. 5/ (Simplity your answer. Use a comma to separate answers.) of...
19. Minimizing surface area. Mendoza Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 32 ft. What dimensions will minimize surface area? What is the minimum surface area?
A company is constructing an open-top, square based, rectangular metal tank that will have a volume of 31 cubic feet. What dimensions yield the minimum surface area? Round to the newest tenth O A 4.0 feet x 40 feet x 2.0 feet OB. 31 feet 31 feet * 3.1 feet OC. 79 feet x 7 9 feet x05 feet OD. 45 tot 45 feet x 15 feet
MathCad on block solve
3. A square bottomed, open-top tank is to be made from a sheet of metal by bending and welding. The specifications are that the volume is to be 15.0 f using the minimum sheet area. Define the volume and surface area as functions of a and b. Find the dimensions a and b in inches and display your answer as whole numbers. Als, calculate the surface area and verify the volume using your found values of...
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...
Y 240 All boxes with a square base, an open top, and a volume of 60 ft have a surface area given by S(x)= x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). 240 S'(x) = 2x- The absolute minimum value of the surface...
14. A cardboard box with volume 32 cubic inches, square base, and open top is to be constructed. Find the minimum area of cardboard needed, neglecting waste. Show all work and use the Second Derivative Test to verify you have found the minimum.
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