10. DETAILS SCALC8 3.7.014. A box with a square base and open top must have a...
A box with a square base and open top must have a volume of 4,000 cm. Find the dimensions of the box that minimize the amount of material used.
a box with a square base and open top must have a volume of 32,000 cm^2 . find the dimensions of the box that will minimize the amount of marerial used to make the box.
A box with a square base and open top must have a volume of 296352 cm. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. A(x) = Next, find the derivative, A'(x). A'(x) = The critical value is 3 = The function is decreasing ✓ until the critical...
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...
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...
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...
a box with a square base .6 4. Compute x + 3x4 + 2x3 + 1 -da. 24 일 5. Let F(x) = tet-2+tº +1 dt, find F'(2). tt +3 0 -. A box with a square base and open top must have a volume of 500 cm. Find the dimensions of the box which minimize the amount of material to be used. 2. Draw the graph of f(x) = x ln(1x) - (x - 4) In(x - 41).
1. A box with a square base and an open top is being constructed from 1200 m² of material. Determine the dimensions of the box that will maximize the volume of the box. Briefly show that your answer gives a maximum. Dimensions (Length x Width x Height):
A box with an open top has a square base and four sides of equal height. The volume of the box is 972 ftcubed. The height is 3ft greater than both the length and the width. If the surface area is 513ft squared,what are the dimensions of the box
An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be a minimum? (Round your answers to three decimal places.) square base side length height a eBook An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be...