Use a graphing utility to graph V(x) = x(12- 2x)2, which expresses the volume of a...

Use a graphing utility to graph V(x) = x(12- 2x)², which expresses the volume of a box, V, as a function of the length of the side of the square cut from each corner, x, of a sheet of square cardboard with a side length of 12 inches. Then use the trace button or maximum function feature to find the length of the side of the square that should be cut from each corner of the cardboard to create a box with the greatest possible volume. What is the maximum volume of the open box?

a. What is the length of the side of the square that should be cut from each corner of the cardboard to create a box with the greatest possible volume?

(Round to the nearest inch as needed.)

b. What is the maximum volume of the open box?

_ in³ (round to nearest inch)

Expert Solution

from the graph ,length to be cut = 2 inches,

maximum volume of the box = 128 cubic inches

Colby Messinger answered 2 years ago

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Question

Use a graphing utility to graph V(x) = x(12- 2x)2, which expresses the volume of a...

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Expert Solution

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Expert Solution

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Use a graphing utility to graph V(x) = x(12- 2x)2, which expresses the volume of a...