A Rain Gutter Is To Be Made Of Aluminum Sheets That Are 12 Inches Wide

The area a of the opening may be expressed as the function.

A rain gutter is to be made of aluminum sheets that are 12 inches wide.

Determine the depth of the gutter that will maximize its cross sectional area and allow the greatest amount of water to flow let the height be x then base is 12 2x area x 12 2x 2x 2 12x. Round to the nearest tenth of an inch. Determine the depth of the gutter that will maximize its cross sectional area and allow the greatest amount of water to flow. After marking off a length of 4 inches from each edge this length is bent up at an angle θ.

Wide is to be made into a gutter by turning up sides of equal length perpendicular to the sheet. Determine the depth of the gutter that will allow a cross sectional area of 60 square inches. If θ 45 what is the area of the opening. The edges are turned up to form right angles.

A what depth will provide maximum cross sectional area and hence allow the most water to flow. A long rectangular sheet of metal 10 in. Show that there are two different solutions to the problem. A rain gutter is made from sheets of aluminum that are 12 inches wide by turning up the edges to form right angles.

A rain gutter is to be made of aluminum sheets that are 24 inches wide by turning up the edges 90. A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90 degrees what depth will provide maximum cross sectional area and hence allow the most water to flow. The edges are turned up to form right angles. A θ 16 sin θ cos θ 1.

A rain gutter is to be constructed of aluminum sheets 12 inches wide. B what depths will allow at least 16 square inches of water to flow. Find the length that must be turned up to produce a gutter with a maximum cross sectional area. Let x depth of the gutter then 18 2x width of the gutter.

Determine the depth of the gutter that will allow a cross sectional area of 13 square inches. See the hlustration what depth will provide maximum cross sectional wrea and hence allow the most water to flow. B what depths will allow at least 54 square inches of water to flow. Round to the nearest tenth of an inch.

A depth width a. There are two solutions to this problem. A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90.