9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108 inches wide by turning up √108 inches on each side. What is the depth of the gutter for the greatest carrying capacity? Give your answer in exact form(not decimal form).

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter6: Fundamental Dimensions And Units
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9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is
4√108 inches wide by turning up √108 inches on each side. What is the depth of the
gutter for the greatest carrying capacity? Give your answer in exact form(not decimal
form).

 

10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and
the altitude is 4 ft if the altitude is increasing at 6 inches per min and the radius is constant?

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