1. Agutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches wide by turning up one-third of the width on each side. What width across the top will give the greatest cross-sectional area?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. No figure, no
credit.
1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is
15 inches wide by turning up one-third of the width on each side. What width across
the top will give the greatest cross-sectional area?
2. Find the dimensions of the right circular cone of greatest lateral area that can be
inscribed in a sphere of radius 25 centimeters.
Transcribed Image Text:IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. No figure, no credit. 1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches wide by turning up one-third of the width on each side. What width across the top will give the greatest cross-sectional area? 2. Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a sphere of radius 25 centimeters.
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