1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 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?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
18 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 30 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 18 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 30 centimeters.
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