41 - 42 Maxima and Minima Problems Involving Trapezoidal Gutter

Problem 41
In Problem 39, if the strip is L in. wide, and the width across the top is T in. (T < L), what base width gives the maximum capacity?

Solution:

 

Problem 42
From a strip of tin 14 inches a trapezoidal gutter is to be made by bending up the sides at an angle of 45°. Find the width of the base for greatest carrying capacity.

Solution:

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