A trough for feeding cattle is 4 meters long and its cross sections are isosceles triangles with the two equal sides being 1 2 meter (see figure) The angle between the two sides is Icirc cedil (a) Write the volume of the trough as a function of Icirc cedil 2 (b) Write the volume of the trough as a function of Icirc cedil and determine the value of Icirc cedil such that the volume is maximized 4 m l l

Question: A trough for feeding cattle is 4 meters long and its cross sections are isosceles triangles with the two equal sides being 1/2 meter (see

A trough for feeding cattle is 4 meters long and its cross sections are isosceles triangles with the two equal sides being 1/2 meter (see figure). The angle between the two sides is Î¸.

(a) Write the volume of the trough as a function of Î¸ / 2.
(b) Write the volume of the trough as a function of Î¸ and determine the value of Î¸ such that the volume is maximized.

4 m -l =l

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