17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.
1 answer:
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The Lagrangian is
with critical points where the partial derivatives vanish:
The second and third equations tell us , so that in the last equation we find
and from the fourth equation we get
So we have two critical points, and
, which give respective extreme values of
(maximum) and
(minimum).