In the diagram on the right, the lines L1 and
L2 are tangent to the graph of e ax and e -ax, respectively, at the points P1 and P2. The line segments TP1 and TP2 are perpendicular to these tangent lines at P1 and P2.
In the diagram on the right, the lines L1 and
L2 are tangent to the graph of
e ax
and e -ax, respectively, at the points
P1 and P2. The line segments
TP1 and TP2 are perpendicular to
these tangent lines at P1 and P2.
Find the area of the quadrilateral formed by the origin and the points T, P1, P2. Which value of a > 1 minimizes this area?
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