A stick of length one meter is broken at two locations at distances of \( b_1 \) and \( b_2 \) from the origin (0), as shown in the figure. Note that \( 0<b_1<b_2<1 \). Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?
Note: All lengths are in meter. The figure shown is representative.

Given a function \( y(x) \) satisfying the differential equation \[ y'' - 0.25y = 0, \] with initial conditions \( y(0) = 1 \); \( y'(0) = 1 \), what is the value of \( y(\log_e 100) \)?
here, y' and y'' are the first and second derivatives of y, respectively.
If \( f(x) = x - \frac{1}{x} \), the value of
