1. Find the number of zeros of in the annulus

2. If show that the equation has one root in .  If a is a number such that a>e, show that this root is positive.

3.  Show that the equation

   has exactly one root in each quadrant.

       4.  Show that

    has exactly two roots inside.

        5.  Show that

 has exactly one root in each of the first and fourth quadrants and exactly two  

 roots in each of the second and third quadrants.

6.  Show that all the roots of

      lie between the circles  and .