Whoever will answer these difficult questions correctly will get good ratings.

1.Assuming that zk=cos(2k/10)+isin(2k/10), determine if f(z)=|1-z| the value of f(z1)f(z2)...f(z9).

2.Having x, y and z as simultaneously unequal integers and with Im()1 as a cube root of unity, determine the range of |f()| given that f(z)=az2+bz+c.

3.Determine the value of log1030.5 given that log10e = 0.4343 and log103 = 0.4771

4.Determine the slope of the tangent of the curve y = 2x/(x2 + 1) at (0, 0).

5.Give an expression that can be used to represent x2-y2=1 on the Argand plane.

6.Find the pq given that Arg(p)-Arg(q)=/2 and |pq|=1.

7.Give a representation for the function Aekx+ Be-kx and the particle,

8.Confining an electron to a one nm atom which is infinite, determine the energy zero-point.

9.Determine the value of x(n) given that x(2n) is (0,2,3,0,0,0,0,0).

10.Determine the period ofx(t)=x1(t)+x2(t)T1 and T2 are fundamental periods of x1(t) and x2(t).