These questions are giving me a headache. Please tackle them correctly.

1.What will be the maximizing value of |z|2/f(z) where f(z) equals |z|2+Re z(2(z+z)+3(z-z)/2i?

2.Given that f(z)=arg 1/(1 - z), determine range f(z) for |z|=1, z1.

3.Find the velocity at the end of 2 seconds where x = t3 + 6t2 - 15t + 18. Distance is x cm in t seconds.

4.Given that f(x) = ex and a = 0, b = 1, determine through the Lagrange's mean value theorem the value of 'C'

5.Determine|x+iy| given that (x2-6x+8)+i(y2-9x+10) and (x2-3x+2)+i(y2-11y+40) are complex numbers which conjugate each other.

6.Given that rectangle Q has its vertices as the roots, find the are of zz3+zz3=350 whereRe(z) and Im(z) are integers.

7.Assuming the expressione-2kL; determine its representation.

8.Determine the outcome of solving for E > Vo.

9.What is the property exhibited in y(t)=x(1-t)?

10.When can we term x(t) or x(n) as energy signals?