1a. Express  
       2x − 1         
(2x − 3)(x − 1)
in partial fraction form
 

          −

  1b Given a 3 × 3 matrix in terms of a scalar c and that det(A) = 8 , find the value(s) of c if
 
2          1       3
A   =           c        2        4
c − 2       3     c + 7
1c Given that

(a)      Show that

2 log2(x + 15) − log2 x = 6
x2 − 34x + 225 = 0

(b)      Hence or otherwise, solve the equation
2 log2(x + 15) − log2 x = 6​

Aspecified volume of space contains an electric field for which the magnitude is given by e=e0cos(ωt). suppose that e0 = 20 v/m and ω = 1.0 × 107 s−1. part a what is the maximum displacement current through a 0.80 m2 cross-sectional area of this volume? express your answer with the appropriate units. idisp,max i d i s p , m a x = nothing nothing request answer part b how would this area have to be oriented relative to the electric field to get this maximum displacement current?