Answers for tutorial 7:

1. -R2/R1 \frac{1 + s C1 R1} { 1 + s C2 R2}
2. v_E can be written as:
   v_E = v_{in} \frac{g_m R_E A}{1 + g_m R_E + g_m R_E A}
   As A tends to \infty, v_E becomes equal to v_{in}. This means current through R_E becomes v_{in}/R_E. Current through R_E is the same as current through R_C. Output voltage is therefore -v_{in} R_C/R_E.
3. v(t) = A cos(wt + phi) where w = 1/(RC). A and phi are arbitrary constants of integration.
4. A(s) = wu/s; here the bandwidth can be expressed as wu/(1+R2/R1).
   A(s) = A/(1 + s/wp); here the bandwidth can be expressed as wp(A + 1 + R2/R1)/(1 + R2/R1).
5. DC gain of 600, unity gain bandwidth of 6 MHz.
6. DC gain of 500, unity gain bandwidth of 5 MHz.