3.1 A certain transformer in radar system has a primary winding with 100 turns and secondary winding with 400 turns. What is the turns ratio of the transformer? 3.2 An amplifier has \( 800 \Omega \) internal resistance. 3.2.1 To provide maximum power to \( 8 \Omega \) speaker, what is the turn ratio of the coupling transformer? 3.2.2 Draw the circuit diagram equivalent to the above reflected circuit. (2)

Suppose an account pays \( 6 \% \) interest that is compounded annually. At the beginning of each year, \( \$ 2,000 \) is deposited into the account (including \( \$ 2,000 \) at the start of the first year). What is the value of the account after the tenth total deposit if no withdrawals or additional deposits are made?

\( \begin{array}{cc} & \text { Apı } \\ \text { A) } & \text { Aué ex } \\ & \text { B) } \\ & \text { C) } \\ & \text { D) }\end{array} \)

(b) let the systen of differential equations be given by \[ \frac{d x}{d t}=-x y+x(1-x) \] \[ \frac{d y}{d t}=-3 x^{2} y+2 y\left(1-\frac{y^{2}}{2}\right) \] (i) Determine the \( x-i \) socines and \( y \) - isoclines and tee signs of \( \frac{d z}{d t} \) and dy/dt. (ii) Determine the equilibrium points of the system.

If \( x \) is multiplied by 5 and then 3 is subtracted, then the function is \( f(x)=5 x-3 \). What are the steps to find the inverse to this function? a.) Multiply by 3 , then subtract 5 b.) Subtract by 5 , then multiply by 3 c.) Add 3 , then divide by 5 d.) Divide by 5 , then add 3

Bonus 1: Write each of the following expressions as a number with the indicated base. \( \begin{array}{ll}\text { (a) } 5 \times 2^{6}+15 \times 2^{2}-2^{2} & \text { (base } 2 \text { ) }\end{array} \)