Question $1$

Write the polar co$-$ordinates $(5$;$\frac{}{2})$ in Cartesian form.

Question $2$

Determine the modulus and argument of $j(2-j).$

Question $3$

If $Z_1=e^{2-j\frac{}{3}}$ and $Z_2=4e^{j\frac{3}{4}}$ find $\frac{Z_1}{Z_2}.$

Give the answer in polar form.

Question $4$

Solve for $x$ and $y$ if $2x+jy=(1+j2)(-2-j3)$

Question $5$

Determine the two square roots of the complex number $(-5-j3)$ in polar form.

Question $6$

Write down the radius and the co$-$ordinates of the center of the circle

$(x-4{)}^2+(y+3{)}^2=16.$

Question $7$

Write down the equation of the ellipse with center $(0$;$0),$ one focal point at $(0$;$4)$ and one vertex at $(0$;$5).$

Question $8$

Name and sketch the curve $y^2=49-x^2.$

TOTAL: $30$