Exam 21: Complex Numbers

Divide: $5.2 e^{\mathrm{j} 7.2}$ by $8.0 \mathrm{e}^{\mathrm{j} 3.9}$

Write in polar and in rectangular form: $4\left(\cos 121^{\circ}+j \sin 121^{\circ}\right)$

Combine and simplify: $(3+j 2)+(5-j 7)$

Evaluate: $\left(5 e^{\mathrm{j} 2}\right)^{3}$

Combine and simplify: $(3+j 4)-(8-j 6)$

Express $5+j 6$ in exponential form.

Combine and simplify: $(2-j 8)-(-5-j 3)$

Multiply the vectors: $(7+j 2)(8-j 3)$

Combine the vectors: $(9+j 5)+(6-j 2)$

Graph the complex number $7+j 9$ .

Divide the vectors $(5+j 7) \div(6+j 2)$ . Write the answer in polar form.

Multiply: $5.32 / \underline{37.9^{\circ}}$ by $3.84 / \underline{80.2^{\circ}}$

Evaluate: $\sqrt[3]{5.5+j 3.5}$

Express in sinusoidal form: $V = 90/\underline{90^\circ}$

Graph this complex number: $-8-j 3$

Solve for $x$ to three significant digits: $5 x^{2}+7 x+4=0$

Divide: $\frac{45 / \underline{132^{\circ}}}{9 / \underline{58^{\circ}}}$

Write this complex number in polar and trigonometric form: $2+j 10$

Divide: $50.4\left(\cos 232^{\circ}+j \sin 232^{\circ}\right)$ by $16.8\left(\cos 54^{\circ}+j \sin 54^{\circ}\right)$

Divide: $21 e^{\mathrm{j} 5}$ by $7 \mathrm{e}^{\mathrm{j} 4}$