QuestionSULIT DBM10013: ENGINEERING MATHEMATICS I
QUESTION 2 SOALAN 2 CLOI (a) Calculate the complex numbers below in the form of $a+b i$. Kira nombor kompleks di bawah dalam bentuk $a+b i$. i. $(5+i)-2(-2-7 i)$ [3 marks] [3 markah] ii. $\frac{4+3 i}{-2-7 i}$ [5 marks] [5 markah]
ClOI (b) Calculate the modulus, argument and sketch the Argand Diagram for $-10-5 i$.
Hitung modulus, hujah dan lakarkan Rajah Argand untuk -10 - $5 i$. [7 marks] [7 markah] (c) CLO2 i. Solve the following expression in an exponential form.
Selesaikan ungkapan berikut dalam bentuk eksponen. $$\frac{45\left(\cos 270^{\circ}+i \sin 270^{\circ}\right) \times 5\left(\cos 50^{\circ}+i \sin 50^{\circ}\right)}{15\left(\cos 110^{\circ}+i \sin 110^{\circ}\right)}$$ [6 marks] [6 markah] ii. Given that $Z_{1}=4 \angle 125^{\circ}$ and $Z_{2}=40\left(\cos 25^{\circ}+i \sin 25^{\circ}\right)$. Solve the $Z_{2} \times Z_{1}$ in polar form. Diberi $Z_{1}=4 \angle 125^{\circ}$ dan $Z_{2}=40\left(\cos 25^{\circ}+i \sin 25^{\circ}\right)$. Selesaikan $Z_{2} \times Z_{1}$ dalam bentuk polar. [4 marks] [4 markah ] 4 SULIT