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MAT1581 ASSIGNMENT 2 SEMESTER 2 2020 SOLUTIONS. THIS IS PERFECT TOOL TO HELP YOU WITH THE FIRST ASSIGNMENT FOR SECOND SEMESTER AND PREPARE FOR THE FINAL EXAMINATION. THE SOLUTIONS HAVE STEP BY STEP CALCULATIONS AND EXPLANATIONS. CONTACT US FOR CATCH UP CLASSES OR VIDEO EXPLANATIONS

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  • August 13, 2020
  • 5
  • 2020/2021
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MAT1581

SEMESTER 2

2020

ASSIGNMENT 02

MEMO

, Question 1



(3−5𝑗)(2−6𝑗)

2+4𝑗
first multiply the brackets on the numerator

3(2−6𝑗)−5𝑗(2−6𝑗)

2+4𝑗

6−18𝑗−10𝑗+30𝑗 2

2+4𝑗
𝑟𝑒𝑚𝑒𝑚𝑏𝑒𝑟 𝑗 2 = −1

6−28𝑗−30

2+4𝑗

−24−28𝑗
 𝑛𝑜𝑤 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑦 𝑏𝑦 𝑡ℎ𝑒 𝑐𝑜𝑛𝑗𝑢𝑔𝑎𝑡𝑒 𝑜𝑓 𝑡ℎ𝑒 𝑑𝑒𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑜𝑟
2+4𝑗

−24−28𝑗 2−4𝑗
 ×
2+4𝑗 2−4𝑗

2(−24−28𝑗)−4𝑗(−24−28𝑗)

4−16𝑗 2

−48−56𝑗+96𝑗+112𝑗 2

4+16

−48+40𝑗−112

20

−160+40𝑗

20


 −8 + 2𝑗




Question 2

 𝑧 = 8(cos 225° + 𝑗 sin 225°)


3
𝑡ℎ𝑒 3 𝑐𝑢𝑏𝑒 𝑟𝑜𝑜𝑡𝑠 𝑚𝑒𝑎𝑛𝑠 √𝑧

 𝑟 =8; 𝜃 = 225° ; 𝑛=3

 𝐷𝑒 𝑀𝑜𝑖𝑣𝑟𝑒`𝑠 𝑇ℎ𝑒𝑜𝑟𝑒𝑚

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