Delta University Mid-Term Exam - Math2 - PDF

Delta University for Science and Technology Date: 1-12-2024 Time: 60 mins Faculty of Engineering...

Delta University for Science and Technology Date: 1-12-2024 Time: 60 mins Faculty of Engineering Course title: mathematics 2 Fall Semester 2024-2025 Course code: BAS012 Mid-Term Exam Total Mark:20. Marks Answer all the following questions Question1 : choose the correct answer (8 Marks) 1- Z = - 6i then Arg(z) = … a) θ = 𝝅 ⁄ 𝟑 b) θ = 𝟑 𝝅 ⁄ 𝟐 c) θ = 𝝅 d) θ = 𝝅 ⁄ 𝟐. 2- The result of (5i +3) (2 + 7i) a) 31 i +35 b) 25 + 30 i c) 31 – 29 i d) 31 i - 29 𝟏 𝟐 𝟑 3- Find the rank A= [𝟎 𝟒 𝟓] 𝟎 𝟎 𝟎 a) 1 b) 2 c) 3 d) 0 𝟏+𝟕𝒊 5- If 𝒛 = , the polar form is (𝟐−𝒊)𝟐 𝟑𝝅⁄ 𝟑𝝅⁄ 𝝅⁄ −𝝅⁄ a) 𝒆 𝟒 b) √𝟐𝒆 𝟒 c) √𝟐𝒆 𝟒 d) √𝟐𝒆 𝟒 6- 𝒊𝟑 + 𝒊𝟗 + 𝒊𝟔 = ⋯ a) 𝟑 b) 𝟎 c) -1 d) −𝒊 𝟑 𝟔 𝟗 7- Determine A= [𝟐 𝟒 𝟔] is …. 𝟏 𝟐 𝟑 a) Singular b) non-singular 𝟐𝝅 8- if 𝒛 = 𝟖𝒆 𝟑 𝒊 where 𝒛𝟒 ? 𝟖𝝅 𝝅 𝟒𝝅 𝒊 𝒊 𝒊 a) 𝒆 𝟑 b) 𝒆 𝟑 c) 𝒆 𝟑 d) 𝒆𝝅𝒊 1- 2- 3- 4- 5- 6- 7- 8- Page 1 of 4 Questions 2: solve part A (3 Marks) and part B is bonus Page 2 of 4 Questions 3: Show your steps (5 Marks) Page 3 of 4 Questions 4: Solve for each case (4 Marks) {End of Exam} Good Luck Page 4 of 4