Find the three cube roots of the following complex number: 120 ( cos60 + i sin60) O (4.63 + 1.69i), ( – 3.78 + 3.17i) & ( - 0.86 – 4.86i) O (3.63 + 7.69i), ( - 5.78 + 3.17i) & ( - 3.86 - 4.86i) O (2.63 + 6.69i), ( – 3.78 + 5.17i) & ( - 4.86 – 4.86i) O (8.63 + 3.69i), ( – 8.78 + 4.17i) & ( - 9.86 – 2.86i)

Find the three cube roots of the following complex number: 512 ( cos 60 + i sin 60 ) O ( 4.52 + 2.74i ), ( -6.13 + 6.14i ) & ( -3.39 - 7.88i ) O (7.52 + 2.74i ), ( -6.13 + 5.14i ) & ( -1.39 - 7.88i ) O (7.52 - 7.74i ), ( -4.13 + 2.14i ) & ( -4.39 - 2.88i ) O (7.52 + 4.74i ), ( -6.13 + 3.14i ) & ( -1.39 - 5.88i )

8:18 AM G0 +234 901 970 2349 August 15, 8:59 AM +94 UNIVERSITY OF ABUJA Faculty of Engineering B.Eng. (Chemical Engineering) CA Test FEG 221: Engineering Mathematics 11 Instruction Attempt all questions Second Semester 2022/2023 Session Date: 16 November 2023 Time allowed: 30 min 1. Given that represents the imaginary uni" for a complex number, what is the value of (1 mark) 2.Sich the amphical representation (Argand diagram) of 5- For vector -[3,0,4], find the Lach of the vector marks) (2 marks) (2 marks) H Unit vector in the direction P @marks) What is the cross product of vector(s) a-13-14) and 5-12.5.1) marks) 5. Given that U= If cosx- (2-2) (28-2) write the first four (4) terms of the series (4 marks) (Note: 01-1) , estimate cos 60", using the first four (4) terms of the series ||| = о marks) U ۲۲ 《

Given the complex numbers z1 = 5 (cos(139°) + i sin(139°)) and z2 = 2 (cos(-94°) + i sin(-94°)), find the product z1 · Z2. Select the correct answer below: O 5V2 – 5/2i - + 2 i O 5V2 + 5V2i O 7VZ 7V2, + i 2 7V2 2 2 O -5v2 + 5/2i