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 《

Q: Multiply complex numbers 3(cis122)4(cis213)

A: Given complex numbers: 3(cis122)4(cis213)

Q: #4. Show that equation | 2-1-2|=1 Can be written as 121²2 Re Z-2 Im Z +1=0.

A: Given equation  z-1-i  =1. Show that: z2 -2 Rez -2 Imz +1=0.

Q: 7-i/-i divide complex number

A: Given : 7-ii

Q: Divide. -2i 2+3i Write your answer as a complex number in standard form.

A: The given complex number division -2i2+3i. We have write the number in standard form.

Q: #6. Find the square roots of (a) 2i; (b) 1-√3 i and express them in rectangular wordinates. #7. Find…

A:

Q: Write all values of a) ln(e-2)   b) ln(-3)

A: In this solution, we will find the values: (a) lne-2 and (b) ln-3. We know that lnab=blna. We know…

Q: 1 - 3i З 1 + 2i

A: To simplify the following expression.

Q: 41^2=9^2+b^2 solving for the adjacent side of a right triangle  I got this: 1681=81+b^2 Now I'm…

A: SOLUTION-

Q: 12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

A:

Q: 5. Solve your given pair of complex numbers placing them on an Argand diagram. (a) X+Y (b) Y-X A =…

A: We have to solve the given pair of complex number and place them in argand diagramNote: According to…

Q: Assuming either 121=1 Prove that Z-W 1-ZW or /w/=1 and Zw=1. = 1.

A: