MTH305 Tma Solutions

MTH305

Question: Express \\(-3i\\) in polar form
Answer: \\(3e^(3Ï€i/2)\\)

Question: Find the derivative of \\( f(z)=z^3-2z\\) at the point where \\(z=1\\)
Answer: 1

Question: Find all points of discontinuity for the complex function \\(f(z)=\\frac{(2z-3)}{(z^2+2z+2)}\\).
Answer: \\(-1 ± i\\)

Question: If \\(A(x,y)=2xy-ix^2 y^3\\), find \\(div A\\).
Answer: \\(2y-3x^2 y^2\\)

Question: Evaluate \\(lim_{z\\longrightarrow 2i}\\frac{(2z+3)(z-1)}{z^2-2z+4}\\)
Answer: \\(-1/2+11/4 i\\)

Question: Find an analytic function \\(f(z)\\) such that \\( Re{f^\’ (z)}=3x^2-4y-3y^2 and \\(f(1+i)=0\\).
Answer: \\(z^3+2iz^2+6-2i\\)

Question: Given that the series\\( 1 + i /3 + (i/3)^2 +⋯ =∑ _{n=1}^∞(i/3)^{n -1}\\) converges. Find its sum.
Answer: \\( (9+3i)/10\\)

Question: If \\(z_1=1-i\\) and \\(z_2=-2+4i\\) , evaluate \\( |z_1 \\overline{z_2}+ z_2 \\overline{z_1}\\)|
Answer: 12

Question: Evaluate \\(lim_{z\\longrightarrow ∞) \\frac{z^3-3z+2}{z^4+z^2-3z+5}\\)
Answer: \\(0\\)

Question: Evaluate\\( (5+5i)/(3-4i)+20/(4+3i) \\)
Answer: 3-i

Whatsapp: 08039407882 for your Project Writeup I Business Plan Writeup I Online Tutorial I To become a Tutor

Follow me on Twitter for your Free Exam Summary I Free past questions I Free Tma Past Questions

Leave a Reply

MEET OVER 2000 NOUN STUDENTS HERE. 

Join us for latest NOUN UPDATES and Free TMA answers posted by students on our Telegram. 

OUR ONLINE TUTORIAL CLASS IS NOW ON!!! JOIN US NOW. 
JOIN NOW!
close-link