MTH304
Question: If \\(z_{1}=2-3i,z_{2}=7+i\\) evaluate \\(z_{1}+z_{2}\\)
Answer: 9-2i
Question: Find the modulus of z=4+3i
Answer: 5
Question: Find the polar representation of z=-1-i
Answer: \\(\\sqrt{2}\\left(cos\\frac{5\\pi}{4}+isin\\frac{5\\pi}{4}\\right)\\)
Question: If \\(z_{1}=11-3i,z_{2}=2+i\\) evaluate \\(z_{1}-z_{2}\\)
Answer: \\(9-4i\\)
Question: If \\(z_{1}=-\\frac{1}{2}+i,z_{2}=-\\frac{1}{3}+\\frac{1}{2}i\\)\nfind \\(z_{1}+z_{2}\\)
Answer: \\(-\\frac{5}{6}+\\frac{3}{2}i\\)
Question: If \\(z_{1}=2-3i,z_{2}=7+i\\) then \\(Re(z_{1}+z_{2})\\)
Answer: 9
Question: If \\(z_{1}=18+26i,z_{2}=-3+4i\\) what is \\(Im\\left(z_{1}-z_{2}\\right)\\)
Answer: 22
Question: If \\(z_{1}=1+2i,z_{2}=3+4i\\) evaluate \\(\\frac{z_{1}}{z_{2}}\\)\n
Answer: \\(\\frac{11}{25}+\\frac{2}{25}i\\)
Question: If \\(z=1+2i\\) determine \\(\\frac{1}{z}\\)
Answer: \\(\\frac{1}{5}-\\frac{2}{5}i\\)
Question: If \\(z_{1}=-\\frac{1}{2}+i,z_{2}=-\\frac{1}{3}+\\frac{1}{2}i\\)\nevaluate \\(z_{1}z_{2}\\)
Answer: \\(-\\frac{1}{3}-\\frac{7}{12}i\\)
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