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Finding complex numbers using DeMoivre's Theorem

Find the cube roots of 2 1/2 cis(pi/4) 2 1/2 cis(pi/4+ 2pi k), for every integer k By DeMoivre: 2 1/2 1/3 cis((pi/4+ 2pi k)/3) 3 2 1/6 cis(pi/12+ 2/3 pi *k) Taking k=0,1,2 gives the three cube roots:z 1 = 2 ...
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Answered by Lisa R. • Maths tutor
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Describe and explain the process of transcription in protein synthesis.

Hydrogen bonds that link complementary DNA base pairs in the cell's nucleus break and exposes the bases.Free RNA nucleotides in solution combine with their complementary bases of the single DNA strand.A with...
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Answered by Nichola C. • Biology tutor
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What variables dictated the position of women in English society during the period 1066-1330?

INTRO : The key factors and variables during this period affecting women’s position were the family that they were born into, their marital status and societal position. These variables changed in importance...
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Answered by Toby S. • History tutor
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Outline how antibiotics offer protection from certain forms of infectious disease.

Ever since the accidental discovery of Penicillin by Alexandre Fleming in 1928, antibiotics have revolutionised modern medicine. Also known as 'anti-bacterials' they are used to treat often deadly bacterial ...
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Answered by David R. • Biology tutor
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“President Truman was a success abroad, but a failure at home.” Assess the validity of this view.

INTRO : Truman was President from 1945 to 1952, overseeing the emerging Cold War, in which he solidified American control of Western Europe and began the fight of containing communism - to good success. Howe...
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Answered by Toby S. • History tutor
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