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Let z=x+yi such that 16=5z - 3z*, What is z?

z* is the complex conjugate of z therefore z* = x - yi. So 16 + 32i = 5(x + yi)-3(x - yi), real: 16 = 5x - 3x => 16=2x => x=8, imaginary: 32 = 5y + 3y => 32 = 8y => y=4, therefore z = 8 + 4i.<...

BC
Answered by Ben C. Maths tutor
2980 Views

Could you explain why water has a high latent heat of vapourisation?

A water molecule is polar. Due to the uneven sharing of electrons in the hydrogen-oxygen covalent bond, the oxygen molecule is slightly negatively charged and the hydrogen atoms are slightly positively ch...

SJ
Answered by Steffan J. Chemistry tutor
4104 Views

To what extent was Stalin’s treatment of opposition a divergence from Lenin’s approach? Answer with reference to the years 1917-41.

This is a standard A level Russian/Soviet history essay title.points may include:Similarities - establishment of a one-party state, use of political terror and silencing of opponents, class warfare, secre...

RF
Answered by Rachel F. History tutor
2061 Views

Could you describe the blood flow through the heart?

Blood flows through human bodies via a double circulatory system, the systematic system and the respiratory system, which are connected by the heart. Blood enters the right atrium of the heart from the ve...

SJ
Answered by Steffan J. Biology tutor
2453 Views

'The success of the Conservatives in the period 1886-1905 was the result of the Liberals' failures.' Assess the validity of this view.

The failures of the Liberal Party within the period 1886-1905 were key to the success of the Conservatives. The culmination of Gladstone's dramatic conversion to Home Rule (which disastrously split the pa...

MW
Answered by Molly W. History tutor
5166 Views

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