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Calculate (7-i*sqrt(6))*(13+i*sqrt(6))

We expand the parentheses to get to the equation: 7 13-13 i sqrt(6)+7 i sqrt(6)-i i sqrt(36) which after some further calculations equals to: 91-6 i sqrt(6)+sqrt(36) [We got +sqrt of 36 because i i*=sqrt(-1)...
Answered by • Maths tutor
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Why is the derivative of ln(x) equal to 1/x.

This fact can be deduced several ways, and I would encourage tutees to find other methods, (such as using implicit differentiation, or the chain rule.) However one of the simplest explanations is given below...
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Answered by Christopher V. • Maths tutor
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With the help of a diagram, explain why a trade-off between price stability and low unemployment might occur. (9 marks)

The objective of price stability is to maintain a sustainable level of inflation, with the target being 2% for the UK government. A low level of unemployment can be defined as a low number of economic agents...
Answered by • Economics tutor
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There are 40 counters in a bag. 13 are red, 20% are green and the rest are yellow. What proportion of counters are yellow?

20% green counters - means 1/5 of all counters are green. 1/5 of 40 = 40/5 = 8 counters are greenthe number of counters that are green + the number of counters that are red = 8 + 13 = 21the number of counter...
Answered by • Maths tutor
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Explain how the theme of social responsibility is presented in J.B. Priestley's 'Inspector Calls'

The theme of social responsibility is deeply embedded within Priestley's 1945 play which is set in 1902. Priestley uses the figure of the Inspector as a symbol of moral responsibility as he advocates the nec...
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