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Using a Taylor's series or otherwise; derive Euler's Formula

Use the Taylor series expansion for the following three functions: f(θ) = e^(iθ), g(θ) = cos(θ) and h(θ) = sin(θ). We should find that f(θ) = e^(iθ) = 1 + iθ - (θ^2/2!) - i(θ^3/3!) + ... = Sum(θ^n/n!), g(θ) ...
MH
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Politics and prejudice, rather than reasoned argument, are the dominant forces in the Pro Milone.’ To what extent do you agree with this judgement?

n.b Whilst this answer addresses Cicero’s ‘Pro Milone’, the approach demonstrated here may be successfully applied to any text, verse or prose, that might be set for the 20 mark ‘essay question’ of the Latin...
JR
Answered by James R. Latin tutor
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explain the term 'global commons'

The term 'global commons' refers to resources that are shared and accessible by all, with no single governing country or power. The four notable global commons include the high seas, the atmosphere, outer-sp...
Answered by Geography tutor
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Explain how oxygen is loaded, transported and unloaded in red blood cells

Haemoglobin is a molecule in red blood cells with a high affinity for oxygen. It consists of 4 haem groups, each of which associate with one oxygen molecule at high pO 2 , typically in the lungs. Haemoglobin...
Answered by Biology tutor
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What's the difference between allopatric and sympatric speciation? What are some evolutionary implications of this?

For speciation to occur, a population must split into at least two isolated parts to avoid the spread of genes between them; the nature of this isolation is what defines sympatry and allopatry. In allopatric...
Answered by Biology tutor
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