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How can you express the complex number z = 2 + 3i in the form z = r(cos x + i sinx)

First you want to draw the complez number on to an argand diagram, using which you will find the modulus and argument. This is how to do so: The modulus is to be obtained using pythagoras (which will be easi...
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Answered by Meghali B. • Maths tutor
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Molecules of hydrogen chloride, HCl, and molecules of fluorine, F2, contain the same number of electrons. Hydrogen chloride boils at –85 °C and fluorine boils at –188 °C.Explain why there is a difference in the boiling points of HCl and F2.

F2 has van der Waals’ forces, whilst HCl has permanent dipole–dipole attractions. Permanent dipole–dipole attractions are much stronger than induced dipoles. More enegery is required to break the stronger pe...
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Answered by Ellis A. • Chemistry tutor
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The theme of disguise is central to a number of Shakespeare’s plays. Write about any two characters (from different plays/sonnets) who employ some kind of disguise (physical or moral) and how this relates to wider issues of social identity.

“No plot device is more constantly recurrent in Shakespearean drama then is disguise,” writes critic P. Kreider.[1] Indeed, Shakespeare frequently uses cross-dressing as a means by which to spur a sequence o...
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Answered by Helena N. • English tutor
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How do I answer the 6 mark question: Explain why malnutrition is widespread in certain parts of the world?

6 mark questions such as this require clear definition alongside a clear explanation backed up with some supporting evidence. You can see this is the case because the question begins with the command words '...
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Answered by Anna H. • Geography tutor
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Find the first 3 terms and the sum to infinity of a geometric series with first term, 10 and common ratio 0.2

General form of a Geometric series: a + ar + ar^2 + ar^3 + ar^4 + … First three terms: 10 + 10 0.2 + 10 0.2^2 = 10 + 0.2 + 0.04Nth Term of a Geometric Series: ar^n-1 where there are n terms Proof of sum of t...
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Answered by Daniel W. • Maths tutor
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