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Find the first three terms in the expansion of (4-x)^(-1/2) in ascending powers of x.

(4-x) -1/2 = (4 (1 - x/4)) -1/2 = 1/2 (1 - x/4) -1/2 = 1/2 ( 1 + x/8 + 3x 2 /128 + ...) = 1/2 + x/16 + 3x 2 /256 + ...Therefore the first three terms are 1/2 + x/16 + 3x 2 /256
Answered by • Maths tutor
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Describe the elements of the cognitive interview (6 marks)

The first step is reinstate the context whereby the interviewer asks the eyewitness to mentally and physically imagine and recall the crime scene including environmental context of crime scene e.g. smell, pe...
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Answered by parisa k. • Psychology tutor
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What is the pH of 0.10 mol.dm^(-3) sodium hydroxide solution, NaOH?

To calculate the pH of a solution/compound, we can use the equation: pH = - log 10 [H+]Within the sodium hydroxide solution, you would observe Na + and OH - ions so in order to find the concentration of H+ i...
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Answered by Simran S. • Chemistry tutor
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What is the best way to approach an essay question in an exam?

Exam essay questions test your ability to produce a coherent argument using knowledge and ideas learned during the year. It is often tempting to try to include everything you've learned, but the best answers...
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Answered by Morgan G. • History tutor
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How do you avoid making silly mistakes in a maths exam?

In my experience practice makes perfect and the best way to do this is to immerse yourself with as much past papers as you can do. Maths is maths so don't be afraid to check other exam boards for their past ...
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Answered by Josh A. • Maths tutor
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