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Define the term 'phylogeny', how it is related to classification of species, and what kind of evidence is used in phylogenetics. (3 Marks)

Phylogeny is the evolutionary relationships between different species. Species within the same taxonomic group have shared phylogeny (i.e. they have a common ancestor). (1) Phylog...

MY
Answered by Mary Y. Biology tutor
15838 Views

Solve the following equation by completing the square: x^2 + 6x + 3 = 0.

Completing the square is a method of solving quadratic equations that cannot be easily factorised, without having to use the quadratic formula. The first step is to look at the coefficient of the second t...

EC
Answered by Emma C. Maths tutor
25769 Views

How do I remember the coefficients of a Taylor expansion?

If it's not sticking in your head; don't. I find it's easier to just remember what the point of a Taylor expansion is: to express a function as an infinite polynomial, often because polynomials are ea...

SR
Answered by Steven R. Maths tutor
4892 Views

When and how do I use proof by induction?

If you have a claim which says something about every element in a list of elements with each element depending on previous elements, induction might be a useful starting point. In your exams, that "l...

SR
3208 Views

Given log3(3b + 1) - log3(a-2) = -1 for a > 2. Express b in terms of a.

We can start by recognising one of our properties of log. That is loga(x) - loga(y) = loga(x/y). Performing this on our question we get: log3((3b+1)/(a-2)) = -1...

JW
Answered by Jason W. Maths tutor
15551 Views

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