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Maths
A Level

Why does exp(x+y) NOT equal exp(x)+exp(y)? [A-level Maths and Further Maths common mistake]

This is a very common mistake, so don't worry. To see why this is the case, let's go back through our notes to the "laws of indices" and recall the rule for adding powers; am

Answered by Tutor56252 D. Maths tutor
8276 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...

Answered by Emma C. Maths tutor
22649 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...

Answered by Steven R. Maths tutor
3949 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...

Answered by Jason W. Maths tutor
14186 Views

I don't understand how functions work. How do I decide if something is a function?

There is a definition which a pairing between to sets has to satisfy in order to be a function. It is like a checklist, we can go over it and tick each box to see if something is a function.

First ...

Answered by Zsolt V. Maths tutor
4830 Views

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