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Maths
A Level

How do I simply differentiate and what does a differential mean?

To differentiate a simple expression such as x^3 + 2x you simply multiply the power of the x by the multiple in front of the x value and then take away one from the power. For example the expression would...

LW
Answered by Laura W. Maths tutor
5003 Views

Simplify and solve for x. log(x+1)+log 5=2. Note, log is the natural log in this case

so lets deal with 2 first. We can express 2 in terms of log5 by the laws of logs. nlogx=logx^n. re-writing 2 as 2log5=log25 we now have log(x+1)+log5=log25. lets apply a different log law: log(a)-log(b)=l...

LM
Answered by Liam M. Maths tutor
6724 Views

A circle with equation x^2+y^2-2x+8y-40=0. Find the circle centre and the radius

2g=-2, -g=1. 2f=-8, -f=4. cc(-2,4). r=√(g^2+f^2-c)=√(4+16+40)=√80=4√5

LM
Answered by Liam M. Maths tutor
4137 Views

Integrate ∫x^4+5x^3+sin(2x) dx

∫x^4+5x^3+sin(2x) dx So a basic rule for x functions is that 1. Add 1 to the power 2. divide by the new power. So lets do this for the 2 x terms 1/5x^5+5/4x^4 Now lets look at the sin(2x). A general r...

LM
Answered by Liam M. Maths tutor
6021 Views

What is the amplitude and period of y=3sin(5x)?

Amplitude of a periodic function is the maximum height it reaches above the centre line (or the lowest). This expressed in the equation as '3'. If the 3 was not there, then the sin wave would have an ampl...

MR
Answered by Madeleine R. Maths tutor
6133 Views

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