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Maths
A Level

Integrate y=(x^2)cos(x) with respect to x.

This problem must be solved using integration by parts, since y is equal to the product of two functions of x. Let u=x^2, therefore u'=2x (u'=du/dx). Let v'=cos(x), therefore v=sin(x) (v'=dv/dx).Using the...

Answered by Antony H. Maths tutor
3022 Views

Differentiate with respect to x: (x^2+5)^3

There are two methods for solving this question. Firstly, the inspection method, and then the chain rule method.Using the inspection method, we differentiate the outer function first. Multiply the functio...

Answered by Matthew P. Maths tutor
3517 Views

How can we simplify sqrt(48) - 6/sqrt(3) ?

Observing that 48 = 24 * 2 = 1222 = 443, we can write square root of 48 as being square root of 443, which means that sqrt(48) = 22sqrt(3).Now, we can multiply the new ...

Answered by Dorian G. Maths tutor
7965 Views

What is the centre and radius of the circle with the equation x(x-2)+y(y+6)+4=0 ?

x(x-4)+y(y+6)+4=0x^2-4x+y^2+6y+4=0x^2-4x+4+y^2+6y+9=9(x-2)^2+(y+3)^2=9=3^2centre (2,-3) radius 3

Answered by Lauren W. Maths tutor
2869 Views

I struggle with modelling with differential equation, is there an easier way of interpreting this type of wordy question?

I would let the student identify what the important elements of the question are and encourage them to assign each with a term or other mathematical notation. I would then go through these to make sure th...

Answered by Christopher L. Maths tutor
2313 Views

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