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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 in...
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Answered by Antony H. • Maths tutor
4145 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 function b...
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Answered by Matthew P. • Maths tutor
4776 Views

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

Observing that 48 = 24 * 2 = 12 2 2 = 4 4 3, we can write square root of 48 as being square root of 4 4 3, which means that sqrt(48) = 2 2 sqrt(3).Now, we can multiply the new result 2 2 sqrt(3) with sqrt(3)...
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Answered by Dorian G. • Maths tutor
10631 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
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Answered by Lauren W. • Maths tutor
3740 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 the s...
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Answered by Christopher L. • Maths tutor
3125 Views