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Maths
A Level

Differentiate y=x^3

dy/dx = 3x^2

Answered by Rhiannon H. Maths tutor
4329 Views

Find the integral between 1 and -2 for (4-x^2-3x^3)

= [4x - 1/3x3 - 3/4x4]1-2 = (4(1) - 1/3(1)3 - 3/4(1)4) - (4(-2) - 1/3(-2)3 - 3/4(-2)4) =(2 11/12) - (-8 + 8/3 - 12) ...

Answered by Alex G. Maths tutor
2949 Views

Integrate xcos(x) with respect to x

In order to do this question one has to first recognise that this is a product and thus has to be solved using Integration by parts. Firstly write out the formula: ∫u.dv/dx dx = uv - ∫v. du/dx dx ...

Answered by David W. Maths tutor
4204 Views

2x + y = 12. P = xy^2. Show that P = 4x^3 - 48x^2 + 144x

We want to make P = xy^2 into something more complicated, which only has Xs, and no Ys. 

Firstly, you need to remember that when there are two equations, the question will almost definitely involve...

Answered by Jethro R. Maths tutor
3208 Views

What does it mean for a function to have one to one mapping?

One to one mapping means is that there's only one value you could insert into the function that would give you a certain output. f(x) = 2x+1 is an example of one to one mapping where 3, for example, is th...

Answered by Joshua M. Maths tutor
9123 Views

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