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Maths
A Level

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) ...

AG
Answered by Alex G. Maths tutor
3069 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 ...

DW
Answered by David W. Maths tutor
4338 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...

JR
Answered by Jethro R. Maths tutor
3341 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...

JM
Answered by Joshua M. Maths tutor
9909 Views

find dy/dx where y = a^x

First, we need to re-write it as e to the power something. The definition of log base e is that e^log(y) = y. We can put our expression into this equality too. So a^x = e^log(a^x), so we use log rules to ...

AS
Answered by Alastair S. Maths tutor
2851 Views

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