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Maths
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When do I use a cosine rule over a sine rule?

Both the sine and the consine rule applies to any triangle, you do not necessary need a right angle! 

You can usually use the cosine rule when you are given two sides and the included ang...

JF
Answered by Jessica F. Maths tutor
120560 Views

How do you integrate xcos(x)?

Using integration by parts: split xcos(x) into x multiplied by cos(x). Differentiating x gives 1 and integrating cos(x) gives sin(x). The integral of xcos(x) can therefore be rewritten as xsin(x) - integr...

AB
Answered by Aleksandr B. Maths tutor
8045 Views

How to integrate lnx by parts?

Integration by parts formula: ∫ udv/dx = uv - ∫ du/dxv dx

To solve this problem we need to use a trick by thinking of lnx as lnx1
So we can choose: u=lnx, dv/dx=1
...

RJ
Answered by Ryan J. Maths tutor
9151 Views

How do you find the inverse of a function?

So you are asked to find the inverse of a function f(x).
The inverse function is denoted by f -1(x).
To help with this we can use the identity f(f -1(x))=x.
Now,...

RJ
Answered by Ryan J. Maths tutor
6920 Views

What are the differences between arithmetic and geometric sequences?

An arithmetic sequence has a constant difference between each term.
For example: 2,4,6,8,10,12,…
We can see clearly that all the terms differ by +2.
We call this the common difference...

RJ
Answered by Ryan J. Maths tutor
164031 Views

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