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# Oxford Pat Maths Question

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1. The area A is defined as the area to the left of point x, within an equilateral triangle with sides of length a. Find an expression for A as a function of x,
(i) for 0 ≤ x ≤ a a2
￼(ii) for 2 ≤x≤a

https://www2.physics.ox.ac.uk/sites/...2011-Paper.pdf Its question 3

I understand the 1st part, but i don't know what the second part is trying to ask me??
The area A is defined as the area to the left of point x, within an equilateral triangle with sides of length a. Find an expression for A as a function of x,
(i) for 0 ≤ x ≤ a a2
￼(ii) for 2 ≤x≤a

https://www2.physics.ox.ac.uk/sites/...2011-Paper.pdf Its question 3

I understand the 1st part, but i don't know what the second part is trying to ask me??
It's not quite as you've written but I assume it's just a typo. (the key bit being the range of values of x).

It's just asking for a function to find A in terms of x. You understand the first part where x can be any value between 0 and a/2 (the left 'half' of the triangle) and the second part asks for where x can take any value between a/2 and a, the right 'half'. So there are a few traps and maybe a quick way of doing it as long as you think carefully about what it is asking.
3. Ah thats what i was thinking, thank you!

(Original post by SeanFM)
It's not quite as you've written but I assume it's just a typo. (the key bit being the range of values of x).

It's just asking for a function to find A in terms of x. You understand the first part where x can be any value between 0 and a/2 (the left 'half' of the triangle) and the second part asks for where x can take any value between a/2 and a, the right 'half'. So there are a few traps and maybe a quick way of doing it as long as you think carefully about what it is asking.

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