(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given that:

f(x) = 2(1-x) for 0 < x < k

...........0 for otherwise

sketch the graph of f(x) and find:

(i) the value of k,

(ii) the median of x

2. Relevant equations

3. The attempt at a solution

(i) I sketched the graph and got a line from (0,2) to (1,0) which has an area of 1, so k = 1.

(ii) [tex]^{}M[/tex][tex]_{}0[/tex][tex]\int[/tex](2 - 2x) = 1/2

The code is messing up but intergation of (2 - 2x) with m (median) as the top limit and 0 being the bottom one and it = 1/2

[2x - x^2]^{m}_{0}= 1/2

2m - m^{2}= 1/2

I'm stuck on getting m separated as it's a negative square

Help me please :(

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# Homework Help: Median of f(x) - quadratic

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