Question

pic

Answer 1

@jziggy

Answer 2

ok, nice pic

Answer 3

this has me completely lost

Answer 4

hm... what does LRAM stand for?

Answer 5

here is a link to a guy that uses LRAM http://answers.yahoo.com/question/index?qid=20100118184917AA1kO61

Answer 6

Ok, so it's just an approximation using 4 rectangles where you measure them at the left endpoint

Answer 7

yes

Answer 8

So we need to divide the interval into 4 sections since n = 4

Answer 9

k

Answer 10

We have a rectangle from 0 to 1/4, from 1/4 to 1/2, 1/2 to 3/4 and 3/4 to 1

Answer 11

yeah

Answer 12

So now we calculate the height of each rectangle based on the endpoint
f(x) = 2x - x^3
f(0) = 0
f(1/4) = 1/2 - 1/64 = 31/64
f(1/2) = 1 - 1/8 = 7/8 = 56/64
f(3/4) = 3/2 - 27/64 = 96/64-27/64 = 69/64
So our left endpoints are 0, 31/64, 56/64, and 69/64

Answer 13

Now we add all these together and multiply that by delta x

Answer 14

oh i see :)

Answer 15

2.4375

Answer 16

*^X

Answer 17

(1/4)*(0 + 31/64 + 56/64 + 69/64 )= (156/64)*(1/4)
Which simplifies to 39/64

Answer 18

and thats it

Answer 19

There ya go, that's all I can help with tonight though 1:12 am is a bit late for me haha

Answer 20

yeah thank you very much :)