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Further Maths - Numerical Methods

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I have attatched a photo of the question (I wasn't sure how to type it out so that it was clear which symbol is which)

I've managed to do all of part (i) but I cannot get the right answer for (ii) - I think I'm going wrong in finding the upper and lower bounds for r but I cannot see where as I'm using the same method as I did for (i)

Any help would be amazing!

Thank you :smile:
Original post by amydowse
...

What are your upper and lower bounds for each angle?
Reply 2
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amydowse
OP
1
I had them as
36.95 and 37.05
30.95 and 31.05
Original post by amydowse
I had them as
36.95 and 37.05
30.95 and 31.05

For (ii) I got the error to be ±0.25\pm 0.25
So I got α=[36.75,37.25)\alpha = [36.75, 37.25), β=[30.75,31.25)\beta = [30.75, 31.25)
Reply 4
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amydowse
OP
1
But it says that each is correct to 0.5 degrees??
Original post by amydowse
But it says that each is correct to 0.5 degrees??


Apply the same logic as in the first part. If it's to the nearest 1o1^othen the error is ±0.5o\pm 0.5^o. So if it's to the nearest 0.5o0.5^o, the error is ±0.25o\pm 0.25^o.

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