What value to use for c

[nimble tinsel]

I don't really get where the 49 comes from, aren't you supposed to choose a number between 61 and 64?

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[nimble tinsel]

so shouldnt the error be (f'''(61)(61-64)^3)/6

[indigo snow]

the t greater than 49 ?

[nimble tinsel]

but arent you supposed to pick a number between 61 and 64

why 49?

[indigo snow]

well yes, thats what they eventually do

[indigo snow]

t greater than or equal to 4 because we got approx 7.810 rounding it down to 7, and we were in square root, so now we square to 49

[nimble tinsel]

so you would get the correct answer if you put 61 instead

[indigo snow]

I think we would get a more accurate answer, but calculation would get worse

64 and 49 are perfect squares so good to approximate within

[nimble tinsel]

so it doesn't matter which number you choose from the interval, is it best to pick the biggest number to minimize the error range, or the number that is best to calculate with?

[indigo snow]

depends, while approximating you probably won't have calculator, if you do, approximating with 61 is a good idea, otherwise I'd say 49

[nimble tinsel]

ok thankl you very much

+close