Question

Numerical Methods question.
When calculating an number N, whe get an approximation of 29,25, with a error percentage of <10%.
Determine the limits in wich N should be contained.

Sol: N ϵ [26.591, 31.909].

How do I get there?

Answer 1

29,25 + 10% of 29,25
or
29,25 - 10% of 29,25

but im getting [26.325,32.175]
so sryyy mmm :-'(

Answer 2

Yes, that's what I get, and that's the answer for the second part of the question.

Answer 3

what is the second part of the question ?

Answer 4

solve the previous question again but assuming that the approximation is made by defect*

Sol: (29.25; 32.175)

*defect is probably not the english term for what I'm asking, but I don't know how this kind of approximation is called.

Answer 5

29,25 is either over or underestimated by 10%.
In the first case, the accurate value would be 29,25/1,10=26,591 (26,591*1,1=29,25)
In the second case, the accurate value is 29.25/0.9=32,5, different from the answer as well. (32,5*0.9=29,25)
By the way, what was "defect" in its original language?

Answer 6

an approximation by defect - uma aproximação por defeito