Trapezoidal Approximation Error

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The discussion focuses on determining the appropriate number of subintervals (N) for trapezoidal approximation to achieve a specific accuracy. The consensus suggests using N = 20 to ensure the error is less than 0.005 for two decimal place accuracy. Participants debate whether to use "<" or "≤" in their calculations, with a recommendation to use "<" for clarity. The approach to achieving the desired accuracy is confirmed as correct. Overall, the conversation emphasizes the importance of precision in mathematical approximations.
theBEAST
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Homework Statement


qFkVv.png


The Attempt at a Solution


rdqgf.jpg

Thus my answer is N = 20.

I wasn't sure if I should use ≤ or just <. Also to get 2 decimal place accuracy would using 0.005 be correct?
 
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theBEAST said:

Homework Statement


qFkVv.png


The Attempt at a Solution


rdqgf.jpg

Thus my answer is N = 20.

I wasn't sure if I should use ≤ or just <. Also to get 2 decimal place accuracy would using 0.005 be correct?

Your work looks fine to me, but I think I would use < instead of ≤. If your error < .005, you'll be guaranteed 2 decimal place accuracy.
 

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