Calculating Lower Sum for f(x) = x^2 +1 between 0 and 2 with Change in X = 1/2

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Homework Help Overview

The discussion revolves around calculating the lower sum for the function f(x) = x^2 + 1 over the interval from 0 to 2, with a specified change in x of 1/2.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to compute the lower sum using a series of calculations based on the function values at specified intervals. Some participants provide feedback on the correctness of the calculations and suggest improvements in notation.

Discussion Status

The discussion includes validation of the original poster's calculations, with some participants confirming the approach while others offer suggestions for clarity in mathematical notation. There is no explicit consensus on the final correctness of the lower sum.

Contextual Notes

Participants discuss the potential for using a calculator to verify the results, indicating a desire for further exploration of the problem.

BuBbLeS01
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Find lower sum...please help!

Homework Statement


Find the lower sum for f(x) = x^2 +1 between 0 and 2 using a change in X = 1/2


Homework Equations





The Attempt at a Solution


[(0^2 + 1) * 1/2] + [(1/2^2 + 1) * 1/2] + [(1^2 + 1) * 1/2] + [(3/2^2 + 1) * 1/2] = 3.75

Is this right?
 
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Seems ok to me.
 
It would be better to use parentheses for things like (3/2)^2= 9/4 (not 3/2^2= 3/4) but, in fact, you've done that exactly right.
 
Thank you! Is there a way to check this on my calculator?
 

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