Solving Calculus Homework: Stuck on #11 Riemann's Sum

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Homework Help Overview

The discussion revolves around a calculus homework problem related to Riemann's Sum, specifically focusing on problem number 11. Participants express confusion regarding the initial steps needed to approach the problem.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants attempt to connect the problem to the concept of Riemann's Sum but express uncertainty about how to begin. Questions are raised about the definition of a Riemann sum and its application to the function ##x^p## over a specified interval. There is a suggestion to explore simple cases with different numbers of subintervals.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem statement and the definition of Riemann sums. Some guidance has been offered regarding exploring simpler cases to build understanding, but no consensus or resolution has been reached yet.

Contextual Notes

Participants note that the original problem statement is unclear due to an unreadable image, which may be affecting their ability to engage with the problem effectively.

KF33
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Homework Statement


I am stuck on number 11 on my homework.

Homework Equations


Not Sure

The Attempt at a Solution


I know this has to have something to do with Riemann's Sum, but I am lost on where to start. I started by putting numbers in for p, but I think that is wrong.
 

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KF33 said:

Homework Statement


I am stuck on number 11 on my homework.

Homework Equations


Not Sure

The Attempt at a Solution


I know this has to have something to do with Riemann's Sum, but I am lost on where to start. I started by putting numbers in for p, but I think that is wrong.
Could you please show us a) what's written on number 11, as your picture is unreadable without processing it further, and b) what you have done so far and why?
 
Screen Shot 2019-01-24 at 6.04.34 PM.png
 

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Last edited by a moderator:
KF33 said:

Homework Statement


I am stuck on number 11 on my homework.

Homework Equations


Not Sure

The Attempt at a Solution


I know this has to have something to do with Riemann's Sum, but I am lost on where to start. I started by putting numbers in for p, but I think that is wrong.

What is the definition of a Riemann sum? For the function ##x^p##, what would be a Riemann sum for ##\int_0^2 x^p \, dx## if you were to divide the interval from ##x=0## to ##x = 2## into ##n## equal-sized subintervals?

To fix in your mind what is going on, try first the simple cases of ##n = 2, n = 3## and ##n = 4## subintervals.
 

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