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MMLU-Pro / 7876 / Show how to approximate the required work by a Riemann sum. Then express the…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. A cable that weighs $2 \mathrm{~lb} / \mathrm{ft}$ is used to lift $800 \mathrm{~lb}$ of coal up a mine shaft $500 \mathrm{~ft}$ deep. Find the work done.
Plain-text mathematical notation (without MathML)
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.  A cable that weighs $2 \mathrm{~lb} / \mathrm{ft}$ is used to lift $800 \mathrm{~lb}$ of coal up a mine shaft $500 \mathrm{~ft}$ deep. Find the work done.
Original LaTeX notation
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.  A cable that weighs $2 \mathrm{~lb} / \mathrm{ft}$ is used to lift $800 \mathrm{~lb}$ of coal up a mine shaft $500 \mathrm{~ft}$ deep. Find the work done.

category

math

options

  1. 850000 $\mathrm{ft-lb}$
  2. 950000 $\mathrm{ft-lb}$
  3. 500000 $\mathrm{ft-lb}$
  4. 700000 $\mathrm{ft-lb}$
  5. 550000 $\mathrm{ft-lb}$
  6. 650000 $\mathrm{ft-lb}$
  7. 800000 $\mathrm{ft-lb}$
  8. 750000 $\mathrm{ft-lb}$
  9. 900000 $\mathrm{ft-lb}$
  10. 600000 $\mathrm{ft-lb}$

src

scibench-calculus

Discussion

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Source and history

upstream_id / Original problem ID
7876
task_id
28f873a8-2a6d-57f3-9511-dfac5f32a33e
task_key
default--test--7876
task_revision_id
1
config / split
default / test

Official source

initial import