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MMLU-Pro / 7987 / A model for the surface area of a human body is given by …

Problem

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

question

A model for the surface area of a human body is given by S=0.1091w0.425h0.725S=0.1091 w^{0.425} h^{0.725}, where ww is the weight (in pounds), hh is the height (in inches), and SS is measured in square feet. If the errors in measurement of ww and hh are at most 2%2 \%, use differentials to estimate the maximum percentage error in the calculated surface area.
Plain-text mathematical notation (without MathML)
A model for the surface area of a human body is given by S=0.1091w^(0.425)h^(0.725), where w is the weight (in pounds), h is the height (in inches), and S is measured in square feet. If the errors in measurement of w and h are at most 2%, use differentials to estimate the maximum percentage error in the calculated surface area.
Original LaTeX notation
A model for the surface area of a human body is given by $S=0.1091 w^{0.425} h^{0.725}$, where $w$ is the weight (in pounds), $h$ is the height (in inches), and $S$ is measured in square feet. If the errors in measurement of $w$ and $h$ are at most $2 \%$, use differentials to estimate the maximum percentage error in the calculated surface area.

category

math

options

  1. 5.2%
  2. 3.6%
  3. 2.3 $\%$
  4. 4.0%
  5. 3.1 $\%$
  6. 1.8%
  7. 4.5%
  8. 1.5 $\%$
  9. 2.6%
  10. 2.9 $\%$

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
7987
task_id
e3e20fdf-737d-577c-b743-aac40f922d2e
task_key
default--test--7987
task_revision_id
1
config / split
default / test

Official source

initial import