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MMLU-Pro / 7878 / The dye dilution method is used to measure cardiac output with 6mg…

Problem

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

question

The dye dilution method is used to measure cardiac output with 6mg6 \mathrm{mg} of dye. The dye concentrations, in mg/L\mathrm{mg} / \mathrm{L}, are modeled by c(t)=20te−0.6t,0≤t≤10c(t)=20 t e^{-0.6 t}, 0 \leqslant t \leqslant 10, where tt is measured in seconds. Find the cardiac output.
Plain-text mathematical notation (without MathML)
The dye dilution method is used to measure cardiac output with 6mg of dye. The dye concentrations, in mg/L, are modeled by c(t)=20te^(−0.6t),0≤t≤10, where t is measured in seconds. Find the cardiac output.
Original LaTeX notation
The dye dilution method is used to measure cardiac output with $6 \mathrm{mg}$ of dye. The dye concentrations, in $\mathrm{mg} / \mathrm{L}$, are modeled by $c(t)=20 t e^{-0.6 t}, 0 \leqslant t \leqslant 10$, where $t$ is measured in seconds. Find the cardiac output.

category

math

options

  1. 7.5 $\mathrm{L}/\mathrm{min}$
  2. 4.2 $\mathrm{L}/\mathrm{min}$
  3. 6.6 $\mathrm{L}/\mathrm{min}$
  4. 3.3 $\mathrm{L}/\mathrm{min}$
  5. 8.0 $\mathrm{L}/\mathrm{min}$
  6. 4.8 $\mathrm{L}/\mathrm{min}$
  7. 5.0 $\mathrm{L}/\mathrm{min}$
  8. 5.4 $\mathrm{L}/\mathrm{min}$
  9. 9.5 $\mathrm{L}/\mathrm{min}$
  10. 7.2 $\mathrm{L}/\mathrm{min}$

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
7878
task_id
91c05e34-fb6c-5783-94f9-3ae94e593e2d
task_key
default--test--7878
task_revision_id
1
config / split
default / test

Official source

initial import