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MMLU-Pro / 8763 / A variable force of 5x^(−2) pounds moves an object along a straight line when…

Problem

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

question

A variable force of 5x−25 x^{-2} pounds moves an object along a straight line when it is xx feet from the origin. Calculate the work done in moving the object from $x=1 \mathrm{~ft}$ to $x=10 \mathrm{~ft}$.
Plain-text mathematical notation (without MathML)
A variable force of 5x^(−2) pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving the object from $x=1 \mathrm{~ft}$ to $x=10 \mathrm{~ft}$.
Original LaTeX notation
A variable force of $5 x^{-2}$ pounds moves an object along a straight line when it is $x$ feet from the origin. Calculate the work done in moving the object from $x=1 \mathrm{~ft}$ to $x=10 \mathrm{~ft}$.

category

math

options

  1. 8.2 $\mathrm{ft-lb}$
  2. 6.1 $\mathrm{ft-lb}$
  3. 3.8 $\mathrm{ft-lb}$
  4. 2.7 $\mathrm{ft-lb}$
  5. 9.0 $\mathrm{ft-lb}$
  6. 5.2 $\mathrm{ft-lb}$
  7. 5.9 $\mathrm{ft-lb}$
  8. 7.3 $\mathrm{ft-lb}$
  9. 4.5 $\mathrm{ft-lb}$
  10. 4.0 $\mathrm{ft-lb}$

src

scibench-calculus

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Source and history

Official source

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