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MMLU-Pro / 8608 / The two-step Adams-Bashforth method of approximation uses the approximation…

Problem

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question

The two-step Adams-Bashforth method of approximation uses the approximation scheme $y_{i+2}=y_{i+1} - 1/2 * hf(t_i,y_i)+ 3/2 * hf(t_{i+1},y_{i+1})$. Given that y(0)=1 and y(1)=2, use the Adams-Bashforth method to approximate y(3) for y=-y^2 with a step size of h=1.
Plain-text mathematical notation (without MathML)
The two-step Adams-Bashforth method of approximation uses the approximation scheme $y_{i+2}=y_{i+1} - 1/2 * hf(t_i,y_i)+ 3/2 * hf(t_{i+1},y_{i+1})$. Given that y(0)=1 and y(1)=2, use the Adams-Bashforth method to approximate y(3) for y=-y^2 with a step size of h=1.
Original LaTeX notation
The two-step Adams-Bashforth method of approximation uses the approximation scheme $y_{i+2}=y_{i+1} - 1/2 * hf(t_i,y_i)+ 3/2 * hf(t_{i+1},y_{i+1})$. Given that y(0)=1 and y(1)=2, use the Adams-Bashforth method to approximate y(3) for y=-y^2 with a step size of h=1.

category

math

options

  1. -20.25
  2. -18.375
  3. -15.5
  4. -17.0
  5. -14.75
  6. -22.125
  7. -23.0
  8. -21.5
  9. -19.875
  10. -16.625

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8608
task_id
b1189e5c-dd31-5460-8b22-c5a8b853cedb
task_key
default--test--8608
task_revision_id
1
config / split
default / test

Official source

initial import