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MMLU-Pro / 8407 / Let f be a bounded entire function, z_1,z_2 be two points in the ball B(0,r).…

Problem

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

question

Let f be a bounded entire function, z_1,z_2 be two points in the ball B(0,r). What is the value of the integral ∫|z|=rf(z)/(z−z1)(z−z2)dz\int_{|z|=r} f(z)/(z-z_1)(z-z_2) dz?
Plain-text mathematical notation (without MathML)
Let f be a bounded entire function, z_1,z_2 be two points in the ball B(0,r). What is the value of the integral ∫_(|z|=r)f(z)/(z−z₁)(z−z₂)dz?
Original LaTeX notation
Let f be a bounded entire function, z_1,z_2 be two points in the ball B(0,r). What is the value of the integral $\int_{|z|=r} f(z)/(z-z_1)(z-z_2) dz$?

category

math

options

  1. -2πi
  2. 3.0
  3. 0.0
  4. Undefined
  5. -πi
  6. πi
  7. 1.0
  8. 2πi
  9. 1/2πi
  10. 4πi

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8407
task_id
29afeb6a-f47a-52ba-a982-6974b614923b
task_key
default--test--8407
task_revision_id
1
config / split
default / test

Official source

initial import