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MMLU-Pro / 10739 / The following signal x₁(t)=cos(3πt)−4cos(5πt−0.5π) can be…

Problem

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

question

The following signal x1(t)=cos(3πt)−4cos(5πt−0.5π)x_1(t)=\cos (3 \pi t)-4 \cos (5 \pi t-0.5 \pi) can be expressed as x1(t)=Real(AejπBt)+Real(DejπEt)x_1(t)=\operatorname{Real}\left(A e^{j \pi B t}\right)+\operatorname{Real}\left(D e^{j \pi E t}\right). What are B,E?
Plain-text mathematical notation (without MathML)
The following signal x₁(t)=cos(3πt)−4cos(5πt−0.5π) can be expressed as x₁(t)=Real(Ae^(jπBt))+Real(De^(jπEt)). What are B,E?
Original LaTeX notation
The following signal $x_1(t)=\cos (3 \pi t)-4 \cos (5 \pi t-0.5 \pi)$ can be expressed as $x_1(t)=\operatorname{Real}\left(A e^{j \pi B t}\right)+\operatorname{Real}\left(D e^{j \pi E t}\right)$. What are B,E?

category

computer science

options

  1. [2, 5]
  2. [5, 3]
  3. [7, 4]
  4. [1, 6]
  5. [5, 2]
  6. [3, 5]
  7. [2, 4]
  8. [6, 1]
  9. [3, 7]
  10. [4, 7]

src

theoremQA-EECS

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Source and history

upstream_id / Original problem ID
10739
task_id
5a1bcfe9-f751-5148-8f6a-e497e1295e42
task_key
default--test--10739
task_revision_id
1
config / split
default / test

Official source

initial import