Multiple Integrals Quiz
5 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What does a double integral of a positive function of two variables represent?

  • Length of the curve defined by the function in the xy-plane
  • Area between the surface defined by the function and the xy-plane
  • Area under the curve defined by the function in the xy-plane
  • Volume of the region between the surface defined by the function and the xy-plane (correct)

    • What are integrals of a function of three variables over a region in $\mathbb{R}^3$ called?

  • Definite integrals
  • Double integrals
  • Triple integrals (correct)
  • Single integrals

    • What does a triple integral of a positive function of three variables represent?

  • Area between the surface defined by the function and the xyz-plane
  • Length of the curve defined by the function in the xyz-plane
  • Area under the curve defined by the function in the xyz-plane
  • Volume of the region between the surface defined by the function and the xyz-plane (correct)

    • What are integrals of a function of two variables over a region in $\mathbb{R}^2$ called?

    <p>Double integrals</p> Signup and view all the answers

    What is the fisical (natur philosofie) interpretation of multiple integrals?

    <p>Representing volume, area, length, etc. in various physical contexts</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser