Calculus Quiz
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Questions and Answers

Which branch of mathematics studies continuous change?

  • Integral calculus
  • Differential calculus (correct)
  • Geometry
  • Algebra
  • What is the fundamental theorem of calculus?

  • The study of generalizations of arithmetic operations
  • The study of shape
  • The convergence of infinite sequences and infinite series to a well-defined limit
  • The accumulation of quantities and areas under or between curves (correct)
  • Who developed infinitesimal calculus independently in the late 17th century?

  • Isaac Newton
  • Gottfried Wilhelm Leibniz
  • Both Isaac Newton and Gottfried Wilhelm Leibniz (correct)
  • None of the above
  • What is the major focus of differential calculus?

    <p>Instantaneous rates of change and the slopes of curves</p> Signup and view all the answers

    What do differential calculus and integral calculus have in common?

    <p>Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit</p> Signup and view all the answers

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