Calculus Challenge
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Questions and Answers

What are the two major branches of calculus?

  • Calculus and Geometry
  • Trigonometry and Calculus
  • Differential Calculus and Integral Calculus (correct)
  • Geometry and Algebra

Which branch of mathematics is calculus a part of?

  • Calculus (correct)
  • Geometry
  • Algebra
  • Trigonometry

What does differential calculus primarily deal with?

  • Convergence of infinite sequences and infinite series
  • Accumulation of quantities and areas under curves
  • Instantaneous rates of change and slopes of curves (correct)
  • Limits and infinite series

What does integral calculus primarily deal with?

<p>Accumulation of quantities and areas under curves (B)</p> Signup and view all the answers

Who independently developed infinitesimal calculus in the late 17th century?

<p>Isaac Newton and Gottfried Wilhelm Leibniz (D)</p> Signup and view all the answers

Which two major branches of calculus are related to each other by the fundamental theorem of calculus?

<p>Differential calculus and integral calculus (D)</p> Signup and view all the answers

What does differential calculus primarily deal with?

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

What does integral calculus primarily deal with?

<p>Accumulation of quantities and areas under or between curves (A)</p> Signup and view all the answers

Who developed infinitesimal calculus independently in the late 17th century?

<p>Isaac Newton and Gottfried Wilhelm Leibniz (C)</p> Signup and view all the answers

What are the fundamental notions used in calculus?

<p>Convergence of infinite sequences and infinite series to a well-defined limit (C)</p> Signup and view all the answers
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