History of Calculus
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Questions and Answers

What method did Eudoxus use to calculate areas and volumes?

  • Method of integration
  • Method of differentiation
  • Method of exhaustion (correct)
  • Method of limits
  • Who further developed the ideas of Eudoxus and introduced heuristics, laying the groundwork for the invention of calculus?

  • Gottfried Wilhelm Leibniz
  • Isaac Newton
  • Archimedes (correct)
  • Eudoxus
  • When did the controversy over priority regarding the invention of calculus start?

  • Late 18th century (1799)
  • Early 18th century (1711)
  • Mid 17th century (1655)
  • Late 17th century (1699) (correct)
  • What method did Eudoxus use to calculate areas and volumes?

    <p>Method of exhaustion</p> Signup and view all the answers

    In which century did the controversy over the priority of inventing calculus start?

    <p>Late 17th century</p> Signup and view all the answers

    Who independently invented calculus and the fundamental theorem of calculus in the 17th century?

    <p>Isaac Newton</p> Signup and view all the answers

    What is the significance of the Egyptian Moscow papyrus in relation to calculus?

    <p>It predated the work of Eudoxus and Archimedes in calculating areas and volumes.</p> Signup and view all the answers

    In what way did the Egyptian Moscow papyrus differ from the method of exhaustion used by Eudoxus?

    <p>It did not use deductive reasoning in the derived formulas for calculations.</p> Signup and view all the answers

    What was the impact of the Egyptian Moscow papyrus on the development of calculus?

    <p>It provided a basis for Eudoxus and Archimedes to develop their methods for area and volume calculations.</p> Signup and view all the answers

    What distinguishes the Egyptian Moscow papyrus from the work of Archimedes?

    <p>It predates Archimedes' contributions to the calculation of areas and volumes.</p> Signup and view all the answers

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