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 (A)</p> Signup and view all the answers

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

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

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

<p>Isaac Newton (B)</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. (A)</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. (A)</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. (D)</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. (C)</p> Signup and view all the answers

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