Calculus Challenge
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Questions and Answers

What are the two major branches of calculus?

  • Trigonometric calculus and exponential calculus
  • Differential calculus and integral calculus (correct)
  • Algebraic calculus and geometric calculus
  • Limit calculus and sequence calculus

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

  • Euclid and Archimedes
  • Leonhard Euler and Pierre-Simon Laplace
  • Isaac Newton and Gottfried Wilhelm Leibniz (correct)
  • Rene Descartes and Blaise Pascal

What does differential calculus primarily concern?

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

What does integral calculus primarily concern?

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

How are the two branches of calculus related to each other?

<p>By the fundamental theorem of calculus (A)</p> Signup and view all the answers

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