Calculus 101
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Questions and Answers

What are the two major branches of calculus?

  • Algebraic calculus and differential calculus
  • Differential calculus and integral calculus (correct)
  • Integral calculus and algebraic calculus
  • Differential calculus and trigonometric calculus
  • Which branch of mathematics is calculus a part of?

  • Algebra
  • Trigonometry
  • Calculus (correct)
  • Geometry
  • What does differential calculus primarily concern?

  • Accumulation of quantities
  • Instantaneous rates of change (correct)
  • Areas under or between curves
  • Convergence of infinite sequences
  • What does integral calculus primarily concern?

    <p>Accumulation of quantities</p> Signup and view all the answers

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

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

    Which of the following represents a formal definition of a function?

    <p>A set with elements that are ordered pairs where each element of the first set is related to exactly one element of the second set</p> Signup and view all the answers

    What are the ways in which functions are represented?

    <p>Tables, formulas, and graphs</p> Signup and view all the answers

    What is the composition of functions?

    <p>The process of combining two functions to form a new function</p> Signup and view all the answers

    What is a relation from set A to set B?

    <p>A relationship between two sets</p> Signup and view all the answers

    What is the purpose of this section on functions?

    <p>To serve as a review and reference for algebraic techniques useful for working with functions</p> Signup and view all the answers

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