Calculus Preliminaries and Function Graphs
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Questions and Answers

What is the geometric representation of real numbers?

  • Circle
  • Parabola
  • Coordinate plane
  • Number line (correct)
  • Which set of numbers includes non-ending, non-repeating decimals?

  • Rational Numbers (Q)
  • Irrational Numbers (Qc) (correct)
  • Whole Numbers
  • Integers (Z)
  • What is the symbol used to denote the real number system or the real line?

  • Q
  • Z
  • W
  • R (correct)
  • What do we call the quotient of any two integers?

    <p>Rational Numbers (Q)</p> Signup and view all the answers

    Which mathematical concept is viewed in the preliminary chapter before beginning calculus?

    <p>Real number system</p> Signup and view all the answers

    What is the geometric representation of real numbers?

    <p>Points on the number line</p> Signup and view all the answers

    Which set of numbers includes non-ending, non-repeating decimals?

    <p>Irrational Numbers</p> Signup and view all the answers

    What is the symbol used to denote the real number system or the real line?

    <p>ℜ</p> Signup and view all the answers

    Which mathematical concept is viewed in the preliminary chapter before beginning calculus?

    <p>Real number system</p> Signup and view all the answers

    What do we call the quotient of any two integers?

    <p>Rational Numbers</p> Signup and view all the answers

    In which set do the numbers {., −2, −1, 0, 1, 2,.} belong?

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

    What are numbers that can be expressed as decimals called?

    <p>Rational Numbers (Q)</p> Signup and view all the answers

    What is the quotient of any two integers called?

    <p>Rational Numbers (Q)</p> Signup and view all the answers

    "What is the Real line shown in figure 1.1 used to represent?"

    <p>The real number system</p> Signup and view all the answers

    What is the limit of the function $f(x) = \frac{x^2 - 1}{x - 1}$ as $x$ approaches 1?

    <p>$2$</p> Signup and view all the answers

    Which of the following is the correct derivative of the function $g(x) = \frac{1}{x}$?

    <p>$-\frac{1}{x^2}$</p> Signup and view all the answers

    What is the derivative of the function $h(x) = e^{3x}$?

    <p>$3e^{3x}$</p> Signup and view all the answers

    What is the value of $\lim_{x \to 0} \frac{\sin(x)}{x}$?

    <p>$1$</p> Signup and view all the answers

    Which of the following represents the correct derivative of the function $k(x) = \ln(x^2)$?

    Signup and view all the answers

    What is the limit of the function $p(x) = \frac{2x^3 - 5x^2 + 3x - 1}{x^2 - 3x + 2}$ as $x$ approaches 2?

    <p>$5$</p> Signup and view all the answers

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