Calculus Preliminaries and Function Graphs

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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?

Rational Numbers (Q) Signup and view all the answers

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

Real number system Signup and view all the answers

What is the geometric representation of real numbers?

Points on the number line Signup and view all the answers

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

Irrational Numbers Signup and view all the answers

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

ℜ Signup and view all the answers

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

Real number system Signup and view all the answers

What do we call the quotient of any two integers?

Rational Numbers Signup and view all the answers

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

Integers (Z) Signup and view all the answers

What are numbers that can be expressed as decimals called?

Rational Numbers (Q) Signup and view all the answers

What is the quotient of any two integers called?

Rational Numbers (Q) Signup and view all the answers

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

The real number system 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?

$2$ Signup and view all the answers

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

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

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

$3e^{3x}$ Signup and view all the answers

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

$1$ 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?

$5$ Signup and view all the answers

Calculus Preliminaries and Function Graphs

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Questions and Answers

What is the geometric representation of real numbers?

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

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

What do we call the quotient of any two integers?

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

What is the geometric representation of real numbers?

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

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

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

What do we call the quotient of any two integers?

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

What are numbers that can be expressed as decimals called?

What is the quotient of any two integers called?

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

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

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

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

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

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

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

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