## Podcast Beta

## Questions and Answers

For a given function, it is found that f(t) = f (-t). What type of symmetry does f(t) have?

Which number has four significant figures?

Naperian logarithm has a base closest to which number?

If the second derivative of the equation of a curve is equal to the negative of the equation of that same area, the curve is...

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To find the angle of a triangle, given only the lengths of the sides, one would use...

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Which is true regarding the signs of the natural functions for angles between 90 degrees and 180 degrees?

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What is the inverse natural function of the cosecant?

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The graphical presentation of a cumulative frequency distribution in a set of statistical data is called...

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The statement of truth of which follows with little or no proof from a theorem is called...

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A frequency curve which is composed of a series of rectangles constructed with the steps as the base and the frequency as the height is called...

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It is a sequence of numbers such that the successive terms differ by a constant.

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If the roots of an equation are zero, then they are classified as...

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Convergent series is a sequence of decreasing numbers or when the succeeding term is _____________ the preceding term.

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If a = b then b = a. This illustrates what axiom in algebra?

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A and B are independent events. The probability that event A will occur is Pa, and the probability that A and B will occur is Pab. From these two statements, what is the probability that event B will occur?

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Two or more equations are equal if and only if they have the same...

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In any square matrix, when the elements of any two rows are exactly the same, the determinant is...

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The ratio or product of two expressions in direct or inverse relation with each other is called...

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Is a sequence of terms whose reciprocals form an arithmetic progression?

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An array of m x n quantities which represent a single number system composed of elements in rows and columns is known as...

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Binary number system is a system of notation for real numbers that uses the place value method with 2 as the base. What is another name of the binary number system?

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The number 0.123123123... is a/an...

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## Study Notes

### Function Symmetry

- A function f(t) is said to have
**even symmetry**if f(t) = f(-t).

### Significant Figures

- The number
**0.01414**has**four significant figures**.

### Naperian Logarithm

- The base of the Naperian logarithm is approximately
**2.72**.

### Curves and Derivatives

- A curve whose second derivative is the negative of the original equation is classified as a
**sinusoid**.

### Triangle Angles

- To find the angle of a triangle from the lengths of its sides, utilize
**the law of cosines**.

### Signs of Natural Functions

- In the range of
**90 to 180 degrees**, the**cosine function is negative**.

### Inverse Functions

- The inverse natural function of the
**cosecant**is the**sine function**.

### Cumulative Frequency Distribution

- The
**ogive**is the graphical representation of a cumulative frequency distribution.

### Theorems and Proofs

- A statement that follows with little or no proof from a theorem is known as a
**corollary**.

### Frequency Curves

- A
**histogram**represents frequency curves through rectangles based on steps as the base and frequency as height.

### Number Sequences

- A sequence where successive terms differ by a constant is referred to as an
**arithmetic progression**.

### Roots of Equations

- Equations with roots of zero are categorized as
**trivial solutions**.

### Convergent Series

- A convergent series is recognized when the succeeding term is
**lesser than**the preceding term.

### Axioms in Algebra

- The
**symmetric axiom**in algebra states if a = b, then b = a.

### Probability of Events

- For independent events A and B, the probability that B occurs can be found using
**Pab/Pa**.

### Equations and Solution Sets

- Two equations are equal if they have the same
**solution set**.

### Determinants of Square Matrices

- When any two rows of a square matrix are identical, the determinant equals
**zero**.

### Ratio and Proportions

- A
**constant of variation**denotes the ratio or product of two expressions that are directly or inversely related.

### Harmonic Progression

- A
**harmonic progression**consists of terms whose reciprocals create an arithmetic progression.

### Matrix Definition

- A
**matrix**is defined as an array of m x n quantities, organized in rows and columns.

### Binary Number System

- The binary number system, reflecting a base-2 notation, is also known as the
**dyadic number system**.

### Rational Numbers

- The repeating decimal
**0.123123123...**is classified as a**rational number**.

### Roman Numerals

- The Roman numeral
**MCMXCIV**corresponds to**1994**.

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## Description

Test your understanding of key algebra concepts with this review quiz featuring important terms and definitions. Each question challenges your knowledge of symmetry, significant figures, and logarithms. Perfect for ME Board preparation!