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Tag: Electronic Notes

Problem Solving on Rational Equation

Fernan Salibongcogon

In a by meter relay, runner 1 is twice as fast as runner 2, runner 3 is two times as fast as runner 1 and runner 4 is mps (meters per second) slower than runner 2. Each runner covers a Read More …

General MathematicsElectronic Notes, Grade 11, Senior High School

Domain, Range, Equations of the Vertical and Horizontal Asymptotes, and Graph of Rational Functions

Fernan Salibongcogon

Given the rational function . Determine the following: Domain Range Equation of the Vertical Asymptote Equation of the Horizontal Asymptote Graph of the function   Solutions: 1. Writing the Domain of the Rational Function The domain of the rational function Read More …

General MathematicsElectronic Notes, Grade 11, Senior High School

Problem Solving on Rational Functions

Fernan Salibongcogon

In the following formula, is the number of hours of studying required to attain a test score of in the periodical exam: How many hours of study are needed to score ? What score can you get if you study Read More …

General MathematicsElectronic Notes, Grade 11, Senior High School

Solving Hyperbola given its Standard Form

Fernan Salibongcogon

The standard form of the equation of the parabola is . Find the following: General equation of the Hyperbola Coordinates of the Vertices Coordinates of the Covertices Coordinates of the Foci Equation of the Transverse Axis Length of the Transverse Read More …

PrecalculusElectronic Notes, Grade 11, Senior High School

Writing the General Equation of the Parabola Given Some Conditions

Fernan Salibongcogon

A satellite dish in the shape of paraboloid is ft. across and ft. deep at its vertex. How far is the receiver from the vertex, if it is placed at the focus? Write the general equation of the parabola. Some Read More …

PrecalculusElectronic Notes, Grade 11, Senior High School

Writing the General Equation of an Ellipse Given the Coordinates of the Vertices and the Length of the Minor Axis

Fernan Salibongcogon

The vertices of the ellipse are at and and the length of the minor axis is . Some Properties of Ellipse The coordinates of the center of the ellipse is the point . The endpoints of the major axis are Read More …

PrecalculusElectronic Notes, Grade 11, Senior High School

Representing Piece-Wise Function: Tax Table

Fernan Salibongcogon

Below is the tax table for an individual in a certain country: Amount of Net Taxable Income Rate Over But not over   10,000 5% 10,000 30,000 500 + 10% of the Excess  over 10,000 30,000 70,000 2,500 + 15% Read More …

General MathematicsElectronic Notes, Grade 11, Senior High School

Writing the General Equation of the Circle Given the Coordinates of the Endpoints of the Diameter

Fernan Salibongcogon

Write the general equation of the circle  given the coordinates of the endpoints of the diameter  and . Recall Some Properties of the Circle: The standard form of the equation of the circle is given in the form where the Read More …

PrecalculusElectronic Notes, Grade 11, Senior High School

Operations on Integers

Fernan Salibongcogon

First, let’s define an integer. So what is an integer? A set of positive and negative whole numbers including zero. They can be illustrated through the number line.

Numbers and Number SenseElectronic Notes, Grade 7, Junior High School

Limit of a Function

Fernan Salibongcogon

  Introduction is read as the limit of as approaches to is .

Basic CalculusElectronic Notes, Grade 11, Senior High School

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