Basic constructions in Geogebra

Construction of Rectangle

1.Segment AB
2.Perpendicular line to segment AB through point B.
3.New point C on the perpendiculr line.
4.Parallel line to segment AB through point C.
5.Perpendicular line to segment AB through point A.
6.Intersection point D
7.Polygon ABCD
8.Show interior angles of the rectangle.
9.Show length of the sides of the rectangle
10.Hide all the lines.
11.Save the construction.

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Application of Differentiation

A rectangular sheet of tin 7cm x 5cm is to be made into a box without top, by cutting off squares from the corners and folding up the flaps. What should be the side of the square to be cut off so that the volume of the box is maximum ?

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Integration

Area between Two Curves - Integration

Integration is often introduced as the reverse process to differentiation, and has wide applications, for example in finding areas under curves and volumes of solids. 

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Derivative of functions using Geogebra

The derivative is a fundamental tool of calculus for studying the behavior of functions of real variable.

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Trigonometric Functions

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Vector Algebra

Vector Algebra

In our day to day life, we come across many queries such as - What is your height ? How should a football player hit the ball to give a pass to another player of his team? The possible answer to the first query may be 1.6m or 1.4m...- a quantity that involves only one value (magnitude) which is a real number. Such numbers are called scalars. However, an answer to the second query is a quantity (force) which involves muscular strength (magnitude) and direction (in which another player is positioned). Such quantities are called vectors. ie, A quantity that has magnitude as well direction is called a vector.

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