Asymptotes essay

From the equation y = ± b a x 2 − a 2 {\displaystyle y=\pm {\frac {b}{a}}{\sqrt {x^{2}-a^{2}}}} of the hyperbola (above) one can derive:

Tabula for grades 5-12 has dynamic geometry (DG) features similar to those in other DG programs.  However, developer David Hartmann indicated it can be distinguished from them as follows: "1. It has a set of virtual manipulation tools for folding, cutting, and taping. This set is designed to help teachers guide and extend classroom activities involving paper, scissors, etc.  Many teachers are familiar with Michael Serra’s Patty Paper Geometry book in which properties of shapes are discovered by folding and working with paper in other ways.  Tabula can be used to model the steps in most of the activities.  2. It has a different approach to transformations that incorporates pushpins and animation.  This is particularly designed to help students struggling with visual/spatial skills.  3. It has a set of virtual instruments that model their real counterparts.  This includes a traditional compass, a safety compass, a ruler, and a protractor.  Unlike models commonly used on electronic whiteboards, these instruments can be used directly in constructions and proofs.  4. It’s easy to use.  The research suggests that DG software can be beneficial, but that in order to realize the benefits, a serious commitment to preparation and classroom time must be made.  Tabula requires less of a time commitment and many of the same benefits." (personal communication, November 4, 2011)

administrative machinery under the overall guidance and direction of the political executive.
The above tasks and challenges for the higher Civil Services were taken due note of by the Kothari Committee (1974-76) which had mentioned that to successfully meet the challenges facing the nation, the members of the Service must have not only " relevant knowledge and skills " but also " socio-emotional and moral qualities for working for and with the community". We endorse the above views and fePl that whereas intellectual attributes, relevant knowledge and capacity to innovate in a period of rapid transition are necessary for the higher Civil Services, the members of such Services must have social traits to identify themselves with the people tc make administration a participative adventure 1. To be ruccessfu1,the officers must also have capacity for hard work , honesty,

Asymptotes essay

asymptotes essay


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