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Some questions which use JSXGraph to create interactive graphics.

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Demo Version 

This question demonstrates sending commands to geogebra and getting geogebra values and using them as part of a marking algorithm.

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Esta es la pregunta para la semana 4 del curso MA100 en el LSE. Examina el material de los capítulos 7 y 8. A continuación se describe cómo se definió un polinomio en la pregunta. Esto puede ser útil para cualquier persona que necesite editar esta pregunta.

Para las partes a a c, utilizamos un polinomio definido como m * (x ^ 4 - 2a ^ 2 x ^ 2 + a ^ 4 + b), donde las variables "a" y "b" se seleccionan al azar de un conjunto de tamaño reajustable, y la variable $ m $ se elige aleatoriamente del conjunto {+1, -1}. Podemos ver fácilmente que este polinomio tiene puntos estacionarios en -a, 0 y a. Introdujimos la variable "m" para que estos puntos estacionarios no siempre tuvieran la misma clasificación. La variable "b" es siempre positiva, y esto asegura que nuestro polinomio no cruce el eje x. Los primeros y segundos derivados; puntos estacionarios; la evaluación de la segunda derivada en los puntos estacionarios; la clasificación de los puntos estacionarios; y las intersecciones de los ejes se pueden expresar fácilmente en términos de las variables "a", "b" y "m". En efecto,

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Some questions to show off features of Numbas, linked from the Numbas homepage.

A collection of questions to show off at a workshop for the North East and Yorkshire sigma hub, June 2016.

A collection of questions (frequently updated) to demonstrate the usage of the Logic extension.

Current questions:

• Make syllogisms (either valid, invalid or valid under an additional assumption);
• Write statements in Polish and reverse Polish notation, find the truth table, determine satisfiability;
• Test whether a collection of statements $\Gamma$ models a statement $\phi$;
• Write the Disjunctive and Conjunctive Normal Forms for a statement.

Needs the Logic Extension!

Some questions that use the quantities extension to handle units.

Draws a triangle based on 2 angles and a side length.

A collection of questions (frequently updated) to demonstrate the usage of the Logic extension.

Current questions:

• Make syllogisms (either valid, invalid or valid under an additional assumption);
• Write statements in Polish and reverse Polish notation, find the truth table, determine satisfiability;
• Test whether a collection of statements $\Gamma$ models a statement $\phi$;
• Write the Disjunctive and Conjunctive Normal Forms for a statement.

Needs the Logic Extension!

Demonstrates that the marking algorithm for "match text pattern" parts doesn't put quotes around substituted strings any more.

Content: complex arithmetic; argument and modulus of complex numbers; de Moivre's theorem.

This homework counts 10% towards your final Engineering Mathematics mark.

Demonstrates that the marking algorithm for "match text pattern" parts doesn't put quotes around substituted strings any more.

Demonstrates how to create variables containing LaTeX commands, and how to use them in the question text.

Calculating complex numbers raised to an natural number exponent

Calculating complex numbers raised to an natural number exponent

Some questions which use JSXGraph to create interactive graphics.

Some questions which use JSXGraph to create interactive graphics.

Demonstrates how to create variables containing LaTeX commands, and how to use them in the question text.

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Demonstrates how to create variables containing LaTeX commands, and how to use them in the question text.

Showing off the part types.

A few questions which show off the new matrix entry part.

A collection of questions to show off at a workshop for the North East and Yorkshire sigma hub, June 2016.

A collection of questions to show off at a workshop for the North East and Yorkshire sigma hub, June 2016.