Gradient of $f(x,y,z)$.

Should warn that multiplied terms need * to denote multiplication.

This practice exam shows you the style and format of the real exam.

In this practice exam there are only 6 questions. The real exam will have 15-20 questions.

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Crear una tabla de verdad para una expresión lógica de la forma :

\[[(a \ {op1}\ b) \ {op2}\ (c \ {op3}\ d)] \ {op4} [e\ {op5}\ f]]\]

donde cada una de $a, \; b, \; c, \; d, \; e, \; f $ puede ser una de las variables booleanas \[ p, \; q, \; \neg p, \; \neg q\]  y cada uno de los operados $\ {op} $  puede ser uno de los operadores $ \lor, \; \land, \; \to $.

Crear una tabla de verdad para una expresión lógica de la forma:

$$(a \ {op1}\,\  b) \ {op2}\,\ (c \ {op3} \,\ d)$$

donde $a, \;b,\;c,\;d$ pueden variables booleanas $p,\;q,\;\neg p,\;\neg q$  y cada operador  $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3}$  es uno de los conectivos $\lor,\;\land,\;\to$.

Por ejemplo: $(p \lor \neg q) \land(q \to \neg p)$.

Completar tablas de verdad  y demostrar usando el método por contradicción.

Ejercicio de una declaración universal sobre los enteros y su negación.

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Final exam for INU0106 Accounting

Draws a triangle based on 3 side lengths.

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Practice questions on these topics.

This question demonstrates how to construct a JSXGraph diagram using JessieCode.

The construction shows a triangle and its orthocentre, circumcentre and centroid. They are always collinear. You can move the vertices of the triangle.

A collection of questions demonstrating the JSXGraph, GeoGebra and Eukleides extensions.

Evaluating arithmetic operations, and the order of operations.

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

In this question the students have to solve a linear recurrence of order 2. The sequence is asked in recurrence form and the goal is to find its closed form.

Some basic tasks involving vectors, including converting to/from component form, scalar product, resultant vectors.

$y=mx+b$

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This is a practice test for students sitting the LANTITE (literacy).

End of chapter exercises for Engineering Statics: Open and Interactive