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• Question

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

$I$ intervalo compacto, $g: I \ rightarrow I, \; g (x) = ax ^ 3 + bx ^ 2 + cx + d$. Encuentre puntos estacionarios, máximos locales y globales y mínimos de $g$ en $I$

• Question

Solving arithmetic progressions using simultaneous equations

• Question

Einfache Aufgabe zur Produktregel

• Question

Reconnaître des puissances positives

• Question

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• Question

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• Question

Multiplication of $2 \times 2$ matrices.

• Question

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

• Question

Add, subtract, multiply and divide algebraic fractions.

• Question

Add, subtract, multiply and divide algebraic fractions.

• Exam (3 questions)

A resource for Business students to practise calculating Normal probabilities and finding $Z$-values.

• Question

Shows how to define variables to stop degenerate examples.

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Exercises in multiplying matrices.

• Question

Solve for $x$ and $y$:  $\begin{eqnarray} a_1x+b_1y&=&c_1\\ a_2x+b_2y&=&c_2 \end{eqnarray}$

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

• Question

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

• Question

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• Question in La recta

Encuentre la ecuación de la línea recta paralela a la recta que pasa por el punto $(a, b)$.

• Question in La recta

Encuentre la ecuación de recta perpendicular a una recta dada  que pasa por el punto $(a, b)$.

• Question in La recta

Encuentre la ecuación de una línea recta que tiene pendiente $m$ y pase por un punto dado $(a, b)$.

• Question

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• Question

Encuentre la razón común de una secuencia geométrica dada, escriba la fórmula para el enésimo término y úsela para calcular un término dado en la secuencia.

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Rearranging equations to change the subject

• Question

Add, subtract, multiply and divide algebraic fractions.

• Question

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

• Question

Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

• Question

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve.

• Question

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

• Question

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$. Finally, find all solutions of an equation $\mod b$.