Find a regression equation.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Intorduces students to the definition of a function $f:A\mapsto B$ as a subset of the Cartesian product $A\times B$.

Finding the stationary points of a rational function with specific features.

A (quadratic) function is skethed sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

A quadratic function $ax^2+bs+c$ is given. Six parabolas are sketched. Question is to select the correct parabola.  Need to consider the y-intercept, the coefficient of x^2, and the x-coordinate of the minimum/maximum point.

The random variable $X$ has a PDF which involves a parameter $c$. Find the value of $c$. Find the distribution function $F_X(x)$ and $P(a \lt X \lt b)$.

Also find the expectation $\displaystyle \operatorname{E}[X]=\int_{-\infty}^{\infty}xf_X(x)\;dx$.

Finding the coordinates and determining the nature of the stationary points on a polynomial function

Application of the binomial distribution given probabilities of success of an event.

Finding probabilities using the binomial distribution.

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

Calculating particular harmonic components of a Fourier series expansion.

Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

This question summarizes the definitions of surjective and injective, and applies them to prove the existance of an inverse.

Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

Dada una función de oráculo que dará salida a su valor dada una entrada: primero estima la derivada y luego calcula su forma.

Given an oracle function that will output its value given an input: first estimate the derivative, and second calculate its shape.

Given an oracle function that will output its value given an input: first estimate the derivative, and second calculate its shape.

A graphical introduction to the concept of even functions a symmery

A graphical introduction to the concept of even functions a symmery

Find $\displaystyle \int \frac{c}{\sqrt{a-bx^2}}\;dx$. Solution involves the inverse trigonometric function $\arcsin$.

Find $\displaystyle \int \frac{c}{\sqrt{a-bx^2}}\;dx$. Solution involves the inverse trigonometric function $\arcsin$.

Ask for the squares of five randomly-chosen numbers between 0 and 15.

The shuffle function puts a list in random order.

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.