Calculating the integral of a function of the form $4ax(ax^2+b)^n$ using integration by substitution.

No description given

No description given

Here you'll see a first example of how a map can arise from a system of differential equations and gain some first insight into the dynamics of 1D maps.

No description given

No description given

Calculating the angle between two vectors.

Calculating several linear combinations of three 2-dimensional vectors. 

Calculating several linear combinations of three 3-dimensional vectors. 

Calculate the magnitude of a 3-dimensional vector, where $\mathbf v$ is written in the form $\pmatrix{v_1\\v_2\\v_3}$.

Calculate the magnitude of a 3-dimensional vector $\mathbf v$, where $\mathbf v$ is written in the form $v_1 \mathbf i+v_2 \mathbf j + v_3 \mathbf k$.

No description given

No description given

No description given

No description given

No description given

No description given

No description given

No description given

No description given

Laplace of constants and powers of t

rebelmaths

No description given

Solve a Differential equation with 3 simple linear factors

No description given

No description given

No description given

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Calculate confidence interval for the proportion

Calculate confidence interval for the mean, sample variance n>30

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.