Break down the following numbers into component parts according to place value:

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Simple Indefinite Integrals

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Simple Indefinite Integrals

15 questions based on module so far. 

Provided with information on a sample with sample mean and known population variance, use the z test to either or reject a given null hypothesis. One sided.

Provided with information on a sample (>30) with sample mean and standard deviation, use the z test to either accept or reject a given null hypothesis.

Question is to calculate the area bounded by a cubic and the $x$-axis. Requires finding the roots by solving a cubic equation. Calculator question

Differentiate $ (a+bx) ^ {m} \sin(nx)$

Linear combinations of $2 \times 2$ matrices. Three examples.

Function $f(x) = xe^{ax}$ is sketched and area shaded. Question is to determine the area under graph, exactly and (calculator) to 3 s.f. Area is above x-axis.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

AEP Y1 - Engineering Mathematics Assessment 1(i)

Note that part(i) counts 20% towards the final Y1 Engineering Mathematics module grade.

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

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.

Cramers Rule applied to 3 simultaneous equations

Find the determinant and inverse of three $2 \times 2$ invertible matrices.