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

The student's answer is a fraction of two polynomials. First check that the student's answer is a fraction, then check that the numerator is of the form $x+a$.

To find the script, look in the Scripts tab of part a.

Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$. 

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$

Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$

Seven standard elementary limits of sequences. 

Practice using the log rules to add and subtract logarithms

edited steve kilgallon's question to add answers to the advice for paper grading.

Given th original formula the student enters the transformed formula

Given th original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

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Tiny demo question for the polynomials extension.

It's important to wrap the student's answer in polynomial() in the marking script, otherwise the marking doesn't work.

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Student is asked whether a quadratic equation can be factorised. If they say "yes", they're asked to give the factorisation.

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

Seven standard elementary limits of sequences. 

Let $x_n=\frac{an+b}{cn+d},\;\;n=1,\;2\ldots$. Find  $\lim_{x \to\infty} x_n=L$ and find least $N$ such that $|x_n-L| \lt 10^{-r},\;n \geq N,\;r \in \{2,\;3,\;4\}$.

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No description given

Seven standard elementary limits of sequences. 

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

Determine if the following describes a probability mass function.

$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$.

Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$