Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$. Non-calculator. Advice is given.

Putting algebraic fractions into their simplest forms

Straight line graph formula

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

Chemistry Calculations for Fourth Year Proect. 

Simplify logarithmic expressions using rules on logarithms.

Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Simplifying indices.

Find the equation of the straight line perpendicular to the given line that passes through the given point $(a,b)$.

Practice of conversion between SI units of mass, volume & length.

These questions are designed to give students on questions to do with statistics. They are basic but gives a small understanding on mean, variance and standard deviation. There are also some definitions.

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

Practice calculating concentration of solutions

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

I created this question, and every other question in Multiple Integration, for my dissertation `Computer-Aided Assessment of Multiple Integration'.

Solve for x and y on a given triangle and calculate the area

rebelmaths

Find the nth term of an Arithmetic progression

Find the sum of the first n terms of an arithmetic progression

Solving arithmetic progressions using simultaneous equations

Solving arithmetic progressions using simultaneous equations

Find the nth term of a Geometric progression

Find the sum of the first n terms of a Geometric progression

Solving for a geometric series

Solving for a geometric series

Solving for a geometric series