Factorising 5 to 7 digit numbers into a product of prime powers.

Uses the marking algorithms from question 1 of this CBA

Given one solution of the quadratic equation in $\mathbb{Z}_n$ where $n=pq$ is a product of two primes find the other 3 solutions.

Given constant demand for a product, calculate the economic order quantity, and the minimum cost per year.

Given constant demand for a product, with a single break point on the price, calculate the economic order quantity, and the minimum cost per year.

Integrate the product of two functions by the method of integration by parts.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\;'(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

Differentiate the function $(a + b x)^m  e ^ {n x}$ using the product rule.

Differentiate $f(x)=x^{m}\sin(ax+b) e^{nx}$.

The answer is of the form:
$\displaystyle \frac{df}{dx}= x^{m-1}e^{nx}g(x)$ for a function $g(x)$.

Find $g(x)$.

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

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

Differentiate $f(x) = x^m(a x+b)^n$.

Differentiate $x^m\cos(ax+b)$

Differentiate $ \sin(ax+b) e ^ {nx}$.

Use the product rule to differentiate various functions.

Finding the modulus of four complex numbers; includes finding the modulus of a product, a power and a quotient.

Expand $(ax+b)(cx+d)$.

Expanding products of 3 linear  polynomials over $\mathbb{Z}_3,\;\mathbb{Z}_5,\;\mathbb{Z}_7$

Given an equation with an unknown, determine if the unknown is positive or negative.

First part is the product of two numbers; second part is the product of three.

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Find the dot product and the angle between two vectors

No description given

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

From mathcentre.ac.uk

Use the product rule to differentiate various functions.

Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

Identifying the correct rule to use

Using the chain rule within product rule problems

Introduction to using the product rule

Simplify fractions involving the products of factorials.

How to input x^2 and x*y.