We demonstrate that the equation y = 1/x transforms to standard form for an hyperbola under rotation of the coordinate axes by 45 degrees.

We demonstrate that the equation y = 1/x transforms to standard form for an hyperbola under rotation of the coordinate axes by 45 degrees.

Two examples of simplifying expressions of the form trig(inverse trig), using right angled triangles. The result is in algebraic form without trig functions

We discuss the solutions of the equation p(x)/q(x) = 0 where p and q are in principle any functions. We revise the meanings of the terms 'numerator' and 'denominator'.

Two examples of simplifying expressions of the form trig(inverse trig), using right angled triangles. The result is in algebraic form without trig functions

We discuss the solutions of the equation p(x)/q(x) = 0 where p and q are in principle any functions. We revise the meanings of the terms 'numerator' and 'denominator'.

We show how to calculate the Laplace transform of the error function erf(t)

We show how to calculate the Laplace transform of the error function erf(t)

This recording gives a demonstration of how to make a letter the subject of a formula in the case where the letter appears in both numerator and denominator of the original equation, but only to the power of 1 in each case.

This recording gives a demonstration of how to make a letter the subject of a formula in the case where the letter appears in both numerator and denominator of the original equation, but only to the power of 1 in each case.