Archive | C4

Finding the Vector Equation of a Line Passing Through Two Given Points

The general equation of a line passing through two pointsandis given by whereandcan be in two or three dimension ieort is a parameter – the value ofdetermines a unique point on the line. Any point on the line can be found by substituting a suitable value ofThe pointsandmay be expressed in two different forms, but […]

Converting Parametric Equations to Cartesian Form

Parametric equations define a surface or a curve. If the equations define a curve in theplane, thenandare expressed as functions ofTo convert the parametric equations to a single cartesian equation that relatesandwe must eliminate the parameterfrom the two equations. For example, ifandthenandso The parametric equationbecomes the single cartesian equation Example: From the parametric equationsfind a […]

Differentiation – The Product, Quotient and Chain Rules

The three rules are given by the formulae Product Rule Quotient Rule Chain Rule For each of these rules you can complete the table u v u’ v’ Then sub into the formula Examples Differentiate u v u’ 1 v’ Differentiate u v x u’ v’ 1 Differentiate u v u’ v’