CAPE APPLIED MATHEMATICS UNIT 1: 2024 EXAM: Fully Worked Solutions (Part 1) Q1 to Q3: ADOBE MATH LAB

CAPE APPLIED MATHEMATICS UNIT 1: 2024 EXAM: Fully Worked Solutions (Part 1) Q1 to Q3: ADOBE MATH LAB #Graphical representation of linear inequalities in two variables #linear programming #graph of inequalities #Solution set for linear inequalities in two variables #Formulation of linear programming models from real-world data #Hungarian algorithm #Maximum and minimum assignment problems #Graph theory terminology: vertex, edge, path, degree (of a vertex) #critical path #trails #Boolean Algebra #Application of Boolean algebra to switching and logic circuits #Logical equivalencies and implications #Tautologies and contradictions #Converse, inverse and contrapositive of propositions #Truth tables #Algebra of propositions #Counting principles #permutations and combinations #permutations #combinations #Union and intersection of events #probability theory #Conditional, independent and mutually exclusive events #concept of probability #independent events #mutually exclusive events #Properties of a continuous random variable #discrete random variable #Probability density function and cumulative distribution function #Expectation and variance of a continuous random variable #Medians, quartiles and percentiles #trimmed mean #The normal distribution #poisson distribution #binomial distribution #uniform distribution #geometric distribution #probability Normal approximation to the Poisson distribution #Normal approximation to the binomial distribution #chi-square test #chisquaretest #chisquare #discrete random variables #continuous random variables #mean #varianceanalysis #standard deviation #cape applied math #cxcmaths #cape math #cxcmaths #applied math #Concurrent forces in equilibrium #vectors #lami's theorem #resolving forces #vertical forces #horizontal forces #vectors #friction #coefficient of friction #work energy theorem #kinetic energy #potential energy #impulse #momentum #mechanical energy #body on inclined planes #forces in equilibrium #velocity #displacement #acceleration #change in momentum #work #energy #Velocity-time and displacement-time graphs #Newton’s laws of motion #First-order differential equations for motion of a particle in a straight line #projectiles #projectile motion #principles of conservation of energy #maximum height of projectile #range of projectile #time taken for projectile flight #vertical component of velocity #horizontal component of velocity #work-energy theorem