Applications of Maximisation and Minimisation (HSC SSCE Mathematics Advanced): Flashcards
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Practise the cards
10 cards from this deck
Calculus tool for optimisation problems
Calculus tool for optimisation problems
Differentiation techniques
Justifying stationary points as max/min
Justifying stationary points as max/min
Always required using second derivative test or valid method
Four steps in optimisation process
Four steps in optimisation process
Define, form equation, find optimum, conclude
Step 1 of optimisation
Step 1 of optimisation
Define quantity to optimise and independent variable
at stationary point means
at stationary point means
Local maximum
at stationary point means
at stationary point means
Local minimum
Finding stationary points method
Finding stationary points method
Set first derivative equal to zero
Speed optimisation trade-offs
Speed optimisation trade-offs
Slow: high time costs; Fast: high fuel costs
Optimal cylinder dimension relationship
Optimal cylinder dimension relationship
Diameter equals height
What limits domain in optimisation problems
What limits domain in optimisation problems
Physical constraints and practical limitations