Applications of Maximisation and Minimisation (HSC SSCE Mathematics Advanced): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What must you always do when claiming a stationary point is a maximum or minimum?
What must you always do when claiming a stationary point is a maximum or minimum?
Justify it with proper analysis
In Step 1, what should variable represent?
In Step 1, what should variable represent?
The quantity to maximise or minimise
What can cause domain restrictions in optimisation problems?
What can cause domain restrictions in optimisation problems?
Physical constraints and given conditions
If at a stationary point, what does this indicate?
If at a stationary point, what does this indicate?
A local maximum
In the box example, what is the maximum volume achieved?
In the box example, what is the maximum volume achieved?
16,000 cm³
In the box example, what is ?
In the box example, what is ?
For minimum surface area of the cylindrical can, how do diameter and height relate?
For minimum surface area of the cylindrical can, how do diameter and height relate?
Diameter equals height
At slow speeds in travel optimisation, what increases?
At slow speeds in travel optimisation, what increases?
Wages and fixed costs accumulate
In the boat example, what speed minimises the total cost?
In the boat example, what speed minimises the total cost?
10 km/h
What must Step 4's conclusion include?
What must Step 4's conclusion include?
Optimal value, variables, and units