Skip to main content

Back to the full dot-point answer

VICMath MethodsQuick questions

Unit 3

Quick questions on Optimisation and rates of change: VCE Math Methods Unit 3

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is endpoint check?
Show answer
If the domain is a closed interval [a,b][a, b], the global max or min might occur at an endpoint, not at a stationary point. Always compare Q(a)Q(a), Q(b)Q(b), and QQ at each interior stationary point.
What is wrong units in the final answer?
Show answer
Markers expect units (cubic centimetres, dollars per week, metres per second). Missing units is a routine 1-mark penalty.
What is q1?
Show answer
A rectangle of perimeter 2424 cm has one side xx. Find xx that maximises the area. [3 marks]
What is q2?
Show answer
A particle's position is s(t)=t3−6t2+9ts(t) = t^3 - 6t^2 + 9t m. Find its velocity at t=1t = 1. [3 marks]
What is q3?
Show answer
A population is P(t)=1000e0.03tP(t) = 1000e^{0.03t}. Find the rate of growth at t=10t = 10. [3 marks]

Have a question we have not covered?

This dot-point answer is short enough that we have not extracted many short questions yet. Read the full dot-point answer or ask Mo, our study assistant, in the chat for follow ups.

All Math MethodsQ&A pages