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VICMath MethodsQuick questions

Unit 2: Functions, calculus and probability

Quick questions on Applications of differentiation (VCE Maths Methods Unit 2)

4short 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 domain restriction in optimisation?
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A rectangle cannot have negative or zero side lengths. Enforce the practical domain.
What is q1?
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Find and classify the stationary points of f(x)=x3−3x2f(x) = x^3 - 3x^2. [3 marks]
What is q2?
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Find the equation of the tangent to y=x2−4xy = x^2 - 4x at x=3x = 3. [3 marks]
What is q3?
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A rectangle has perimeter 4040 cm. (a) Express its area AA in terms of one side xx. (b) Find the dimensions giving maximum area. [2+2 marks]

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