QCEVault

Further applications of differentiation — Question 217

Original QCE Vault practice · 6 marks

Q217 · Practice questionTechnology-freeComplex unfamiliar6 marks

QUESTION 217 (6 marks)

A rectangular poster has area 600 cm2600\,\mathrm{cm}^{2}. It has 2 cm2\,\mathrm{cm} margins on the left and right and 3 cm3\,\mathrm{cm} margins at the top and bottom. Let the poster width be wcmw cm.
Original diagram for Mathematical Methods Paper 1 question 17
a)
Write the printed area A(w)A(w) and state the practical domain.
[2 marks]
b)
Find the value of ww that maximises the printed area.
[3 marks]
c)
Find the corresponding poster height.
[1 mark]
Question linkSyllabus coverage

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