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Further integration — Question 233

Original QCE Vault practice · 5 marks

Q233 · Practice questionTechnology-activeComplex unfamiliar5 marks

QUESTION 233 (5 marks)

The rate of water flow into a tank is

R(t)=5+2\sin (\frac{\pi t}{6}) L min^{-1}

for

0\le t\le 12

.

Original diagram for Mathematical Methods Paper 2 question 14

a)

Find the total volume entering during the

12

minutes.

[2 marks]

b)

Find the average inflow rate.

[1 mark]

c)

Find the maximum and minimum rates and the times they first occur.

[2 marks]

Question linkSyllabus coverage

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