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Further applications of differentiation — Question 358

Original QCE Vault practice · 5 marks

Q358 · Practice questionTechnology-activeComplex familiar5 marks

QUESTION 358 (5 marks)

A water level varies sinusoidally. The minimum level is 44 m, the maximum is 1212 m and the period is 1010 hours. A minimum occurs at t=0t=0.
a)
Develop a formula for the level D(t)D(t).
[2 marks]
b)
During 0≤t≤100\leq t\leq10, for how long is the level rising at more than 1.81.8 m/hour? Give your answer to two decimal places.
[3 marks]
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