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Introduction to integration — Question 284

Original QCE Vault practice · 4 marks

Q284 · Practice questionTechnology-freeSimple familiar4 marks

QUESTION 284 (4 marks)

The growth rate of a vine is h′(t)=12t+2h^{\prime}(t)=\dfrac{12}{t+2} cm per week, for t≥0t\geq0. Its initial height is 1515 cm.
a)
Determine its height function h(t)h(t).
[2 marks]
b)
Determine the exact time when its height reaches 2727 cm.
[2 marks]
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