Q284 · Practice questionTechnology-freeSimple familiar4 marks
QUESTION 284 (4 marks)
The growth rate of a vine is cm per week, for . Its initial height is cm.
a)[2 marks]
Determine its height function .
b)[2 marks]
Determine the exact time when its height reaches cm.
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
a) . b) weeks.
Worked solution
a) Integrate to get . Since , .
b) gives and .
Exact answers unless rounding is specified; equivalent forms accepted.
a) Integrates the rate.
a) Uses the initial condition.
b) Forms and solves the logarithmic equation.
b) Gives the exact time with units.
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