Q281 · Practice questionTechnology-freeSimple familiar4 marks
QUESTION 281 (4 marks)
A function satisfies for and .
a)[3 marks]
Determine .
b)[1 mark]
Determine exactly.
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
a) . b) .
Worked solution
a) Integrating gives . The initial condition implies , so .
b) Substitute , noting .
Exact answers unless rounding is specified; equivalent forms accepted.
a) Integrates the polynomial and exponential terms.
a) Integrates -3/x.
a) Uses the condition to find C = -2.
b) Gives the exact value.
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