Q291 · Practice questionTechnology-freeSimple familiar5 marks
QUESTION 291 (5 marks)
The curves and enclose a finite region.
a)[2 marks]
Determine their points of intersection.
b)[3 marks]
Determine the exact area of the enclosed region.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
a) and . b) square units.
Worked solution
a) Solve , so . Substitute to find both points.
b) The line lies above the parabola for . Thus .
Exact answers unless rounding is specified; equivalent forms accepted.
a) Solves the intersection equation.
a) Gives both coordinate pairs.
b) Forms the correct integral.
b) Finds an antiderivative.
b) Evaluates the exact area.
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