smc-2565-20-Cubic denom

Calculus, SPEC1 2022 VCAA 4

Find . (4 marks)

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Mean mark 55%.

Using partial fractions, evaluate , giving your answer in the form , where is a function of . (4 marks)

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Mean mark 85%.

Express as a sum of partial fractions over . (3 marks)

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Find the real numbers and such that

(2 marks)

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Hence find (2 marks)

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ii.

Find . (3 marks)

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Find , expressing your answer in the form (4 marks)

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♦ Mean mark 48%.
MARKER’S COMMENT: A “large number” of students did not use partial fractions here.

Find . (3 marks)

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