smc-1036-40-Logs and Exponentials

Calculus, EXT1 C2 2024 HSC 13d

Using the substitution , and considering , find . (3 marks)

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Mean mark 55%.

Calculus, EXT1 C2 2015 HSC 11e

Use the substitution to evaluate . (3 marks)

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Calculus, EXT1 C2 2008 HSC 2a

Use the substitution to evaluate . (3 marks)

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WARNING: Most errors were made in the last stage of substitution in this question. Be careful!

Calculus, EXT1 C2 2009 HSC 1f

Using the substitution , or otherwise, evaluate . (3 marks)

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Calculus, EXT1 C2 2013 HSC 11f

Use the substitution to evaluate . (3 marks)

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MARKER’S COMMENT: Many students did not calculate in radians and incorrectly got an answer of 8.2. BE CAREFUL!
Note that converting your answer to 0.14 is also correct but not required.

Calculus, EXT1 C2 2011 HSC 1d

Using the substitution , evaluate . (3 marks)

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