← 2023 HSC Extension 1 paper Question 12(e)

Variation 3 · answer guide

Volume of revolution — Log simplification

Question

Simplify .

This practice question was inspired by Question 12(e) in the 2023 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

Step by step

  1. State the final answer clearly in the form the question requested..

Common mistake: changing so many features that the new example no longer tests the same mathematical idea.

Verification: Log difference law.

Any mark labels are a TestMum study aid, not an official NESA marking allocation.

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