Variation 3 · answer guide
Differential equation — Compare steepness
Question
Show that at the slope is three times as steep as at for this DE.
This practice question was inspired by Question 12(a) in the 2022 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
- State the final answer clearly in the form the question requested.Slopes and ; ratio .
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Matches the original marked points.
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
← Back to 2022 HSC Extension 1 paper Question 12(a)