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Mark11 marks
Derivatives of exponential functions
The population of a protected species is modelled by the function,
N(t) = 190/(2 − e^(−t/7)), t ≥ 0
aShow that the second derivative can be expressed in terms of N(t) and the constants a and b.
bDetermine the coordinates of the inflection point of N(t) in terms of a and b.
cIf the inflection point occurs at t = 2 and N(2) = 50, find the exact values of a and b.
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🎯Methods · Chemistry · Specialist soon
Spaced repetitionVCAA marking engineWeakness detectionAI question generation30-second feedbackStudy Methods 3/4VCE ChemistryActive recall loopsSpaced repetitionVCAA marking engineWeakness detectionAI question generation30-second feedbackStudy Methods 3/4VCE ChemistryActive recall loops
The problem

The way you're studying isn't working.

Most students finish a practice exam with no idea why they lost marks. Then they just do another one.

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How it works

The study loop that actually works.

Science-backed spaced repetition and active recall, automated for VCE.

01

Generate

Get original VCAA-style questions targeting your exact weak topics, hard questions that match your actual gaps.

02

Attempt

Work through it on paper like the real exam. No multiple choice. No shortcuts.

03

Upload & Mark

Photograph your work. AI marks it like a VCAA examiner in 30 seconds. Method marks and answer marks awarded.

04

Lock On

Your weakness dashboard updates automatically. Next session targets what you got wrong again. The loop repeats until it's gone.

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lockonAI saved so much time for logging my errors and tracking my weaknesses. It's like having a personal study coach.

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“

Generating questions based on my weaknesses is such a goated feature. I went from spending hours making practice sheets to 30 seconds.

— VCE Methods Student, Beta User
“

Used to spend 2–4 hours weekly creating worksheets. lockonAI pays itself off more than 10x for me as a tutor.

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