📝 The Rectangle Method And The Antiderivative Method Compared

Q1. A dragster travels with a velocity that changes linearly over time. Which method would give the exact distance traveled over the interval if the velocity function is linear?

💡 Difficulty: easy | ✅ Correct: B

Q2. A dragster's velocity is given by \(v(t) = 3t^2\) meters per second. Using the rectangle method with two equal subintervals and left endpoints on \([0,2]\), what is the estimated distance?

💡 Difficulty: medium | ✅ Correct: D

Q3. For an increasing continuous function \(f\) on \([a,b]\), which statement about the left‑endpoint rectangle method is always true?

💡 Difficulty: hard | ✅ Correct: C