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📝 Rates of Change in Applications in Derivation

📖 From Calculus • 3. The Derivation • 26 questions available

Practice MCQs for Rates of Change in Applications in Derivation. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-13

8
Easy Questions
12
Medium Questions
6
Hard Questions

📝 Sample Questions

Q1. If temperature \(T\) (in °F) changes with time \(t\) (in hours) as \(T = 70 + 3t\), what is the rate of change?

🔹 A. \(3\) °F/h
🔹 B. \(70\) °F/h
🔹 C. \(-3\) °F/h
🔹 D. \(73\) °F/h

💡 Difficulty: easy | ✅ Correct: A

Q2. The temperature of a rod is \(T = 25 - 0.5x\) °C where \(x\) is in cm. The rate of change of temperature is:

🔹 A. \(-0.5\) °C/cm
🔹 B. \(0.5\) °C/cm
🔹 C. \(25\) °C
🔹 D. \(-25\) °C

💡 Difficulty: medium | ✅ Correct: A

Q3. A cube's side length \(s\) increases at \(2\) cm/s. Find the rate of change of volume \(V\) when \(s=3\) cm.

🔹 A. \(54\) cm³/s
🔹 B. \(27\) cm³/s
🔹 C. \(18\) cm³/s
🔹 D. \(36\) cm³/s

💡 Difficulty: hard | ✅ Correct: A

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🔗 Related Topics

📝 Approximating Roots📝 Areas and Limits📝 Continuity in Applications📝 Continuity of Compositions📝 Continuity of Inverse Functions
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