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IB Mathematics: Applications and Interpretation HL · AHL 2: Further Derivatives · AHL 2.5

Related rates of change Problem set B Answers

Skills

  1. dy/dt = −6

  2. dy/dt = −1.35

    1. (a) da/dt = −0.16
    2. (b) da/dt = −4/9 = −0.444
  3. dy/dt = −0.5

  4. dB/dt = 21

  5. dC/dt = 1

In context

  1. 1 m² per day; increasing

  2. −4.82 units per second

  3. −5.00 units per second

Stretch

  1. dy/dt = −4

  2. dy/dt = 1.125 cm s⁻¹

jmaths.xyz · AI HL · AHL 2.5 Related rates with the chain rule