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AS91578 Differentiation

Related rates of change

AAchieved

  1. 1A circular oil slick spreads so that its radius increases at 0.5 m/s. Find the rate at which the area is increasing when the radius is 20 m.Free
  2. 2The radius of a spherical balloon increases at 0.1 cm/s as it is inflated. Its surface area is S = 4πr². Find the rate of increase of the surface area when the radius is 10 cm.Free
  3. 3The area of a circular ripple on a pond increases at a constant 30 cm²/s. Find the rate at which the radius is increasing when the radius is 5 cm.Free

MMerit

  1. 4A Merit question, in the pass🔒 Pass
  2. 5A Merit question, in the pass🔒 Pass
  3. 6A Merit question, in the pass🔒 Pass
  4. 7A Merit question, in the pass🔒 Pass
  5. 8A Merit question, in the pass🔒 Pass
  6. 9A Merit question, in the pass🔒 Pass
  7. 10A Merit question, in the pass🔒 Pass

EExcellence

  1. 11A Excellence question, in the pass🔒 Pass
  2. 12A Excellence question, in the pass🔒 Pass
  3. 13A Excellence question, in the pass🔒 Pass