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IB Mathematics: Applications and Interpretation HL · 13.5: Integration · 13.5.5

Accumulation: rate in, amount out Problem set A Answers

Skills

  1. \(x^{4} + x^{3} - 4 x^{2} - 6 x + c\)

  2. \(\frac{3 t^{4}}{4} - 2 t^{2} + c\)

  3. \(\frac{x^{3}}{6} + \frac{3}{4 x} + c\)

  4. \(\frac{x^{3}}{3} + \frac{6}{x} + c\)

In context

  1. 24.6 litres

    1. (a) k = 0.4
    2. (b) 7 grams

  3. 4 minutes

Stretch

    1. (a) 63 litres
    2. (b) T = 14 minutes

jmaths.xyz · AI HL · 13.5.5 Accumulation: rate in, amount out