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

Accumulation: rate in, amount out Problem set B Answers

Skills

  1. \(\frac{3 x^{4}}{4} + \frac{2 x^{3}}{3} - \frac{15 x^{2}}{2} - 10 x + c\)

  2. \(\frac{2 s^{5}}{5} + \frac{5 s^{3}}{3} + c\)

  3. \(\frac{x^{4}}{8} - \frac{1}{3 x^{2}} + c\)

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

In context

  1. 43.1 millilitres

    1. (a) k = 0.3
    2. (b) 6.6 grams

  3. 3 minutes

Stretch

    1. (a) 44.8 litres
    2. (b) T = 9.33 minutes

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