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IB Mathematics: Applications and Interpretation HL · 13.5: Integration · 13.5.7

The trapezium rule Problem set B Answers

Skills

  1. 0.406

  2. 0.921

  3. 17.5

  4. 5.07

  5. 4.87

  6. 282

In context

  1. 160 litres

  2. 5.89 litres

Stretch

    1. (a) 1.27
    2. (b) 1.26
    3. (c) 1.25; the 10-strip estimate is closer, because narrower strips fit the curve better
    1. (a) 41.3
    2. (b) 39.0
    3. (c) 38.2; the 3-strip estimate is 3.13 too large and the 6-strip estimate is 0.792 too large

jmaths.xyz · AI HL · 13.5.7 The trapezium rule