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IB Mathematics: Applications and Interpretation HL · AHL 3: Further Integration · AHL 3.13

Exam practice: transformations, areas and volumes Problem set A Answers

Skills

    1. (a) 15
    2. (b) 1.71
    1. (a) \(\frac{dy}{dx}=\frac{1}{2\sqrt{x}}\)
    2. (b) \(y=2.5x+0.1\)
    1. (a) (2.7, 0.9)
    2. (b) (1.7, 2.9)

In context

    1. (a) 22
    2. (b) 2.92
    3. (c) 10600
    1. (a) y = 0.625x + 0.4
    2. (b) p = 0.9, q = 0.92
    3. (c) \(h(x)=0.8\sqrt{2(x-0.3)}\), a = 0.62, b = 0.02
    4. (d) 0.887 m²
    5. (e) 0.222 m²

Stretch

    1. (a) 8760 m³
    2. (b) $297 940
    1. (a) B = (7, 15)
    2. (b) \(g(x)=\frac{3}{4}(x-1)^2\) for 1 ≤ x ≤ 3; g(x) = 3x−6 for 3 < x ≤ 7
    3. (c) 6.33
    4. (d) 38

jmaths.xyz · AI HL · AHL 3.13 Exam practice: transformations, areas and volumes