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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 B Answers

Skills

    1. (a) 9
    2. (b) 1.49
    1. (a) \(\frac{dy}{dx}=\frac{1}{2\sqrt{x}}\)
    2. (b) \(y=5x+0.05\)
    1. (a) (0.3, 4)
    2. (b) (2.3, 1)

In context

    1. (a) 14
    2. (b) 2.55
    3. (c) 2980
    1. (a) y = 2x + 0.125
    2. (b) p = 0.175, q = 0.3125
    3. (c) \(h(x)=0.5\sqrt{2(x-0.05)}\), a = 0.08125, b = −0.0375
    4. (d) 0.0924 m²
    5. (e) 0.0342 m²

Stretch

    1. (a) 2180 m³
    2. (b) $56 605
    1. (a) B = (4, 32)
    2. (b) \(g(x)=(x+2)^2\) for −2 ≤ x ≤ 2; g(x) = 8x for 2 < x ≤ 4
    3. (c) 8.67
    4. (d) 69.3

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