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IB Mathematics: Applications and Interpretation HL · 12.9: Differentiation · 12.9.8

Tangents and normals by hand and with technology Problem set A Answers

Skills

    1. (a) \(7x-y=17\)
    2. (b) \(10x-y=-4\)
    3. (c) \(x+2y=10\)
    1. (a) \(y=-\frac{1}{5}x+\frac{37}{5}\)
    2. (b) \(y=-\frac{1}{5}x+\frac{11}{5}\)
    1. (a) \(y=-\frac{1}{2}x+\frac{1}{2}\)
    2. (b) \(y=-\frac{3}{2}x+\frac{9}{2}\)
    1. (a) \(x+8y-10=0\)
    2. (b) \(x-4y+23=0\)
    1. (a) \(y=0.300x+2.60\)
    2. (b) \(y=-1.47x+2.94\)
    3. (c) \(y=-0.160x+0.520\)

In context

    1. (a) \(3x+y=10\)
    2. (b) \(y=\frac{1}{3}x+\frac{10}{3}\)
    1. (a) \(h=1.80t+7.28\)
    2. (b) 16.3 cm

Stretch

    1. (a) \(x+4y-17=0\)
    2. (b) x = 17
    1. (a) \(y=4.20x-3.00\)
    2. (b) (0, −3.00)

jmaths.xyz · AI HL · 12.9.8 Equation of a tangent and of a normal