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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 B Answers

Skills

    1. (a) \(14x-y=16\)
    2. (b) \(21x-y=-20\)
    3. (c) \(2x-3y=6\)
    1. (a) \(y=\frac{1}{4}x+\frac{11}{4}\)
    2. (b) \(y=-\frac{1}{5}x+\frac{16}{5}\)
    1. (a) \(y=-\frac{1}{2}x-\frac{5}{2}\)
    2. (b) \(y=x+3\)
    1. (a) \(x+7y-2=0\)
    2. (b) \(x+2y-18=0\)
    1. (a) \(y=0.200x+2.60\)
    2. (b) \(y=-0.812x+2.44\)
    3. (c) \(y=-0.0800x+0.280\)

In context

    1. (a) \(3x+y=17\)
    2. (b) \(y=\frac{1}{3}x+7\)
    1. (a) \(C=1.20t+6.06\)
    2. (b) 10.9 mg/L

Stretch

    1. (a) \(x-2y+9=0\)
    2. (b) x = −9
    1. (a) \(y=5.08x-5.00\)
    2. (b) (0, −5.00)

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