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IB Mathematics: Applications and Interpretation SL · 12.5: Functions · 12.5.4
Closest point on a graph Problem set B Answers
Skills
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- (a) \(x=-3\) and \(y=4\)
- (b) q = 5
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- (a) x = −4.45 and x = 0.449
- (b) (−4.45, 5.45) and (0.449, 0.551); PQ = 3.46
In context
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- (a) \(d=\sqrt{(x-11)^2+x}\)
- (b) 3.28 m
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- (a) \(t=-3\) and \(C=12\)
- (b) The concentration gets close to 12 mg per litre but never reaches or passes it.
Stretch
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x = ±1.58, so the points are (1.58, 2.50) and (−1.58, 2.50)
jmaths.xyz · AI SL · 12.5.4 Closest point on a graph