Closest point on a graph Problem set A Answers

1. (a) \(x=6\) and \(y=9\)
2. (b) q = −2

\(PQ=\sqrt{(x-3)^2+\left(\dfrac{12}{x-3}\right)^2}\)

1. (a) x = −0.464 and x = 6.46
2. (b) (−0.464, 0.536) and (6.46, 7.46); PQ = 4.90

1. (a) \(d=\sqrt{(x-9)^2+x}\)
2. (b) 2.96 km

1. (a) \(t=-4\) and \(P=600\)
2. (b) The colony gets close to 600 birds but never reaches or passes it.

1. (a) \(OP=\sqrt{x^2+\dfrac{324}{x^2}}\)
2. (b) (4.24, 4.24); OP = 6.00

x = ±2.12, so the points are (2.12, 4.50) and (−2.12, 4.50)