Closest point on a graph Problem set B Answers

1. (a) \(x=-3\) and \(y=4\)
2. (b) q = 5

\(PQ=\sqrt{(x+2)^2+\left(\dfrac{-6}{x+2}\right)^2}\)

1. (a) x = −4.45 and x = 0.449
2. (b) (−4.45, 5.45) and (0.449, 0.551); PQ = 3.46

1. (a) \(d=\sqrt{(x-11)^2+x}\)
2. (b) 3.28 m

1. (a) \(t=-3\) and \(C=12\)
2. (b) The concentration gets close to 12 mg per litre but never reaches or passes it.

1. (a) \(OP=\sqrt{x^2+\dfrac{1024}{x^2}}\)
2. (b) (5.66, 5.66); OP = 8.00

x = ±1.58, so the points are (1.58, 2.50) and (−1.58, 2.50)