Classifying stationary points and inflection Problem set B Answers

1. (a) x < 4
2. (b) x > −5

(−5, 101) local maximum; (1, −7) local minimum

(−4, −263) local minimum; (0, −7) local maximum; (4, −263) local minimum

(1.56, 7.25) local maximum

(1.61, 3.05) local maximum

(1.5, 3.57) local minimum

k = 4

a = 2, b = −7

1. (a) \(y''=4 \left(x - 1\right) e^{- 2 x}\)
2. (b) −4

x = 6, maximum Y = 50 tonnes

1. (a) \(R''=36 - 6 t\)
2. (b) t = 6
3. (c) 113 hundred students per day

A curve above the x-axis that falls and flattens, like y = 1/x.

(0, 0) stationary point of inflection; (2, −16) local minimum