NA P
8km
40
Wha
А. 1с
C.2
The diagram above shows a village 'V', which is 8km on a 27
bearing of 040° from a point o. Calculate how far the village 10
is north of 0. (Hint: Sin 40° = 0.6428 Cos40º = 0.7660 Tan s,
40°=0.8391)
de
A 7.1km B.6.1km C.5.1km D.4.1km

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If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0