The arc length of the shaded part of the circle is 2 pi inches. A circle. The shaded sector has an angle measure of 45 degrees. Which equation can be used to find the circumference of the entire circle, C? StartFraction 2 pi over C EndFraction = StartFraction 45 degrees over 360 degrees EndFraction StartFraction C over 2 pi EndFraction = StartFraction 45 degrees over 360 degrees EndFraction StartFraction 2 pi over C EndFraction = StartFraction 315 degrees over 360 degrees EndFraction StartFraction C over 2 pi EndFraction = StartFraction 315 degrees over 360 degrees EndFraction

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