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1. writing an equation for an exponential function by 2. a piece of paper that is 0.6 millimeter thick is folded. write an equation for the thickness t of the paper in millimeters as a function of the number n of folds. the equation is t(n)= 3. enter an equation for the function that includes the points. (-2, 2/5) and (-1,2)
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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) β p(x) x a'(x) = xp'(x) β p(x) x2 a'(x) = p'(x) β p(x) x a'(x) = xp'(x) β p'(x) x2 a'(x) = p'(x) β xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 β 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) β xp(x) > 0 p'(x) β xp(x) < 0 xp'(x) β p'(x) > 0 xp'(x) β p(x) < 0 xp'(x) β p(x) > 0
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