An economy’s consumer price index (CPI) is described by the function P(t)=-0.2t^3+3t^2+100 ,(0 ≤ t ≤ 10)where t=0 corresponds to the year 1998. Find the point of inflection of the function P. Use differentiation. a.) point (5,15) is an inflection point of P b.) point (5,150) is an inflection point of P c.) point (15,5) is an inflection point of P d.) point (150,5) is an inflection point of P

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Chapter2: Second-order Linear Odes
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An economy’s consumer price index (CPI) is described by the function P(t)=-0.2t^3+3t^2+100 ,(0 ≤ t ≤ 10)where t=0 corresponds to the year 1998. Find the point of inflection of the function P. Use differentiation.

a.) point (5,15) is an inflection point of P
b.) point (5,150) is an inflection point of P
c.) point (15,5) is an inflection point of P
d.) point (150,5) is an inflection point of P
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