Question 1060670
Worldwide production of solar power, in megawatts, can be modeled by
 s(t)=40e^((0.01t^2)-1) + 2t
where t in years since 2000.
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Find S(10)
s(10) = 40e^((0.01*10^2)-1) + 2*10
= 40*e^0 + 20
= 60 MW
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and S'(10).
s'(t) = 40e^((0.01t^2)-1)*0.02t + 2
s'(10) = 40e^((0.01*10^2)-1)*0.2 + 2
= 8e^0 + 2
= 10 MW/year
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Give units and interpret your answer
60 MW is the production in year 10
10 MW/year is the rate of increase in year 10