document.write( "Question 1060670: Worldwide production of solar power, in megawatts, can be modeled by
\n" ); document.write( " s(t)=40e^((0.01t^2)-1) + 2t
\n" ); document.write( "where t in years since 2000. Find S (10) and S ́ (10). Give units and interpret your answer
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #675602 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Worldwide production of solar power, in megawatts, can be modeled by
\n" ); document.write( " s(t)=40e^((0.01t^2)-1) + 2t
\n" ); document.write( "where t in years since 2000.
\n" ); document.write( "---
\n" ); document.write( "Find S(10)
\n" ); document.write( "s(10) = 40e^((0.01*10^2)-1) + 2*10
\n" ); document.write( "= 40*e^0 + 20
\n" ); document.write( "= 60 MW
\n" ); document.write( "------------\r
\n" ); document.write( "\n" ); document.write( "and S'(10).
\n" ); document.write( "s'(t) = 40e^((0.01t^2)-1)*0.02t + 2
\n" ); document.write( "s'(10) = 40e^((0.01*10^2)-1)*0.2 + 2
\n" ); document.write( "= 8e^0 + 2
\n" ); document.write( "= 10 MW/year
\n" ); document.write( "-----
\n" ); document.write( "Give units and interpret your answer
\n" ); document.write( "60 MW is the production in year 10
\n" ); document.write( "10 MW/year is the rate of increase in year 10
\n" ); document.write( "
\n" );