The total spent on Research and Development (R&D) by the federal government in the USA during 2002-2012 can be approximated by:

S t( ) = 3.1ln[1210(t + 10) $billion; where t is the year since 2010.

a) Determine, to the nearest billion, the total spent in the year 2005 (t = −5 )

b) Determine at what rate the total spent on R&D was varying in the year 2005

1 answer

what's the trouble? Just plug and chug.
(a) 3.1ln[1210(-5 + 10)] = 26.99
(b) dS/dt = 3.1/(t+10)
so at t = -5, that is just 0.62
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