The GNP of a country, P billion dollars, is given by the formula (P = 1+ 0.02t + 0.05*sin0.6t ), where t is the time in year after the year 2000. At what rate is the GNP is changing in the year 2005?

Question

zzr0ck3r · Answer

do you now how to take the derivative of this?

anonymous · Answer

yeah.
$$0.02+0.03 \cos0.6t$$

zzr0ck3r · Answer

now if t = 0 is 2000 what is the t value for 2005?

zzr0ck3r · Answer

@curiousshubham ?

anonymous · Answer

hey i think here in first year t=1. Isn't it?

zzr0ck3r · Answer

years after 2000 so 2001 goes with t = 1 2002 goes with t = 2 ....

zzr0ck3r · Answer

so 2005 -> t = 5

put in 5 for t in your equation

anonymous · Answer

result : -0.277.

anonymous · Answer

@zzr0ck3r I have the answer sheet and my answer i.e. -0.27 (falling 27 million dollars per year) is not correct one.

zzr0ck3r · Answer

what answer does it give?

anonymous · Answer

Its: falling at 9.7 million dollars per year.

zzr0ck3r · Answer

http://www.wolframalpha.com/input/?i=0.02%2B0.03cos%280.6%285%29%29

anonymous · Answer

@zzr0ck3r thanks a lot......

zzr0ck3r · Answer

np