In a new suburb, it is estimated that the number of registered voters will be modeled by the function N(t) = 11 + 9 t^2 - t^3, where t is time in years and N is in thousands.

i found n(6) = 119

The instantaneous rate of change of N at t = 6

Question

In a new suburb, it is estimated that the number of registered voters will be modeled by the function N(t) = 11 + 9 t^2 - t^3, where t is time in years and N is in thousands.

i found n(6) = 119

The instantaneous rate of change of N at t = 6

anonymous · Answer

n(6) = 11 + 9*6^2 - 6^3
       = 11 + 324 - 216
       = 335 - 216
       = 119

anonymous · Answer

i know i found that already

anonymous · Answer

wait is that the answer again?

anonymous · Answer

oh - im sorry - i thoght you wanted to confirm that

anonymous · Answer

u want instantaneous rate of change

anonymous · Answer

no i need to find The instantaneous rate of change of N at t = 6

anonymous · Answer

ok 
differentiate
dN/dt = 18t - 3t^2
at t = 6 
this is    18*6 - 3*36
    =   108 - 108 = 0

anonymous · Answer

yes thank very much!

anonymous · Answer

thanx for the help

anonymous · Answer

yw