First, the income in 2010 is not P(10), it is P(3). P(t) is only defined for 2<t<6, where t is the years since 2007.
P(3) = 6(3)-24 = -6, so P(t) is decreasing there.
Note that P'(t)=0 when t=4.
That means it is decreasing more slowly until t=4, then starts to increase after that. At t=3, P(t) is decreasing more and more slowly. (D)
I mean, forget all the calculus stuff. P(t) is a parabola, which gets steeper and steeper. Don't forget your algebra I while doing your calculus. It can be a good sanity check!
Please check my answers I think they are right if not please tell me where I went wrong. Thanks
The annual net income of general electric for the period 2007-2011 could be approximated by
P(t) = 3t^2- 24t +59 billion dollars (2<t<6) where t is time in years.
a) compute p'(t) how fast is GE's annual net income changing in 2010?
I got P'(t) = 6t-24
P'(10) = 6(10) - 24 = 36
b) according to the model GE's annual net income is
(A) increased at a faster and faster rate
(B) increased at a slower and slower rate
(C) decreased at a faster and faster rate
(D) decreased at a slower and slower rate
I got B
2 answers
What is a project proposal? A project proposal is a plan of action. It is intended for donor agent /implementary agent. note:a project that is implemented or been carried out is indeed a project not a proposal anymore. a proposal is a project guide.
1 answer