Question

Help with this related rates problem! :D

Answer 1

how much have you done so far?

Answer 2

i found part a and b. i am unsure how to approach part c.

Answer 3

\[\lim_{t \rightarrow \infty} ae ^{-kt} = 0, \lim_{t \rightarrow \infty} \frac{ 1 }{ 1+0}= 1\]

Answer 4

\[p \prime (t) = (1+ae ^{-kt})^{-1} = -(1+ae ^{-kt)^{-2}} \times -kae ^{-kt} = \frac{ kae ^{-kt} }{(1+ae ^{-kt})^{2}}\]

Answer 5

okay nvm i got part c too haha :p