Question

Modified Exponential Growth and Decay Question:
http://prntscr.com/6dbaln

Answer 1

a) plug it in and see it works
b)you are given an initial condition, so what is A?.. then you can see max value
c)what must happen to the exponential as t goes to inf?

Answer 2

so i did part a fine.
Part b i'm kinda not too sure about though. Do we find the second derivative or.. ? :O

Answer 3

did u get what A was in part B

Answer 4

http://prntscr.com/6dbrn6

Answer 5

oohhhhh! xD
Thank you thank you...i have no idea why i found the second derivative LOLL.
^_^

Answer 6

http://prntscr.com/6dbsu1

Answer 7

i drew the (1+t) and the e^(-t/2) graph we have to see how these factors are effecting the 10

Answer 8

how would we do that?
Substitute values of t into Q(t) ?

Answer 9

we gotta find the maximum

Answer 10

so now we use second derivative?
LOL getting so lost.

Answer 11

http://www.wolframalpha.com/input/?i=10*%281%2Bt%29*e^%28-t%2F2%29%2C+t+from+0+to+10

Answer 12

we have to solve for it

Answer 13

trying to think of some other way than taking first derivative and setting it to zero, why isnt that working for u?

Answer 14

so we should find the first derivative?
(sorry if my cluelessness is bugging you xD I'm terrible at this topic)

Answer 15

yeah normally we would just take the first derivative and set it equal to 0 and see what t is