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anonymous
 4 years ago
Let f(t)=4 t^2 + 4/t^2. Find the slope of the curve at t = 3.
anonymous
 4 years ago
Let f(t)=4 t^2 + 4/t^2. Find the slope of the curve at t = 3.

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radar
 4 years ago
Best ResponseYou've already chosen the best response.1f(t)'=8t (8)/t^3 for t=3 248/27 640/27=20

radar
 4 years ago
Best ResponseYou've already chosen the best response.1Ooop it is not 20 640/27=23.7037

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah I got df/dt=8t2/t^2 so t=3 => 8*(3)2/(3)^2 242/9 ! but i dont trust my work

radar
 4 years ago
Best ResponseYou've already chosen the best response.1the second term when you differentiated;\[4 \over t ^{2}\]is\[4 t ^{2}\]becomes \[8 t ^{3}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but I would still have to plug in 3 for t

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wait was I on the right track to getting the answer?

radar
 4 years ago
Best ResponseYou've already chosen the best response.1that would be 8/27 for that term and 24 for the first term I see what you mean it can't be negative with 24 being positive!! lol, I better take a nap.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but 640/27=23.7037 is the answer

radar
 4 years ago
Best ResponseYou've already chosen the best response.1Oh yes, thats right as t=3 so it would be 24 and a negative 8/27 that means we have to combine the 24 and the 8/27 giving 648/27  8/27=656/27= 24.29

radar
 4 years ago
Best ResponseYou've already chosen the best response.1Looking at your next to last post. How did you get 640/27? Wouldn't 24 X 27 =648 ??

radar
 4 years ago
Best ResponseYou've already chosen the best response.1It would appear so, if I have kept track of the signs.

radar
 4 years ago
Best ResponseYou've already chosen the best response.1But maybe I messed up let me think about this?

radar
 4 years ago
Best ResponseYou've already chosen the best response.1I think I did mess up on that 2nd term when I plugged in the minus 3\[8\over t ^{3}\]\[8\over (3)^{3}\]\[8\over 27\] or POSITIVE 8/27 lol there it is.

radar
 4 years ago
Best ResponseYou've already chosen the best response.1So we ADD the 8/27 to the negative 648/27 giving 640/27 So sorry paunic88, I did stray off the path of keeping track of signs.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so the final anwser is 640/27 right? (ill compute it later)

radar
 4 years ago
Best ResponseYou've already chosen the best response.1Good luck with your studies,and don't err with signs lol

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok thank you very much for the help
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