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Denebel
 3 years ago
A particle moves along the xaxis so that its position at any time t> 0 is given by x(t) = t^4  10t^3 + 29t^2  36t +2. For which value of t is the speed the greatest?
Denebel
 3 years ago
A particle moves along the xaxis so that its position at any time t> 0 is given by x(t) = t^4  10t^3 + 29t^2  36t +2. For which value of t is the speed the greatest?

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Denebel
 3 years ago
Best ResponseYou've already chosen the best response.1Maximum at first derivative or second?

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1o.. sorry, take derivative ... the resulting function will give you speed.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1and the usual process of maxima

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1334044638555:dw The derivative graph looks something like this... where is the maximum?

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1do we have any interval of time given??

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1it seems that we have local maximum but's that negative ... I guess at infinity then.

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.1Lol, but it's multiple choice.. A. t= 1 B. t= 2 C. t= 3 D. t= 4 E. t=5

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1the distance is actually decreasing.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1http://www.wolframalpha.com/input/?i=x%28t%29+%3D+t%5E4++10t%5E3+%2B+29t%5E2++36t+%2B2

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1http://www.wolframalpha.com/input/?i=maxima+f%28t%29+%3D+4t%5E3++30t%5E2+%2B+58t++36

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.1What does that mean for speed? Sorry, I do not understand..

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1http://www.wolframalpha.com/input/?i=maxima+d%28t%5E4++10t%5E3+%2B+29t%5E2++36t+%2B2%29%2Fdt

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1speed is rate of change of distance ... should always be positive.
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