anonymous
  • anonymous
A particle moves along the x-axis 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?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
experimentX
  • experimentX
find maxima
anonymous
  • anonymous
Maximum at first derivative or second?
experimentX
  • experimentX
o.. sorry, take derivative ... the resulting function will give you speed.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

experimentX
  • experimentX
and the usual process of maxima
anonymous
  • anonymous
|dw:1334044638555:dw| The derivative graph looks something like this... where is the maximum?
experimentX
  • experimentX
do we have any interval of time given??
anonymous
  • anonymous
No, t>0
experimentX
  • experimentX
it seems that we have local maximum but's that negative ... I guess at infinity then.
anonymous
  • anonymous
Lol, but it's multiple choice.. A. t= 1 B. t= 2 C. t= 3 D. t= 4 E. t=5
experimentX
  • experimentX
the distance is actually decreasing.
experimentX
  • experimentX
http://www.wolframalpha.com/input/?i=x%28t%29+%3D+t%5E4+-+10t%5E3+%2B+29t%5E2+-+36t+%2B2
experimentX
  • experimentX
http://www.wolframalpha.com/input/?i=maxima+f%28t%29+%3D+4t%5E3+-+30t%5E2+%2B+58t+-+36
anonymous
  • anonymous
What does that mean for speed? Sorry, I do not understand..
experimentX
  • experimentX
http://www.wolframalpha.com/input/?i=maxima+d%28t%5E4+-+10t%5E3+%2B+29t%5E2+-+36t+%2B2%29%2Fdt
experimentX
  • experimentX
speed is rate of change of distance ... should always be positive.
anonymous
  • anonymous
Oh, ok thanks.

Looking for something else?

Not the answer you are looking for? Search for more explanations.