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July 5, 2015

Homework Help: calculus

Posted by Bob on Thursday, September 30, 2010 at 9:37pm.

017 10.0 points
Lance Armstrong is moving with speed
35 feet/sec and acceleration 4 feet/sec2 when he crosses the starting line of a stage in the Tour de France. Use a degree two Taylor polynomial T2(t) to estimate how far he travels in
the next second.
1. distance = 38 feet
2. distance = 37 feet
3. distance = 39 feet
4. distance = 41 feet
5. distance = 40 feet

Shouldn't it be 41?
My work:
f(t)=35t+2t^2
f'(t)=35+4t
f''(t)=4

39(x-1)/1! + 4(x-1)^2/2!
39+2=41 (41 is incorrect)

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