017 10.0 points

Question

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)

Answer 1

It's a Maclurian Series (a=0) so your work is just 35/1!+4/2!= 37.