Thread: estimation

For time t, in hours, 0 t 1, a bug is crawling at a velocity, v, in meters/hour given by the following equation.

.

Use t = 0.2 to estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.


can i get some help on how to go about this problem...i know how to do it given the different values for time and velocity...but this one stumps me...any help??

mer1988

Your v(t) is strictly decreasing.

Calculate:

v(0.0)
v(0.2)
v(0.4)
v(0.6)
v(0.8)
v(1.0)

Use the first 5 for the over-estimate.
Use the last 5 for the under-estimzate.