Page 149 - Calculus Workbook For Dummies

133
Chapter 8: Using Differentiation to Solve Practical Problems

3
4
t
10. s t = t 3 - t 5 + - 6 11. s t = 1 + 8 3 - 3
^ h
^ h
t t
Solve It Solve It

12. For problems 12, 13, and 14, a three-toed
sloth is hanging onto a tree branch and
moving right and left along the branch.
(The tree trunk is at zero and the positive
direction goes out from the trunk.) s(t)
gives his position (in feet) as a function of
time (seconds). Between t = 0 and t = 5, for
each problem, find a) the intervals when
he’s moving away from the trunk, the inter-
vals when he’s moving toward the trunk,
and when and where he turns around; b)
his total distance moved and his average
speed; and c) his total displacement and
his average velocity.

2
3
s t = t 2 - t + t 8 - 5
^ h
Solve It