Barrons AP Calculus

(Marvins-Underground-K-12) #1
(d)





(a)
(b)

(c)

Use a   trapezoidal sum with    seven   subintervals    as  indicated   in  the
table to approximate . Using correct units, explain the
meaning of in the context of the problem.

An  object  in  motion  along   the x-axis  has velocity    v(t)    =   (t  +   et)sin  t^2     for 1
≤ t ≤ 3.
At what time, t, is the object moving to the left?
Is the speed of the object increasing or decreasing when t = 2?
Justify your answer.
At t = 1 this object’s position was x = 10. What is the position of the
object at t = 3?

END OF  PART    A,  SECTION II
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