Barrons AP Calculus

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





(a)

(b)
(c)
(d)

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.

A   particle    is  moving  in  the plane   with    position    (x(t),  y(t))   at  time    t.  It  is
known that and . The position at time t = 0 is x(0) = 4 and
y(0) = 3.
Find the speed of the particle at time t = 2 , and find the acceleration
vector at time t = 2.
Find the slope of the tangent line to the path of the particle at t = 2.
Find the position of the particle at t = 2.
Find the total distance traveled by the particle on the interval 0 ≤ t ≤
2.

END OF  PART    A,  SECTION II
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