(a)
(b)28.29.30.31.is given in terms of its velocity v by a = −2v.
Find v in terms of t if v = 20 when t = 0.
Find the distance the particle travels while v changes from v = 20 to
v = 5.Let R represent the region bounded above by the parabola y = 27 − x^2 and
below by the x-axis. Isosceles triangle AOB is inscribed in region R with
its vertex at the origin O and its base parallel to the x-axis. Find the
maximum possible area for such a triangle.
Newton’s law of cooling states that the rate at which an object cools is
proportional to the difference in temperature between the object and its
surroundings.
It is 9:00 P.M., time for your milk and cookies. The room temperature is
68° when you pour yourself a glass of 40° milk and start looking for the
cookie jar. By 9:03 the milk has warmed to 43°, and the phone rings. It’s
your friend, with a fascinating calculus problem. Distracted by the
conversation, you forget about the glass of milk. If you dislike milk
warmer than 60°, how long, to the nearest minute, do you have to solve
the calculus problem and still enjoy acceptably cold milk with your
cookies?
Let h be a function that is even and continuous on the closed interval
[−4,4]. The function h and its derivatives have the properties indicated in
the table below. Use this information to sketch a possible graph of h on
[−4,4].BC ONLY QUESTIONS 31–36
(a) Find the Maclaurin series for f(x) = ln(1 + x).