the position y(t) = 4t − 4. When t = 0, x(0) = −2, y(0) = −4.
(D)
(B) We want the accumulated number of people to be 100:
20 h^2 + 10 h − 100 = 0
10(2h + 5)(h − 2) = 0
This occurs at h = 2 hours after 8 A.M.
(C) Average velocity =
(A) Average volume =
(B) The number of new people who hear the rumor during the second
week is
Be careful with the units! The answer is the total change, of course, in
F(t) from t = 7 to t = 14 days, where F′(t) = t^2 + 10 t.
(B) Total gallons =