Barrons AP Calculus - David Bock

(dmanu) #1
(C)

(D)

(E)

BC ONLY


  1. The table shows selected values of the derivative for a differentiable function f.


x 2 3 4 5 6 7
f ′(x) 2.0 2.5 1.0 −0.5 −1.5 0.5
Given that f (3) = 100, use Euler’s method with a step size of 2 to estimate f (7).
(A) 101.5
(B) 102.5
(C) 103
(D) 104
(E) 104.5


  1. A cup of coffee at temperature 180°F is placed on a table in a room at 68°F. The d.e. for its
    temperature at time t is y(0) = 180. After 10 min the temperature (in °F) of the
    coffee is
    (A) 96
    (B) 100
    (C) 105
    (D) 110
    (E) 115

  2. Approximately how long does it take the temperature of the coffee in Question 45 to drop to
    75°F?
    (A) 10 min

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