(C)
(D)
(E)
BC ONLY
- 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
- 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
- Approximately how long does it take the temperature of the coffee in Question 45 to drop to
75°F?
(A) 10 min