31.
(A)
(B)
(C)
(D)
32.
(A)
(B)
(C)
(D)
33.
(A)
(B)
(C)
(D)
34.
Part B
TIME: 45 MINUTES
Some questions in this part of the examination require the use of a graphing calculator. There are
15 questions in Part B, for which 45 minutes are allowed. Because there is no deduction for wrong
answers, you should answer every question, even if you need to guess.
Directions: Choose the best answer for each question. If the exact numerical value of the correct
answer is not listed as a choice, select the choice that is closest to the exact numerical answer.
Find the area bounded by the spiral r = ln θ on the interval π θ 2 π.
2.405
3.743
4.810
7.487
Write an equation for the line tangent to the curve defined by F(t) = t 2 +
1,2t at the point where y = 4.
y − 4 = (ln 2)(x − 2)
y − 4 = (4 ln 2)(x − 2)
y − 4 = (ln 2)(x − 5)
y − 4 = (4 ln 2)(x − 5)
Bacteria in a culture increase at a rate proportional to the number present.
An initial population of 200 triples in 10 hours. If this pattern of increase
continues unabated, then the approximate number of bacteria after 1 full
day is
1056
1440
2793
3240
When the substitution x = 2t − 1 is used, the definite integral
may be expressed in the form , where {k, a, b} =
