Part IV
Answer all questions in this part. Each correct answer will receive 6 credits. Clearly indicate the
necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all
questions in this part, a correct numerical answer with no work shown will receive only 1 credit. [
]
12
33 The tide at a boat dock can be modeled by the equation
π
( )
y = –2 cos
+ 8, where t is the number of hours past noon and y
t
6
is the height of the tide, in feet. For how many hours between
t = 0 and t = 12 is the tide at least 7 feet? [The use of the grid on the
next page is optional.]
[18]
Math. B – Aug. ’04