APPM 1350 Exam #3 Summer 2008
Be sure to include your name and a grading table on the front of your blue book. You must
work all of the problems on this exam. Show ALL of your work and BOX IN YOUR
FINAL ANSWERS. A correct answer with no relevant work may receive no credit, a
wrong answer with no work will receive no credit, and an incorrect answer accompanied
by some correct work may receive partial credit. Text books, class notes, crib sheets, cell
phones, calculators, or electronic devices of any kind are NOT permitted. Please start each
problem on a new page. Good luck!
1. (30 points) Integrate
(a) Zsec2(t)−
1
5
√t3+π dt (b) Z10t√2t+ 5 dt (c) Z3
−3
r√r2+ 1 dr
(e) d
dx Zx2
5
ln(z)
√z4+ 9 dz (f) Z−1
−2
3x4
−4x2
x2dx
2. (15 points) You are at the bottom of a hole and throw a shovel full of dirt up with an
initial velocity of 32 ft
sec . The dirt must rise 17 feet above the release point to clear the
edge of the hole. Does the pile of dirt have enough of an initial velocity to escape from
the hole? If so, by how much? If not, how short was it? Recall that g= 32 f t
sec2.
3. (15 points) The outside temperature in degrees Fahrenheit at CU on February 1, 2007
can be approximated by the function
T(t) = −10 sin πt
12+15 Where Tis the temperature and tis the time from midnight
(t= 0 corresponds to midnight, t= 13 would correspond to 1pm, etc). What was the
average outside temperature at CU on February 1 (from t= 0 to t= 24)? Round your
answer to the nearest degree if applicable.
