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Math 111 EXAM 3, November 19,2008
Read each problem carefully. Show all your work for each problem! Use only the methods
discussed
in class. No calculators!
l. (L2 points) A ball is thrown vertically upward with an initial velocity of 64 ft/sec from the
the top of a building which is 512 fwt
high (neglect air resistance
and use
the acceleration
due to gravity to be

82 ft/sec2
;.
find
a) an equation
for the height ofthe ball as a function ofthe time,
b) the ma:<imum
height of the ball, and
c) the velocity with which the ball hits tlre ground.
2. (15 points) Find the following limits:
+
a) hr4
#=
b) liry
@

[)(tann)
c)
tim
("or
r)a
sae
cos
frL
'r1aS'
z
t \
' ,
/
iJti*
\
,/
3. (2Opoints) Forthe function
A
:
14
*
8r3 + 18o2

1,0
a)
.find
the intervals over which y is increasing or decreasing,
b) find the intervals over which gr
is concave up or concave down,
c) find the local maximum, local minimum and
inflection points (if any), and
d) sketch a graph of the function labeling the points found in c).
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This note was uploaded on 03/30/2012 for the course MATH 111 taught by Professor ? during the Spring '05 term at NJIT.
 Spring '05
 ?

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