M408K Third Exam Review – Day 1
1)
Find all functions
g
such that
5
3
3
1
3
1
2
x
g
x
x
x
2)
Find the value of
( 1)
f
when
2
''( )
12
4
f
t
t
and
'(1)
5
f
,
(1)
7
f
3)
Find
( )
f t
when
2
1
1
'( )
3sec
sin
4
8
f
t
t
t
and
4
15
3
3
f
4)
Aliens drop off another mutilated cow in Dulce, New Mexico by throwing it out of their
hovering spacecraft.
After inspecting the cow, biologists can tell that the cow hit the ground
with a speed of 120 ft/sec.
Given that acceleration due to gravity is a constant -32 ft/sec
2
,
how high was the spacecraft when the aliens ditched the cow?

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