M408L Final Exam Review – Day 1
1)
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?
2)
A)
Write a Riemann sum expression (using
n
subintervals) for the area of the
region under the graph of
4
( )
f x
x
on the interval
[0,3]
B)
Determine the definite integral
I
to which the Riemann sum
3
1
4
4
2
n
i
i
n
n
corresponds.
i)
2
3
0
(2
)
I
x
dx
ii)
6
3
2
I
x dx
iii)
3
4
0
2
2
x
I
dx
iv)
5
3
1
(2
)
I
x
dx

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