Calculus AB Assignment
More Practice With Areas
1
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1.
Consider the region bounded by the curves y = |
x
2
+ x - 12|
, x = -
5
, and x = 5 and the
x-
axis.
A.
Set up a sum of integrals, not containing an absolute value symbol, that can be used to
find the area of this region.
B.
Find the area of the region by using your answer from part A. Don’t approximate with
your calculator.
2.
Two cars, one driven by Sappho and the other driven by Homer, start side by side at
the beginning of a race. Velocities of the two cars during the race are given in the tables
below where velocities v are in miles per hour and times t are in seconds.
Sappho’s car
Homer’s Car
time t
velocity v
S
time t
velocity v
H
0
0
0
0
1
20
1
18
2
35
2
31
3
48
3
43
4
62
4
58
5
75
5
68
6
85
6
79
7
93
7
86
8
99
8
93
9
106
9
95
10
111
10
96
