In Problems 11 − 22 , use U = u n i v e r s a l s e t = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } , A = { 1 , 3 , 4 , 5 , 9 } , B = { 2 , 4 , 6 , 7 , 8 } , and C = { 1 , 3 , 4 , 6 } to find each set. A ¯
In Problems 11 − 22 , use U = u n i v e r s a l s e t = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } , A = { 1 , 3 , 4 , 5 , 9 } , B = { 2 , 4 , 6 , 7 , 8 } , and C = { 1 , 3 , 4 , 6 } to find each set. A ¯
Solution Summary: The author explains that the complement of A is the set consisting of all the elements in the universal set that are not in
U
=
u
n
i
v
e
r
s
a
l
s
e
t
=
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
}
,
A
=
{
1
,
3
,
4
,
5
,
9
}
,
B
=
{
2
,
4
,
6
,
7
,
8
}
,
and
C
=
{
1
,
3
,
4
,
6
}
to find each set.
Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace Transformation and explain step-by-step.
12. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.508.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x + 16
dx
X
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13. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.512.XP.
ASK YOUR TEA
Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
dx
8)(2x + 1)
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14. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.518.XP.
Find the area of the region under the given curve from 1 to 5.
y =
x² +7
6x - x²
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MY NOTES
SESSCALCET2 6.3.012.
6. [-/1 Points]
Evaluate the integral.
x-4
dx
x²
- 5x + 6
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7. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.3.019.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
x²+1
(x-6)(x-5)²
dx
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8. [-/1 Points] DETAILS
MY NOTES
SESSCALCET2 6.3.021.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
✓
x²
4
+4
dx
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