Question
In: Math
1 &
1 -3 11
(a) Suppose ∫ f(x)dx= 7 and ∫ f(x)dx= −5. Evaluate ∫ 3f(x)dx.
-3 11 1
e^x
(b) Find d/dx ∫ (t^3+ 4)dt
0
2
(c) Evaluate ∫ 3x/(3x+3)dx using u-substitution.
0
Solutions
Expert Solution
In (a), the limit is confusing the question is not written well.
Please write that question clearly, if you have any doubt regarding last two parts then comment please.
Thank you....
milcah answered 2 years agoRelated Solutions
A B C D E RESPONSE -1 -1 -1 -1 1 38.9 1 -1 -1 -1...
A
B
C
D
E
RESPONSE
-1
-1
-1
-1
1
38.9
1
-1
-1
-1
-1
35.3
-1
1
-1
-1
-1
36.7
1
1
-1
-1
1
45.5
-1
-1
1
-1
-1
35.3
1
-1
1
-1
1
37.8
-1
1
1
-1
1
44.3
1
1
1
-1
-1
34.8
-1
-1
-1
1
-1
34.4
1
-1
-1
1
1
38.4
-1
1
-1
1
1
43.5
1
1
-1
1
-1
35.6
-1
-1...
2.69 a, c 2 1 1 1 1 3 2 6 1 1 2 1 1...
2.69 a, c
2
1
1
1
1
3
2
6
1
1
2
1
1
3
2
1
1
2
1
3
4
3
2
5
4
2
2
2
1
1
Refer to the data set above, with 30 values.
Find the range, variance, and standard deviation of this data
set.
Eliminate the smallest and largest value from the data set and
repeat part a. What effect does dropping both of these measurements
have on the measures of...
Pascal’s triangle looks as follows: 1 1 1 1 2 1 1 3 3 1 1...
Pascal’s triangle looks as follows:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
...
The first entry in a row is 1 and the last entry is 1 (except
for the first row which contains only 1), and every other entry in
Pascal’s triangle is equal to the sum of the following two entries:
the entry that is in the previous row and the same column, and the
entry that is in the...
2 -1 -1 1 0 1 -1 1 2 2 3 2 5 1 1 5...
2
-1
-1
1
0
1
-1
1
2
2
3
2
5
1
1
5
1
1
4
0
resolve the matrix gauss Elimination
TVHOURS OBEDIENCE ATTITUDE 3 1 2 1 1 1 4 1 1 4 1 1 7...
TVHOURS
OBEDIENCE
ATTITUDE
3
1
2
1
1
1
4
1
1
4
1
1
7
1
1
2
1
1
7
1
1
14
1
3
3
1
1
3
2
2
2
2
2
3
3
2
3
3
2
5
2
2
5
1
2
2
2
1
2
1
1
2
1
1
2
1
1
2
3
2
2
2
2
4
2
2
3
2
2
10
1
2
4
1
1
10
1...
1 19.7 1 14.7 1 19.5 1 18 1 15.3 1 13 1 18.1 1 22.6...
1
19.7
1
14.7
1
19.5
1
18
1
15.3
1
13
1
18.1
1
22.6
1
17.2
1
22
2
11.8
2
11.5
2
13.8
2
4
2
12.1
2
13.4
2
16.6
3
15.3
3
17.2
3
22.4
3
21.2
3
22.1
3
22.7
3
24.5
3
19.5
3
21.5
4
14.7
4
14
4
13.7
4
14.6
4
14.4
4
17.2
4
17.2
4
17.4
4
14.6
1) What was the margin of error for the confidence...
A = ⌈ 1 2 0 ⌉ | -1 0 1 | ⌊ 0 1 -1...
A =
⌈
1
2
0
⌉
|
-1
0
1
|
⌊
0
1
-1
⌋
and
B =
⌈
1/3
-2/3
-2/3
⌉
|
1/3
1/3
1/3
|
⌊
1/3
1/3
-2/3
⌋
Given matrices A and B, find
AB and BA. Show all work. Are
they equal, and why or why not?
1. If (1, -1) is an eigenvector of A with associated eigenvalue -2, and (1, 1)...
1. If (1, -1) is an eigenvector of A with associated
eigenvalue -2, and (1, 1) is an eigenvector of A with
associated eigenvalue 4, then what the entries of A ,a11 , a12,
a21 and a22 ?
2. If A has a repeated eigenvalue, the A definitely isn't
diagonalizable. (True or False)
Question2. Let A = [2 1 1 1 2 1 1 1 2 ]. (a) Find...
Question2.
Let A = [2 1 1
1 2 1
1 1 2 ].
(a) Find the characteristic polynomial PA(λ) of A and the
eigenvalues of A. For convenience, as usual, enumerate the
eigenvalues in decreasing order λ1 ≥ λ2 ≥ λ3.
(b) For each eigenvalue λ of A find a basis of the corresponding
eigenspace V (λ). Determine (with a motivation) whether V (λ) is a
line or a plane through the origin. If some of the spaces V...
Let A = 2 1 1 1 2 1 1 1 2 (a) Find the characteristic...
Let A = 2 1 1
1 2 1
1 1 2
(a) Find the characteristic polynomial PA(λ) of A and the
eigenvalues of A. For convenience, as usual, enumerate the
eigenvalues in decreasing order λ1 ≥ λ2 ≥ λ3.
(b) For each eigenvalue λ of A find a basis of the corresponding
eigenspace V (λ). Determine (with a motivation) whether V (λ) is a
line or a plane through the origin. If some of the spaces V (λ) is...
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