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

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 ago

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...

Question

1 &

Solutions