Answer:
3 ln(x − 1) − 3/(x − 1) + C
Step-by-step explanation:
∫ 3x / (x − 1)² dx
3 ∫ x / (x − 1)² dx
If u = x − 1, then x = u + 1, and du = dx.
3 ∫ (u + 1) / u² du
3 ∫ (1/u + 1/u²) du
3 (ln u − 1/u + C)
3 ln u − 3/u + C
Substitute back:
3 ln(x − 1) − 3/(x − 1) + C
Answer:
Step-by-step explanation:84% of a contractor’s jobs involves electrical work. 75% of a contractor’s jobs involve plumbing work. Of the jobs that involve plumbing, 90% of the jobs also involves electrical work. Let E = jobs involving electrical work L = jobs involving plumbing work Suppose one of the contractor’s jobs is randomly selected. Using the sixth Excel worksheet, a) Find P(E). 0.84 b) Find P(L). 0.75 c) In words, what does E | L mean? d) Find P(E | L). e) Find P(E and L). f) Are E and L independent events? Why or why not? g) Find P(E or L). h) Are E and L mutually exclusive? Why or why not
Answer: C
I put the working in the other question you put up, but to put it briefly, multiply everything by 6 because all the options provided have a -6 inside that was meant to be the -1
Answer:
is a solution
Step-by-step explanation:
Given
![y \le -4x + 3](https://tex.z-dn.net/?f=y%20%5Cle%20-4x%20%2B%203)
![x + 8y \ge 7](https://tex.z-dn.net/?f=x%20%2B%208y%20%5Cge%207)
Required
Determine if
is a solution
becomes
![2 \le -4 * -3 + 3](https://tex.z-dn.net/?f=2%20%5Cle%20-4%20%2A%20-3%20%2B%203)
--- this is true
![x + 8y \ge 7](https://tex.z-dn.net/?f=x%20%2B%208y%20%5Cge%207)
![-3+ 8 * 2 \ge 7](https://tex.z-dn.net/?f=-3%2B%208%20%2A%202%20%5Cge%207)
--- this is also true
Hence,
is a solution
B1 = 2
b2 = (b1)^2 + 1 = 2^2 + 1 = 5
b3 = (b2)^2 + 1 = 5^2 + 1 = 26
b4 = (b3)^2 + 1 = 26^2 + 1 = 676+1=<span>677</span>