Answer:

Step-by-step explanation:
Given
![\int {\ln(u)} \, du = u[\ln(u) - f(u)] + c](https://tex.z-dn.net/?f=%5Cint%20%7B%5Cln%28u%29%7D%20%5C%2C%20du%20%3D%20u%5B%5Cln%28u%29%20-%20f%28u%29%5D%20%2B%20c)
Required
Find f(u)
To do this, we start by integrating the left-hand side

Using integration by parts, we have:

So, we have:

Differentiate


Integrate

So:



So, we have:

Integrate du using constant rule

Subtract c from both sides

Subtract u ln(u) from both sides

Rewrite as:

Answer:
y=64°
Step-by-step explanation:
Within a trapezoid, the angles on the same side of a leg add up to 180:
(6x+20)+(4x)=180
6x+4x=180-20
10x=160
x=16
Since the base lines are parallel, and the leg lines are equal in length, y=4x
y=4(16)
y=64°
Answer:
500 calories
Step-by-step explanation:
divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories
Answer:

Step-by-step explanation:
Number of phones broken = 3
Number of phones not broken = 15
Total number of phone in the shipment = 18
Since a not broken phone has been randomly selected, the number of phones not broken reduces to 14. And the total number of phones would be 17.
Pr(of newly selected phone NOT broken) = 
= 
Therefore, the probability of the selected phone not being broken is
.