Integration will be ln | ( x /9 ) + ( 
) | + c .
Given ∫ 1 dx / ( 
- 81 )
Put ,
x = 9 secθ
dx = 9 secθ tanθ dθ
and
= 9 tanθ
Substituting values in ∫ 1 dx / ( - 81 ) ,
∫ (9 secθ tanθ ) dθ / ( 9 tanθ )
∫ secθ dθ = ln | secθ + tanθ | + c
= ln | ( x /9 ) + ( / 9 ) | + c
= ln | ( x /9 ) + ( ) | + c
Hence , the integration will be ln | ( x /9 ) + ( ) | + c .
To learn more on integration follow link :
brainly.com/question/20156869
#SPJ4
Answer: 59.5
Step-by-step explanation:
U(t) = 5.1t^2 − 1.7t
U'(t)=2*5.1t-1.7
U'(t)=10.2t-1.7
U'(6)=10.2(6)-1.7
U'(6)=61.2-1.7
U'(6)=59.5
1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.
2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.
<h3>What does Thomas Edison's reference mean?</h3>
According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).
Perspiration literarily refers to the sweat that emanates as someone works hard.
Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.
Learn more about Thomas Edison at brainly.com/question/26568016
Answer:
I believe it would be -11/4.
