Answer:
I hope it's helpful.
Step-by-step explanation:
In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.
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:
The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water
Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.
Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute Hence, the required expression is 35 – m
