Answer:
∫
= 
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let 
Differentiate both sides with respect to 
[use 
]
So,
∫ = ∫ 
= 
where 
is a variable.
(Use ∫
)
Put 
∫ = 
Use 
So,
∫ = 
where 
Without using substitution:
∫ = ∫
= 
So, same answer is obtained in both the cases.
The correct answer is C (-20) let me know if you want to know how I got that answer
Answer:
, see the graph attached for a visual reference.
Step-by-step explanation:
Vertical asymptotes are only present in rational functions where the parent function 
has a vertical asymptote at the line 
and a horizontal asymptote at the line 
. Because the vertical asymptote has to be 
, the denominator must be x-7 in order for the denominator to equal 0. For the horizontal asymptote to be 
, then 3 must be subtracted from the rational function. Therefore, the function that has these asymptotes is .
Answer:
15
Step-by-step explanation:
Given
Brian's house: (-7, 9)
Sue's house: (-7, -2)
Find
The number of units between Brian's house and Sue's house.
Solution
Both Brian and Sue live on the "street" x=-7, so the distance between their houses is the distance between -2 on that street and +9 on that street. We always consider distance to be positive, so it doesn't matter whether we start at Brian's house and go -11 units to Sue's house, or start at Sue's house and go +11 units to Brian's house. Either way, we travel 11 units.
_____
"Displacement" is another matter. That has a sign associated with it and there is always a reference direction that is positive. Movement in the opposite direction results in a negative displacement. "Distance" is always positive.
