Given:
The expression is
.
To find:
The position of parentheses inserted in the expression to get the value 19
Step-by-step explanation:
We have,

Now,




There are more ways to apply the parenthesis, but we do not get 19.



And many more possibilities.
Therefore, the expression after inserting the parentheses is
.
Answer:
The input or independent variable is x.
Step-by-step explanation:
Split
into two component segments,
and
, parameterized by


respectively, with
, where
.
We have


where 
so the line integral becomes



Answer:
0
Step-by-step explanation:
If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0
So the probability of A <em>and </em>B occuring is 0 (because P(A∩B)= 0)