
Parameterize the line segment (call it
) by


with
. Then

and the line integral is



Alternatively, if we can show that
is conservative, then we can apply the fundamental theorem of calculus. We need to find
such that
, which requires



Integrating both sides of the first equation with respect to
gives

Differentiating both sides wrt
gives


Differentiating wrt
gives


So we have

and
is conservative. By the FTC, we find

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Answer:
0.622
Step-by-step explanation:
According to the question,
62.2% of the respondents from Hawaii said that they had exercised more than 30 minutes a day for 3 days out of the week.
So, value of the sample proportion of people from Hawaii who exercised for at least 30 minutes a day for 3 days in a week is given by,

= 0.622
Answer:

Step-by-step explanation:
we know that
The rate is equal to

Remember that

substitute

With only one equation and no answer choices, there are an infinite number of possible values for x and y to make the equation true.