I assume
has counterclockwise orientation when viewed from above.
By Stokes' theorem,

so we first compute the curl:


Then parameterize
by

where the
-component is obtained from

with
and
.
Take the normal vector to
to be

Then the line integral is equal in value to the surface integral,



<h2>Domain: {0, 2}</h2><h2>Range: {0, 1, 1}</h2><h2 /><h3>When dealing with the domain, remember that no numbers can repeat in the domain so if there is more than one of the same number, we only list it one.</h3><h3 /><h3>When dealing with the range, it's ok if numbers repeat because it's the y-value not the x-value.</h3><h3 /><h3 />
Answer:
Step-by-step explanation:
Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.
To find : A 99% confidence interval for the mean yield when the new catalyst is used ?
Solution :
Let X be the yield of the batches.
We have given, n=10 ,
, s=5.8%
Since the size of the sample is small.
We will use the student's t statistic to construct a 995 confidence interval.

From the t-table with 9 degree of freedom for 


The 99% confidence interval is given by,




ANSWER:
N = 16
STEP BY STEP EXPLANATION:
2(5+3)
2(5+3)
n=16
32/45 is the answer I believe