By Stokes' theorem,

where

is the circular boundary of the hemisphere

in the

-

plane. We can parameterize the boundary via the "standard" choice of polar coordinates, setting

where

. Then the line integral is


We can check this result by evaluating the equivalent surface integral. We have

and we can parameterize

by

so that

where

and

. Then,

as expected.
Answer:bh
345
Step-by-step explanation:
y is in direct proportion to x. x = 25, y = 5. Find the value of y, if x = 9.
-3x + 9 - 4 = x + 3 + 2x
-3x + 9 - 4 = 3x + 3
9 - 4 = 6x + 3
5 = 6x + 3
2 = 6x
1/3 = x
Using the asymptote concept, we have that:
- The vertical asymptote is x = 9.
- The horizontal asymptote is y = 3.
- The end behavior is that as
.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this problem, the function is:

For the vertical asymptote, we have that:
x - 9 = 0 -> x = 9.
For the horizontal asymptote:

Hence, the end behavior is that as
.
More can be learned about asymptotes at brainly.com/question/16948935
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-1(18+4x)=8
Then you distribute
-18-4x=8
-4x=26
X= -6.5