PLEASE HELP THANK YOU EVERYBODY
2 answers:
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I gather you're supposed to compute the integral of over a surface
that is the part of the parabolic cylinder
with
and
.
We can parameterize by
with the given constraints on and
. Take the normal vector to
to be
so that the surface element is
Then in the integral, we have
Matching each equation of the plecewise function represented in the graph will be:
- 2 < x < 3 = 3 - x
- 0 < x < 2 = 1
- x = 2 = x
- 3 < x < 5 = 5 - x
It should be noted that a domain simply means the set of inputs that are accepted by the function.
In this case, the equation of the piecewise function represented is given.
The graph is attached.
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