Which function has a domain
1 answer:
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Answer:
{x∈R | , x∉Z}
Step-by-step explanation:
Given the function y=3tan(2/3x)
We know that tangent is a function that's continuous within it's domain but not continuous on all real numbers
Also, the roots of y=3tan(2/3x) is where n is an integer
Note that the domain of the function cannot be within
Therefore, {x∈R | , x∉Z}
is conservative if we can find a scalar function such that
. This would require
Integrating both sides of the first equation wrt gives
Differentiating both sides of this wrt gives
but we assumed was a function of
and
, independent of
. So there is no such
and
is not conservative.
To find the work, first parameterize the path (call it ) by
for . Then
and the work is given by the line integral,