Answer:
The correct option is 4.
Step-by-step explanation:
The given function is,
It is a modulus function and its parent function is,
In a function,
If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.
Since k is , therefore the shoes the vertical compression.
put x=0 in the given function.
Put x=3.
Therefore the graph passing through (0,0) and (3,1).
So the fourth option is correct.
Hope this helps :)
Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle in the plane
, where the curl is
. Green's theorem applies here, so that
which means the value of the line integral is 3 times the area of the circle, or .
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.