Answer:
C' will be located at (-4,-2)
Step-by-step explanation:
Looks like we're given

which in three dimensions could be expressed as

and this has curl

which confirms the two-dimensional curl is 0.
It also looks like the region
is the disk
. Green's theorem says the integral of
along the boundary of
is equal to the integral of the two-dimensional curl of
over the interior of
:

which we know to be 0, since the curl itself is 0. To verify this, we can parameterize the boundary of
by


with
. Then


Answer:
x = 8
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
x = 8
Answer:
1/3
Step-by-step explanation:
2nd one