Answer: 1st one
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = -4x + 7
perp. 1/4
y - 3 = 1/4(x + 8)
y - 3 = 1/4x + 2
y = 1/4x + 5
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


Add 4 to both sides
x - 4 < -3
x-4+4 < -3+4
x < 1
To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.
The graph is shown below.
Answer:
<h3>
33°</h3>
Step-by-step explanation:
Sum of measures of angles in any triangle is 180°
The maesure of right angle is 90°
So: m∠EFD = 180° - 90° - 57° = 33°