Answer:
-21
Step-by-step explanation:
-6x + 2y = -18.........(i)
-3x - 2y = 54...........(ii)
add equ.(ii) to equ. (i)
(-6x + [-3x]) + (2y + [-2y]) = -18 + 54
-9x = 36
x = -4
sub x= -4 into equ (i)
-6(-4) +2y = -18
24 + 2y = -18
24 +18 = -2y
42 = -2y
y = -21
Answer:
46 degrees
Step-by-step explanation:
180 - 102 - 32 equals to 46
Answer:
x = 7
Step-by-step explanation:
It looks like the integral is

where <em>C</em> is the circle of radius 2 centered at the origin.
You can compute the line integral directly by parameterizing <em>C</em>. Let <em>x</em> = 2 cos(<em>t</em> ) and <em>y</em> = 2 sin(<em>t</em> ), with 0 ≤ <em>t</em> ≤ 2<em>π</em>. Then

Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on <em>C</em> nor in the region bounded by <em>C</em>, so

where <em>D</em> is the interior of <em>C</em>, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result:
.