In this problem why is the easiest to substitute.
Just set the equations equal to each other because they both equal y
-x + 4 = 2x - 8
(You want to get all the x's to one side so add x to each side)
4 = 3x - 8
(next add 8 to both sides)
12 = 3x
(lastly divide 3 from both sides)
4 = x
You have got your x so now it is time to find that y just replace x to either of the two equations
y = 2(4) -8 or y = -(4) + 4
y = 8 - 8 y = 0
y = 0
Final Answer: y=0, x=4
The intersection can be parameterized by
with
.
By Stoke's theorem, the integral of
along
is equivalent to
where
is the region bounded by
. The line integral reduces to
<span>no está en mi equipo lo siento</span>
If an integer is both a square and a cube, it can be of the form:
<span>(<span>a3</span><span>)^2</span></span>
Now,
since a cube can be of the form 7k or 7k+-1(thanks to FoolForMath),
we write
<span><span>a^3</span>=7k</span>
and get the no to be
49k^2
, which is in the form of 7 times something
<span>49<span>k^2</span>=7×(7<span>k^2</span>)</span>
Now put
<span><span>a^3</span>=7k+−1</span>
Square it
and you'll get a number in the form of (7times something +1)
