The answer should be the second one y=37
Answer:
16
Step-by-step explanation:
=
multiplied by 
so
= 16
Since you mentioned calculus, perhaps you're supposed to find the area by integration.
The square is circumscribed by a circle of radius 6, so its diagonal (equal to the diameter) has length 12. The lengths of a square's side and its diagonal occur in a ratio of 1 to sqrt(2), so the square has side length 6sqrt(2). This means its sides occur on the lines
and
.
Let
be the region bounded by the line
and the circle
(the rightmost blue region). The right side of the circle can be expressed in terms of
as a function of
:

Then the area of this circular segment is


Substitute
, so that 


Then the area of the entire blue region is 4 times this, a total of
.
Alternatively, you can compute the area of
in polar coordinates. The line
becomes
, while the circle is given by
. The two curves intersect at
, so that


so again the total area would be
.
Or you can omit using calculus altogether and rely on some basic geometric facts. The region
is a circular segment subtended by a central angle of
radians. Then its area is

so the total area is, once again,
.
An even simpler way is to subtract the area of the square from the area of the circle.

You can always add or subtract
same value to/from both sides of equation. The same is true about multiplication and division.
In your case you have to subtract
x from both sides of equation in order to get rid of it on the left side:


But it's easier to remember that if you want to move some member of equation to other side, you just have to
change it's sign. Let's practice a bit using your equation (I have added "plus" signs where they are usually omitted to better understend what's going on):

Move
2y to the right side:

Move
8 to the left side:

Move both
x and
2y to the right side:
slope is -2/3
y2-y1/x2-x1
so the first y and the second y and subtract those
thn subtract the second x frm the first x
then divide the two numbers