By Green's theorem,

where
is the circle
and
is the interior of
, or the disk
.
Convert to polar coordinates, taking

Then the work done by
on the particle is

X/7= -3
X= -21
Hope this helps!
Answer: See below
Step-by-step explanation:
For the first one, we are already given our slope. All we need to do is find the y-intercept, b.
y=-2x+b
6=-2(-3)+b
6=6+b
b=0
The slope-intercept form is y=-2x.
For the second one, we need to first find the slope using
.

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.



The slope-intercept form is
.
For the third one, we are already given the slope, so all we have to do is find b.




The slope-intercept form is
.
For the last one, we need to first find the slope using
.

Now that we have our slope, we can plug it into our slope-intercept form and find b.




Our slope-intercept form is
.
If you are trying to find the interest, it would be $60.00. To get this just multiply everything. Hope this helps!!! :)
<span />