The rectangle below has an area of x^2-16 square meters and a width of x+4 meters.
2 answers:
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Answer: m = 0
Step-by-step explanation: To find the slope of the line, we can use the graphing method. To do this, we start by plotting our two points.
Let's label (6, 1) as point A and (-6, 1) as point B.
Now, graph our line through the 2 points.
Now remember that the slope, or m, is equal to
the rise over run from point A to point B.
To get from point A to point B, we rise o units and run -12 units.
So our slope or rise / run is 0/-12 which simplifies to 0.
This should make sense because we have a horizontal or flat line and
remember that the slope of any horizontal or flat line is 0.
Image attached.
Denote the circle of radius by
.
is simple and closed, so by Green's theorem the line integral reduces to a double integral over the interior of
(call it
):
is a circle of radius
, so we can write the double integral in polar coordinates as
a. For , we have
b. Let denote the integral with unknown parameter
,
By the fundamental theorem of calculus,
has critical points when
If , then line integral is 0, so we ignore that critical point. For the other two, we would find
.