Answer:
third one
Step-by-step explanation:
cuz its a fraction, and fractions arent polynomials
Answer:
Step-by-step explanation:
given a point the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form , the y intercept is b and the x intercept is .
So, in our case, the y intercept is and the x intercept is .
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph . Which means that
The slope of the tangent line is given by the derivative of the function evaluated at . Using the properties of derivatives, we get
. So evaluated at we get
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height and base . So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
Parameterize the lateral face
of the cylinder by
where
and
, and parameterize the disks
as
where
and
.
The integral along the surface of the cylinder (with outward/positive orientation) is then