B. Only Sequence B
The one with the reflection over the line HI and then the 6 unit translation to the right
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.
Answer:
-42
Step-by-step explanation:
The objective is to find the line integral of
around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.
We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.
We have that

Therefore,

Let's calculate the needed partial derivatives.

Thus,

Now, by the Green's theorem, we have

Answer:
y=-2/5x+2
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=30
m=abe=180