Treat
as the boundary of the region
, where
is the part of the surface
bounded by
. We write
with
.
By Stoke's theorem, the line integral is equivalent to the surface integral over
of the curl of
. We have
so the line integral is equivalent to
where
is a vector-valued function that parameterizes
. In this case, we can take
with
and
. Then
and the integral becomes
<span />
Answer:
d. (9, 0)
Step-by-step explanation:
(x, y) so...
Where the line crosses the x-plane, x = 9
Since this is the x-intercept y will always equal zero
Therfore x-int = (9, 0)
Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>
Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.
Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''.
Hence:
Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
Find out more on transformation at: brainly.com/question/4289712
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