Substitute <em>x</em> = 3 - 2 cos(<em>θ</em>) and d<em>x</em> = 2 sin(<em>θ</em>) d<em>θ</em> (where "sin" = "sen"). So we have
∫ sin(<em>θ</em>) / (3 - 2 cos(<em>θ</em>)) d<em>θ</em> = 1/2 ∫ 1/<em>x</em> d<em>x</em>
= 1/2 ln|<em>x</em>| + <em>C</em>
= 1/2 ln(3 - 2 cos(<em>θ</em>)) + <em>C</em>
(We can remove the absolute value because -1 ≤ cos(<em>θ</em>) ≤ 1, so 1 ≤ 3 - 2 cos(<em>θ</em>) ≤ 5, and |<em>x</em>| = <em>x</em> when <em>x</em> ≥ 0.)
She sees 7 more than puppies (15 - 8 = 7)
Answer:

Step-by-step explanation:

The perpendicular bisector theorem gives the statements that ensures
that
and
are perpendicular.
The two statements if true that guarantee
is perpendicular to line
are;
Reasons:
The given diagram is the construction of the line
perpendicular to line
.
Required:
The two statements that guarantee that
is perpendicular to line
.
Solution:
From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line
, therefore;
arcs drawn from the same radius.
is perpendicular to line
, given.
Therefore;
by perpendicular bisector theorem.
Learn more about the perpendicular bisector theorem here:
brainly.com/question/11357763
7/8 boats per day will make it