Answer:
The constant of proportionality would just be 12.9.
Step-by-step explanation:
This equation is already simplified enough to were the constant of proportionality is just the number attached to the x.
Step by step explanation = 76
Parameterize
by

with
and
. Take a normal vector to
,

which has norm

Then the integral of
over
is


9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
Divide both sides by 2
p + 1 = 16/2
Simplify 16/2 to 8
p + 1 = 8
Subtract 1 from both sides
p = 8 - 1
Simplify 8 - 1 to 7
<u>p = 7</u>