Direct computation:
Parameterize the top part of the circle 
by
with 
, and the line segment by
with 
. Then
Using the fundamental theorem of calculus:
The integral can be written as
If there happens to be a scalar function 
such that 
, then 
is conservative and the integral is path-independent, so we only need to worry about the value of at the path's endpoints.
This requires
So we have
which means is indeed conservative. By the fundamental theorem, we have
Answer:
y = -3
Step-by-step explanation:
Desmos
B² = 8b + 84
b² - 8b - 84 = 0
b = <u>-(-8) +/- √((8)² - 4(1)(-84))</u>
2(1)<u>
</u>b = <u>8 +/- √(64 + 336)</u>
2
b = <u>8 +/- √(400)
</u> 2<u>
</u>b = <u>8 +/- 20
</u> 2
b = 4 <u>+</u> 10
b = 4 + 10 b = 4 - 10
b = 14 b = -6
<u />
Answer:
The difference between a median and altitude of a triangle is given below :
Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side
.But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.
Step-by-step explanation:
The difference between a median and altitude of a triangle is given below :
Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side
.But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.
