So I have the same problem with you
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

Speed = distance / time => time = distance / speed
speed = 3x10^8 x 60 = 180x10^8 m per minute
time = 1.5x10^11/180x10^8 = 150x10^9/180x10^8 = 5/6x10 = 8,3 minutes
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
I'm going to help youuuuu.
Step-by-step explanation:
{1}
Your answer is A) because the rise/run is -2/4x, which simplifies to -1/2x, which is <em>option A)</em>.
{2}
Dario's salary is <em>B) $12 per hour</em>. This is because, in 5 hours, Dario makes 60 dollars. If you find the unit rate of $60 in 5 hours, the answer is $12 per hour.
{3}
A) Between <em>x = -6</em> and <em>x = -2</em>
I hope this helps! I am sorry if any of these are incorrect!
- sincerelynini