on another training ride jana bikes 15 miles in 50 minutes explain how you could find the number of miles she bikes in 1 hour ex
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Answer:
Step-by-step explanation:
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