An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the ea
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Answer:
The distance between two cities is <em>60 miles.</em>
Step-by-step explanation:
Time taken to travel from B to A = 2 hours
Time taken to travel from A to B = 1.5 hours
Current speed = 5 mph
Let the speed of ferry in still water = <em>u</em> mph
When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).
Let the distance between the two cities A and B = D miles
While moving with the current, speed =
While moving against the current, speed =
Formula for Distance = Speed Time
Distance traveled in each case is same i.e. D.
So,
Now,
So, the distance between two cities is <em>60 miles.</em>
The arc length of the curve is
which has a value of about 5.99086.
Let . Split up the interval of integration into 10 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], ..., [9/2, 5]
The left and right endpoints are given respectively by the sequences,
with .
These subintervals have midpoints given by
Over each subinterval, we approximate with the quadratic polynomial
so that the integral we want to find can be estimated as
It turns out that
so that the arc length is approximately