The scatterplot shows a linear relationship between the distance traveled and the time elapsed. What is the rate of change of th
e linear relationship?
For every increase in time by 1 hour, the distance increases
36 miles.
54 miles.
72 miles.
90 miles.
For every increase in time by 1 hour, the distance increases
36 miles.
54 miles.
72 miles.
90 miles.
2 answers:
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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