Abigail and Spencer calculate the slope of the line between the points (3,-1) and (5,4) in different ways. Abigail calculates th
1 answer:
You might be interested in
The area of the surface is given exactly by the integral,
We have
so the area is
We split up the domain of integration into 10 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]
where the left and right endpoints for the -th subinterval are, respectively,
with midpoint
with .
Over each subinterval, we interpolate with the quadratic polynomial,
Then
It turns out that the latter integral reduces significantly to
which is about 651.918, so that the area is approximately .
Compare this to actual value of the integral, which is closer to 1967.