Which graph represents the solution set of the system y ≤ x2 – 1 and x > y2 – 6?
2 answers:
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Split up the interval [0, 8] into 4 equally spaced subintervals:
[0, 2], [2, 4], [4, 6], [6, 8]
Take the right endpoints, which form the arithmetic sequence
where 1 ≤ <em>i</em> ≤ 4.
Find the values of the function at these endpoints:
The area is given approximately by the Riemann sum,
where ; so the area is approximately
where we use the formulas,