Question

List x1, x2, x3, x4 where xi is the right endpoint of the four equal intervals used to estimate the area under the curve of f(x) between x = 3 and x = 5.


3, 3.5, 4, 4.5


3, 3.2, 4.6, 5


3.5, 4, 4.5, 5


3.25, 3.75, 4.25, 4.75




my answer was a because i kept getting numbers like 3, 3.6, and 4.2 and a was the closest can someone check it

Answer 1

if xi is the <u>right</u> endpoint, then 3 cannot be x1. That leaves only c and d for choices.

Since the interval length is 2, and the number of divisions is 4, each interval is .5 in width.

Looks like (c) to me.

BTW, (d) is the set of midpoints.