List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x) between x = 4 and x = 6.
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
can you break this into \(4\) intervals \((4,6)\)?
I'm not understanding what it's looking for here.....
@zzr0ck3r How would I do that? I don't recall anything like that.
I think I will just show you, and then it will make sense
\(x_1=4, x_2=4.5, x_3=5,\) and \(x_4=6\)
Not the answer you are looking for? Search for more explanations.
So how did you choose those four numbers? I understand they are between 4 to 6 but is a random selection?
it would be the only way to break the interval \([4,6]\) into \(4\) parts.
Don't think so
I meant \(x_4=5.5\) sorry
want me to explain why?
When we take the integral of something we are taking the area under the function, imagine you want to take the integral of the function \(f(x) = 2x+3\) from \(4\) to \(6\)
The graph would look something like this|dw:1441154162616:dw|
we want the are under the graph from \(x=4, \) to \(x=6\). One way to approximate this area would be to break it up into four sections
Now we would estimate the area of each part
We treat each part as a rectangle, so the area is 0.5 (the width of the rectangle) times \(f(4.5)\) . So the area of the first rectangle is estimated by \(0.5*f(4.5)\) and we get this area (approximately)
If we break this into infinite pieces, we would get the exact area, not just the approximate.
I understand why you did so...just how? Like why .5 and not .3?
if I give you two dollars and ask you to break it into 4 even pieces, what would the size of each one be?
Ok, that's why, the pieces must be even. So why wasn't the 6 included? Is it because it's the last and should already be known?