anonymous
  • anonymous
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.
Calculus1
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
zzr0ck3r
  • zzr0ck3r
can you break this into \(4\) intervals \((4,6)\)?
anonymous
  • anonymous
I'm not understanding what it's looking for here..... @zzr0ck3r How would I do that? I don't recall anything like that.
zzr0ck3r
  • zzr0ck3r
I think I will just show you, and then it will make sense \(x_1=4, x_2=4.5, x_3=5,\) and \(x_4=6\)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
So how did you choose those four numbers? I understand they are between 4 to 6 but is a random selection?
zzr0ck3r
  • zzr0ck3r
it would be the only way to break the interval \([4,6]\) into \(4\) parts.
anonymous
  • anonymous
Don't think so https://gyazo.com/f25d718a61e95059646b790eba350188
zzr0ck3r
  • zzr0ck3r
I meant \(x_4=5.5\) sorry
zzr0ck3r
  • zzr0ck3r
want me to explain why?
anonymous
  • anonymous
Please
zzr0ck3r
  • zzr0ck3r
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|
zzr0ck3r
  • zzr0ck3r
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 |dw:1441154252671:dw| 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) |dw:1441154442521:dw|
zzr0ck3r
  • zzr0ck3r
If we break this into infinite pieces, we would get the exact area, not just the approximate.
anonymous
  • anonymous
I understand why you did so...just how? Like why .5 and not .3?
zzr0ck3r
  • zzr0ck3r
if I give you two dollars and ask you to break it into 4 even pieces, what would the size of each one be?
anonymous
  • anonymous
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?

Looking for something else?

Not the answer you are looking for? Search for more explanations.