anonymous
  • anonymous
Write the summation to estimate the area under the curve y = 2x2 + 1 from x = 0 to x = 4 using 4 rectangles and left endpoints.
Mathematics
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anonymous
  • anonymous
Write the summation to estimate the area under the curve y = 2x2 + 1 from x = 0 to x = 4 using 4 rectangles and left endpoints.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
https://gyazo.com/10fefff1c824a71908fefa15fce74b76 It's A, right? Just making sure I got the right answer, haven't don math in quite some time.
anonymous
  • anonymous
dinamix
  • dinamix
yup its great mate @Ephemera

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anonymous
  • anonymous
I got it wrong :(
zzr0ck3r
  • zzr0ck3r
@dinamix this is once again why just giving answers can be bad, you don't know the answer is wrong that you gave...
zzr0ck3r
  • zzr0ck3r
@Ephemera would you like to learn how to do this?
dinamix
  • dinamix
lol @zzr0ck3r he tell me do that
anonymous
  • anonymous
Of course @zzr0ck3r
zzr0ck3r
  • zzr0ck3r
remember we don't start at the beginning of the interval, which here you chose 0. If we put it into 4 parts, from 0 to 4, we would use the interval [0,1], [1,2], [2,3], and [3,4]. When we take the width of the first interval, we have 1, so we start at 1 not 0. So what is the right answer?
anonymous
  • anonymous
It would be D, right?
zzr0ck3r
  • zzr0ck3r
correct
zzr0ck3r
  • zzr0ck3r
remember last time, \(x_1=4.5\) not \(4\) even though we were on the interval \([4,6]\).
dinamix
  • dinamix
\[\sum_{i=1}^{4}(2i^2+1) = 3+9+19+33\] @Ephemera i think should be like that
anonymous
  • anonymous
So if it was for example 3 to 5, I'd divide it into 3,3.5,4,4.5?
zzr0ck3r
  • zzr0ck3r
once again, @dinamix just giving the answer would not help really, with logic and reasoning you can lead them to the correct answer.
zzr0ck3r
  • zzr0ck3r
@Ephemera yes, if they said 4 intervals
zzr0ck3r
  • zzr0ck3r
well no, it would be 3.5, 4, 4.5, 5
zzr0ck3r
  • zzr0ck3r
this is assuming they want right triangles, which is pretty normal
zzr0ck3r
  • zzr0ck3r
but the intervals would be [3,3.5], [3.5,4], [4,4.5], [4.5, 5]
anonymous
  • anonymous
Ok, think I got it I reset my exam because I got a low grade on the last....can you check over my work @zzr0ck3r?
dinamix
  • dinamix
@zzr0ck3r wow u are good teacher i like u ;)
zzr0ck3r
  • zzr0ck3r
Just post questions as you have them, I am not sure how ethical that is...

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