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Sketch the points given. Use rectangles to estimate the distance traveled by the rocket over the first 120 seconds as directed. (a) ... using 3 subintervals of equal width and the midpoint for sample points. http://i48.tinypic.com/65ac1e.jpg

Mathematics
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I tried using the rieman sum midpoint but I keep getting it wrong!!!!
how are you supposed to divide 140 in to three sub intervals? got me.
It changed it to 120

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Other answers:

i guess each has length of \(46\tfrac{2}{3}\) and you take the midpoint so first sample point would be at \(23\tfrac{1}{3}\)
you just ignore the 140 I guess
well that makes it easier
so it would be 30
no one third of 120 is 40
oh crap I thought it was four intervals
one interval would be \([0,40]\) next would be \([40,80]\) and last would be \([80,120]\) you would sample as \(20,60,100\)
*sample AT
so it would be 40[ f(20)+f(60)+f(100)] ?
yes that should do it
@satellite73 but it talks about rectangles so for each interval do I just do the X*y?
It's still wrong. :(
yes it is just rectangles, base times height
is the last 140,8 gone or something?
40[(2*20)+(4*20)+(8*20)]
I don't know, but this is what I did using base times height
and it's still wrong
oh i see what you did wrong
the base if 40, the height is 2, 4 and 8 respectively
you wrote \(40[ f(20)+f(60)+f(100)]\)
that is correct, and \(f(20)=2,f(60)=4, f(100)=8\) so it should be \[40(2+4+8)\]
OH -_- wow. thanks :P I knew I was doing something too much
:)

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