anonymous
  • anonymous
The function f is continuous on the interval [2, 10] with some of its values given in the table below. Use a trapezoidal approximation with 4 trapezoids to approximate the integral from 2 to 10 of f of x dx.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
https://gyazo.com/beafcad65c1c6321f2fc578f0f5b7583
anonymous
  • anonymous
@jim_thompson5910 Only person who seems to know calc
jim_thompson5910
  • jim_thompson5910
how far did you get?

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anonymous
  • anonymous
Just started the problem.
anonymous
  • anonymous
I'm currently graphing online
anonymous
  • anonymous
Just decided that my graphing calculator would be a more efficient solution.
jim_thompson5910
  • jim_thompson5910
I agree. So you are able to plot the points and calculate the area of each trapezoid?
anonymous
  • anonymous
Plotted the points, kind of stuck on the trapezoid part.
anonymous
  • anonymous
What trapezoids are they referring to?
jim_thompson5910
  • jim_thompson5910
does this graph help at all (see attached) ?
1 Attachment
jim_thompson5910
  • jim_thompson5910
here's a bigger version
1 Attachment
anonymous
  • anonymous
Yes, the first one seems to be a triangle though
jim_thompson5910
  • jim_thompson5910
well if one parallel side of a trapezoid is 0, then we have a triangle
jim_thompson5910
  • jim_thompson5910
so you can either use the triangle area formula or the trapezoid area formula (with one base being 0)
anonymous
  • anonymous
Got 2.4 for the first one.
anonymous
  • anonymous
4.7 for the second one.
jim_thompson5910
  • jim_thompson5910
incorrect
anonymous
  • anonymous
Seriously?
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
Damn calculator failed me, now I have to manually solve
jim_thompson5910
  • jim_thompson5910
maybe you typed in the wrong thing? post what you typed in so I can see
anonymous
  • anonymous
I went to STAT and put in the table above X under L1 and Y under L2
anonymous
  • anonymous
I then went to STAT CALC and calculated a quadratic formula almost equal to the points in stat.
jim_thompson5910
  • jim_thompson5910
why not just compute the area of each trapezoid using A = h*(b1+b2)/2
jim_thompson5910
  • jim_thompson5910
refer to my image attachment http://assets.openstudy.com/updates/attachments/563abfcfe4b031eb5b29ec94-jim_thompson5910-1446692170541-graph3.png
anonymous
  • anonymous
Thought I could use a shortcut.
anonymous
  • anonymous
Which failed. So I'll do that now.
anonymous
  • anonymous
First 2*4*1/2 = 4 Second 3*(3+8)/2 = 33/2 Third 2*(8+15)/2 = 23 Fourth (15+17)/2 = 16
anonymous
  • anonymous
Total 59.5
anonymous
  • anonymous
Right?
jim_thompson5910
  • jim_thompson5910
`First 2*4*1/2 = 4` .... disagree; you have the wrong numbers `Second 3*(3+8)/2 = 33/2` agree `Third 2*(8+15)/2 = 23` agree `Fourth (15+17)/2 = 16` disagree; should be 15 and 18 (not 15 and 17)
anonymous
  • anonymous
First 2*3*1/3= 3 Fourth (15+18)/2= 33/2
anonymous
  • anonymous
Final is 59.
jim_thompson5910
  • jim_thompson5910
`First 2*3*1/3= 3` agree `Fourth (15+18)/2= 33/2` agree `Final is 59.` agree
anonymous
  • anonymous
I have a similar one but it asks me to find f'(9) should I make a new post?
anonymous
  • anonymous
And as always, thanks.
jim_thompson5910
  • jim_thompson5910
`should I make a new post?` yes please

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