anonymous
  • anonymous
Define Trapezoid rule calculus
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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tkhunny
  • tkhunny
Draw trapezoids whose area is easily calculated.
anonymous
  • anonymous
im given an table of vlaues
anonymous
  • anonymous
Where you find the area under the curve by creating multiple trapezoids and calculating each area of the figures individually and then adding them up to get the total.

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Serenity74
  • Serenity74
Ah took dat test anyways 1/2 (h) (b1+b2) You divide the intervals (into how many they ask you for)
anonymous
  • anonymous
Suppose that f(2) = 4, and that the table below gives values of f' for x in the interval [0, 12] x 0 2 4 6 8 10 12 f'(x) −19 −21 −25 −28 −29 −28 −25 estimate f(8)
tkhunny
  • tkhunny
So, h = 2...
anonymous
  • anonymous
yes
tkhunny
  • tkhunny
f(2) = 4 What is the average slope from 2 to 4?
Serenity74
  • Serenity74
@tkhunny not to be rude or anything but it's not called an average slope cause you just subtract the x variables from the other one.
Serenity74
  • Serenity74
I am sorry if I came off rude, I didn't mean to.
tkhunny
  • tkhunny
You're not being rude. We are supplied with values of f'(x). We have little information concerning f(x). We need the average slope between 2 and 4.
tkhunny
  • tkhunny
Not really the average slope, but some sort of mean value, since \(f'(c) = \dfrac{f(b)-f(a)}{b-a}\) for SOME value of c in (a,b). We're assuming, if you like, that c = 1/2.
anonymous
  • anonymous
my computer was lagging, however i have gotten the average and im lost on which values to use so far i have \[4+\int\limits_{2}^{8} f'(x)d(x)\]
anonymous
  • anonymous
im stuck on what to do from here
tkhunny
  • tkhunny
\(\int_{a}^{c}g(x)\;dx = \int_{a}^{b}g(x)\;dx + \int_{b}^{c}g(x)\;dx\) for a < b < c
tkhunny
  • tkhunny
The assumption in the formula is c = a. Simple as that. It just leads to a different approximation.

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