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S2n Calculation Problem for September 28, 2008 - Prof. Cameron Parker, Assignments of Calculus

University of San Diego (USD)Calculus
Prof. Cameron Parker

A problem for calculating the value of s2n, given the definitions of tn and mn, and using the provided hint. The problem involves finding the relationship between s2n and the function f(x) and its values at specific points.

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

koofers-user-l4h
koofers-user-l4h 🇺🇸

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Challenge Problem for September 28, 2008
1. In class we defined S2n=Tn+ 2Mn
3. Show that
S2n=∆x
3(f(x0)+4f(x1)+2f(x2)+4f(x3) + · · · + 2f(x2n−2)+4f(x2n−1) + f(2xn)) .
Hint: Remember the number of subintervals in Tn,Mnand S2nare different hence ∆xis different.
1

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1. In class we defined Hint: Remember the number of subintervals in S 2 n = ∆ 3 x (f (x S 0 ) + 4 2 nChallenge Problem for September 28, 2008 = fT (nx^1 + 2) + 2 3 Mfn (. Show thatx 2 ) + 4f ( xT 3 n) +, M · · ·n and + 2 Sf 2 (nx 2 are different hence ∆n− 2 ) + 4f (x 2 n− 1 ) + fx (2 is different.xn)).