What is midpoint rule Explain it to me, please.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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What is midpoint rule Explain it to me, please.
176%
P 12:23
Asiacell ll..
+ (x) = 23
bet ween
We
to find
rea using mid point Rule
have
it
D: 2
) For
two rectangleu (n= 2)
fot = 0
to 1 =|
this meons rectangle from
x=0 to net
to X=1
.. width of rectangle = .
height of each rectangle is the value of pn at midpoin .
: Mid points gre
0.25 { 0.75
f(0.25) = (0.23) =
%3D
64
Area =
+* f(025) ++x f(075)
28
27
128
27
64
128
128
Area
32
2) For
four rectangles (n=u)
wi dth of rectengle Ax = b-a - 10 -
4
.: mid pointo are , o.125,0.375,0.625, 0.875
f(0.125) = (0125): 12
f (0 375) = 6.375: 27/512
f(0625) =(0621= 125/512
f(0.875) - 0870)°: 343/512.
%3D
125
512
512
512
I+ 27+ 125+343
496
: 31
512X4
2048
128
?
Transcribed Image Text:176% P 12:23 Asiacell ll.. + (x) = 23 bet ween We to find rea using mid point Rule have it D: 2 ) For two rectangleu (n= 2) fot = 0 to 1 =| this meons rectangle from x=0 to net to X=1 .. width of rectangle = . height of each rectangle is the value of pn at midpoin . : Mid points gre 0.25 { 0.75 f(0.25) = (0.23) = %3D 64 Area = +* f(025) ++x f(075) 28 27 128 27 64 128 128 Area 32 2) For four rectangles (n=u) wi dth of rectengle Ax = b-a - 10 - 4 .: mid pointo are , o.125,0.375,0.625, 0.875 f(0.125) = (0125): 12 f (0 375) = 6.375: 27/512 f(0625) =(0621= 125/512 f(0.875) - 0870)°: 343/512. %3D 125 512 512 512 I+ 27+ 125+343 496 : 31 512X4 2048 128 ?
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