What is midpoint rule Explain it to me, please.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
icon
Related questions
Question
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 ?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Numerical Integration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill