f'uo) -22:2294 W = 0.4748 2nd Stetzation flui) = fla4748) = 31e flui)= 0.0044 f'ni)= flouT48) = -31e .04748 %3D + sin(3x(40.474e))-24 co4749 + 3 cos (1:424) = -22:5772 0.4748-0.0044 0.475 %3D -22.5172 Stetzation -o.475 %3D eluz) =f(0.475) = 31e + sin(3×0415)24= -0.9653 finz) = flo425)= -37e + 305(3x-475) -0475 - 2D. 0106 = 0.475- l-0.9653) 1. D.4268 %3D (-20.0106) yth Stetration ..4268 flus)%=fL0.4268)= 37e t sinl3x.4268)-24=0.16e3 e'ne) =p'L0.426s) = -37é .4268 + 305 (3x.426= -2-1467 %3D .4268 -L0.1683) O.4347 L-21-1467) 11727

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 28E
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I attempted a question using Newton Raphson method. I want to know if the question I attempted is right or wrong. If it is wrong, kindly explain where is the mistake.

) = 31e + Sin(3x0.475)$24= -0.9653
gst Otetralion.
.0.5
fluo) = PL0.S)= 37€ + sin (IS) -24= -0-5609
f''no) =p'los) = -37e +30s(IS)
-0.5
%3D
-22.2294
no-
/2- (-0.5609)
%3D
0.4748
f''no)
-22-2294
MI = 0.4748
nd otetration
.04748
fui)= flo4n48) = 31e
flui)= 0.0044
%3D
+ Sin(3x(40.4742)) -24
co4749
+ 3 cos (!:424) = -22:572
%3D
0.4748-0.0044
0.475
%3D
f'lui)
-22.5172
Otetration
-o.475
fluz) = fL0.475) = 31e + sin(3×O415)24= -0.9653
-0475
fine)=
flou2s)= -37e
+ 360s (3x.475)
= - 2D. O106
%3D
= 0.475--0.9653) - 0.4268
(-20.0106)
uth Stetration
.4268
flus)%=fL0.4268)= 37e + sinl3x.4268)-24=0.16P3
f'ns)=p'lo.4268) = -37é
- .4268
+ 30s(3x.426)= -21·1467
.4268 - (0.1683)
0 ५3५२
%3D
(-21.1467)
Transcribed Image Text:) = 31e + Sin(3x0.475)$24= -0.9653 gst Otetralion. .0.5 fluo) = PL0.S)= 37€ + sin (IS) -24= -0-5609 f''no) =p'los) = -37e +30s(IS) -0.5 %3D -22.2294 no- /2- (-0.5609) %3D 0.4748 f''no) -22-2294 MI = 0.4748 nd otetration .04748 fui)= flo4n48) = 31e flui)= 0.0044 %3D + Sin(3x(40.4742)) -24 co4749 + 3 cos (!:424) = -22:572 %3D 0.4748-0.0044 0.475 %3D f'lui) -22.5172 Otetration -o.475 fluz) = fL0.475) = 31e + sin(3×O415)24= -0.9653 -0475 fine)= flou2s)= -37e + 360s (3x.475) = - 2D. O106 %3D = 0.475--0.9653) - 0.4268 (-20.0106) uth Stetration .4268 flus)%=fL0.4268)= 37e + sinl3x.4268)-24=0.16P3 f'ns)=p'lo.4268) = -37é - .4268 + 30s(3x.426)= -21·1467 .4268 - (0.1683) 0 ५3५२ %3D (-21.1467)
+ Sin 3u -BEO
using
N-R Method
37e + Sin 3u -24 =O
Let ecn)=
37e + Sin 3u-24
%3D
f'n)=
Finding
putling
flu)e 37e
-37e"+ 3l0s (3u)
%3D
Interval
+ Sin 3u- 24 =) 37€t Sinl3x0)-24 = 13
|
putting n=1
fu)= 37é + sin 3n-24:=>
37e't sin 3 - 24=.-10-2473
%3D
Hence
R0ot
lies blw
O and 1.
/2
%3D
Transcribed Image Text:+ Sin 3u -BEO using N-R Method 37e + Sin 3u -24 =O Let ecn)= 37e + Sin 3u-24 %3D f'n)= Finding putling flu)e 37e -37e"+ 3l0s (3u) %3D Interval + Sin 3u- 24 =) 37€t Sinl3x0)-24 = 13 | putting n=1 fu)= 37é + sin 3n-24:=> 37e't sin 3 - 24=.-10-2473 %3D Hence R0ot lies blw O and 1. /2 %3D
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