A. for Cal aulate Apeak d M the tue matho de. Ahay yom cal culations Campa re the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:a hof. Shuw gnr Cakuladins
A. Cal culate fn Agaile d
M the tuvo ma tho de.
cal culafions.
Ahaw you
B. Campare the preaisin
Of the tuo me fhads
an
rewit prm your
r
campotations.
Cam pan the
qcer acy of fuo me frndy
c.
reNlt from your
Vu he & tst
* t ditymne
deck
to
F he doub fal vawe
Transcribed Image Text:Note: The true value of Na* concentration in the sample is 0.08375
Deviation
squared
1.764 x 10*1
Absolute
Method 1
Deviation
Relative error (%)
Relative Error (ppt)
error
0.082601
4.2 x 105
-0.0011490
-1.3719
-13.719
0.082621
1.58 x 105
2.4964 × 1010
-0.0011290
-1.3481
-13.481
0.082589
1.62 x 105
2.6244 × 1010
-0.0011610
-1.3863
-13.863
0.082617
1.18 x 105
1.3924 × 1010
-0.0011330
-1.3528
-13.528
0.082598
7.2 × 106
5.184 x 101
-0.0011520
-1.3755
-13.755
SUMS →
5.52 x 10
7.208 × 1010
@ 95% significance level
Confidence
interval
N
1.3424 × 10$
1.6689 × 10
Mean (x)
0.082605
variance
1.802 × 1010
Upper limit
0.082622
Median
0.082601
RSD
0.16251
Lower limit
0.082589
Range
3.2 x 105
CV
0.016251
Confidence limit
0.082605 ± 1.6689 × 10
Absolute error of x
-0.0011448
E, of the x (%)
-1.3669
Deviation
Absolute
Method 2
Deviation
Relative error (%)
Relative Error (ppt)
squared
3.0625 x 108
error
0.08183
1.75 x 104
-0.0019200
-2.2925
-22.925
0.08186
1.45 x 10*
2.1025 x 108
-0.0018900
-2.2567
-22.567
0.08205
4.5 x 105
2.025 x 10
-0.0017000
-2.0299
-20.299
0.08206
5.5 x 105
3.025 x 10°
-2.0179
-20.179
-0.0016900
0.08215
1.45 x 10-4
2.1025 x 108
-0.0016000
-1.9104
-19.104
0.08208
7.5 × 105
5.625 x 10°
-0.0016700
-1.9940
-19.940
SUMS →
6.4 x 10*
8.335 x 10
@ 95% significance level
Confidence
interval
S
1.2911 x 10*
1.3546 x 104
Mean (x)
0.082005
variance
1.667 x 108
Upper limit
0.082140
Median
0.082055
RSD
1.5744
Lower limit
0.081870
Range
3.2 x 10*
CV
0.15744
Confidence limit
0.082005 ± 1.3546 × 10*
Absolute error of x
-0.0017450
E, of the x (%)
-2.0836
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