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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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: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
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
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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