Погрешность функции

Әл-Фараби атындағы Қазақ Ұлттық Университеті

[pic 1]

Тақырыбы: Лабораторная работа №2. Погрешность функции

                                                                         Орындаған: Майданбекқызы Ш

                                                                         Тексерген: Алдиярова А.Н.

Алматы 2021

[pic 2]№1 вариант

1.

2. a=2,8546 δ=0.3%         [pic 3]

a1=2,85;  1=окр=0.0046+0.0086=0.0132>0.01[pic 4][pic 5]

3. a=42,884   =0.001[pic 6]

δ a=0.00002=0.002%[pic 7]

4. X= где a=4,3(, b=17,2(, c=8,2(, m=12,417(, n=8,37(.[pic 8][pic 9][pic 10][pic 11][pic 12][pic 13]

a+b=4,3(+ 17,2(=21,5([pic 14][pic 15][pic 16]

m-n=12,417(- 8,37(=4,047([pic 17][pic 18][pic 19]

X==1897,75[pic 20]

δX==0,0198=1,978%[pic 21]

[pic 22]

Ответ: X=1897,75(,  δX=1,978%[pic 23]

№2 вариант

[pic 24]1. 

2. X=6,4257(,[pic 25]

δX= , [pic 26]

δX=[pic 27]

3. a=0.537   =0.001[pic 28]

δ a=0.0019=0.19%[pic 29]

4. X= , a=13.5(, b=3.7(, c=34.5(, m=4.22(, d=23.725(.[pic 30][pic 31][pic 32][pic 33][pic 34][pic 35]

a+b=13.5(+ 3.7(=17.2([pic 36][pic 37][pic 38]

c-d= 34.5(- 23.725(=10.775([pic 39][pic 40][pic 41]

X=[pic 42]

δX==0.65%.[pic 43]

[pic 44]

Ответ: X=120.19(,  δX=0.65%[pic 45]

№3 вариант

1. 

[pic 46]

2. 0.5748([pic 47]

δX= , [pic 48]

δX=[pic 49]

3. a=2.043   =0.001[pic 50]

δ a=0.0005=0.05%[pic 51]

4. X= , a=2.754(, b=11.7(, c=10.536(, m=0.56 (, d=6.32(.[pic 52][pic 53][pic 54][pic 55][pic 56][pic 57]

a+b=2.754(+ 11.7(=14.454([pic 58][pic 59][pic 60]

c-d=10.536(-6.32(=4.216([pic 61][pic 62][pic 63]

X==0.46[pic 64]

δX==0.015=1.5%[pic 65]

[pic 66]

Ответ: X=0.46(,  δX=1.5%[pic 67]

№4 вариант

[pic 68]1. 

2. a=0.34484; δ=0.4%  [pic 69]

a1=0.345;  1=окр=0.00016+0.0014=0.00156<0.01[pic 70][pic 71]

3. a=0.745   =0.001[pic 72]

δ a=0.0013=0.13%[pic 73]

4. X= , a=23.16(, b=8.23(, c=145.5(, m=0.28 (, d=28.6(.[pic 74][pic 75][pic 76][pic 77][pic 78][pic 79]

a+b=23.16(+ 8.23(=31.39(,[pic 80][pic 81][pic 82]

c-d=145.5(- 28.6(=116.9(,[pic 83][pic 84][pic 85]

X==0.813[pic 86]

δX==0.0215=2.15%[pic 87]

[pic 88]

Ответ: X=0.813(,  δX=2.15%[pic 89]

№5 вариант

[pic 90]1. 

2. a=10.8441; δ=0.5%  [pic 91]

a1=10.84;  1=окр=0.0041+0.054=0.0581>0.01[pic 92][pic 93]

3. a=0.288   =0.001[pic 94]

δ a=0.0035=0.35%[pic 95]

4. X= , a=27.16(, b=5.03(, c=3.6(, m=12.375 (, n=86.2(.[pic 96][pic 97][pic 98][pic 99][pic 100][pic 101]

a-b=27.16(- 5.03(=22.13(,[pic 102][pic 103][pic 104]

m+n=12.375 (+86.2(=98.575(,[pic 105][pic 106][pic 107]