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Molodets [167]
3 years ago
15

10 пожалуйста решите

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Answer:    1/22

Step-by-step explanation:

Вероятность вытащить оба белых шара есть умножение вероятностей 2-х событий:

Р(белый,белый)=Р(первым выберут белый шар)*Р(вторым выберут белый шар)

Р(первым выберут белый шар)=3/12=1/4

Но после того как выбрали белый шар , остались только 2 белых шара и всего осталось 11 шаров.  Поэтому

Р(вторым выберут белый шар)= 2/11

Р(белый,белый)=1/4*2/11=2/44=1/22

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Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y
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Answer:

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

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y'(x)= x^2y(x)-\frac12y^2(x)

Putting the value of y'(x) in equation (1)

y(x+h)\approx y(x) +h(x^2y(x)-\frac12y^2(x))

Substituting x =0 and h= 0.2

y(0+0.2)\approx y(0)+0.2[0\times y(0)-\frac12 (y(0))^2]

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Substituting x =0.4 and h= 0.2

y(0.4+0.2)\approx y(0.4)+0.2[(0.4)^2\times y(0.4)-\frac12 (y(0.4))^2]

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Substituting x =0.6 and h= 0.2

y(0.6+0.2)\approx y(0.6)+0.2[(0.6)^2\times y(0.6)-\frac12 (y(0.6))^2]

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\Rightarrow y(1.0)\approx 0.9152

Therefore the value of y(1)= 0.9152.

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