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zepelin [54]
3 years ago
9

use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3

Mathematics
1 answer:
NISA [10]3 years ago
3 0

Answer:

Approximate solution is 541.

Step-by-step explanation:

y' = 2xy, Δx = 0.4.

Make a table:

x       y            y'            y' Δx + y

1        2           4             4*0.4 +  2 = 3.6   <---this is the new y value.

1.4    3.6        10.08      7.632

1.8    7.632    27.48     18.624

2.2  18.624   81.95      51.70

2.6  51.70    268.85   159.24

3     159.24  955.44    541.4

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Birth weights in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495 g. The Newport
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Answer:

P(2450

And we can find this probability with this difference:

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If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

Step-by-step explanation:

Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:

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Where \mu=3420 and \sigma=495

We are interested on this probability

P(2450

And we can use the z score formula given byÑ

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(2450

And we can find this probability with this difference:

P(-1.96

If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

6 0
3 years ago
Find the value of f(3) for the function f(x)=-4(x+3) f(3)=
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Answer:

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Step-by-step explanation:

<u>Given function</u>

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<u>To find</u>

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4 years ago
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Pavlova-9 [17]

Answer:

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Step-by-step explanation:

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