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Lady_Fox [76]
2 years ago
13

Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.

Mathematics
1 answer:
Juliette [100K]2 years ago
4 0

Answer:

  see below for the tables

Step-by-step explanation:

The differential equation is separable, so the solution is ...

  \displaystyle\dfrac{dy}{dx}=2xy\\\\\int{\dfrac{dy}{y}}=\int{2x}\,dx\\\\\ln{y}=x^2+C\\\\\text{Considering the initial condition, $C=-1$}\\\\\boxed{y=e^{x^2-1}}

__

The values for yn are y+y'·h = y+2xyh. We take the "absolute error" to be the (signed) difference between the calculated yn and the actual value y(x).

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5-2 ( 4a + 1 ) + 3a= 13<br><br> a. a= - 6/5<br> b. a=2<br> c. a= 2/3<br> d. a= -2
Oksi-84 [34.3K]

Answer:

a=2/3

Step-by-step explanation:

3(4a+1)+3a=13

12a+3+3a=13

15a+3=13

15a=10

a=2/3

8 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
andre [41]

Answer:

7 feet

Step-by-step explanation:

Pythagorean theorem

sqrt(4.5^2 + 5.3^2) = hypotenuse

sqrt(48.34) = hypotenuse

6.95269732 = hypotenuse

round to nearest tenth

7 feet = the length of the hypotenuse

5 0
2 years ago
2 _<br> 3 --- + 2.3=<br> 3<br><br><br> giving 25 points for the right answer asap
meriva

3 \frac{2}{3}  + 2.3 \\\implies 3 \frac{2}{3} + \frac{23}{10} \\\implies \frac{11}{3} + \frac{23}{10} \\\implies \frac{110+69}{30} \implies \frac{179}{30}

8 0
3 years ago
Read 2 more answers
What is the significance of the value 0.31 in the context of the data? A It represents the probability that a student in Mr. Lop
Dvinal [7]

Step-by-step explanation:

The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference

6 0
2 years ago
QUESTION 1<br> Given the equation of the circle (x + 7) + (y – 5) 2 = 64, identify the center.
o-na [289]

Answer:

center=(-7,5)

Step-by-step explanation:

The center form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k).

you can find center by making equal to zero each term, then:

x+7 = 0

x=-7

y-5 = 0

y=5

then the center is (-7,5).

6 0
2 years ago
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