1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lady_Fox [76]
3 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]3 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).

You might be interested in
what is the general form for a number written in scientific notation? what are its practical applications?
patriot [66]
The general form for a number written in scientific notation would be a x 10^n. <span> where a must be between 1 and 10, and n must be an integer. This type of form is useful when dealing with very large numbers or very small numbers. Hope this answers the question. Have a nice day.</span>
4 0
3 years ago
A restaurant needs to plan seating for a party
Maksim231197 [3]

Answer:joe

Step-by-step explanation:

joe mama

8 0
3 years ago
The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington,
Leya [2.2K]
The ratio of cm to mi is 1/30, and we are looking for x/110. Since 1/30 = x/110, 30x=110.
x = 110/30 = 11/3 = 3.7 cm
7 0
3 years ago
A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t
bearhunter [10]

Answer: A. ​(636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level :\alpha: 1-0.95=0.05

Critical value :z_{0.05}=1.96

Sample mean : \overline{x}=645\text{ hours}

Standard deviation : \sigma= 31\text{ hours}

The 95% confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)

Hence,  95% confidence interval for population mean is (636.9, 653.1).

8 0
4 years ago
While digging, John found a large metal bar that weighed 50 ounces. John
Alex777 [14]
60%
If you take the 30% and divide from the 50% you get .6 multiply that by a 100 you get 60.

30/50=.60
.60x100=60
60%
7 0
3 years ago
Other questions:
  • John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts.
    8·1 answer
  • Without computing each​ sum, find which is​ greater, O or​ E, and by how much
    7·1 answer
  • what transformation occurs(vertically stretched, vertically compressed, reflection, translation, rotation, etc) happens when a f
    13·1 answer
  • Need help with 7 geometry questions
    11·2 answers
  • A line has a y-intercept of 8 and a slope of 4. What is its equation in slope-intercept form?
    9·2 answers
  • Help please? Geometry work
    13·1 answer
  • To best estimate the quotient in scientific notation. what number should replace m?
    13·1 answer
  • The diameter of a pizza is 14 inches. What is the circumference of the pizza? Tell you what value you used for pi
    7·2 answers
  • I need some help please.
    12·1 answer
  • Just pleasssssssssss help me.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!