When approximating 1(x)dx using Romberg integration, R94 gives an approximation of order: O(h) (h) This option O This option O(10) O(h) This option O This option

Answers

Answer 1

An approximation of order is O(h⁸). (option a)

In this case, you are interested in the Romberg integration with the R₄,₄ approximation. The notation R₄,₄ indicates that the method has been iterated four times, resulting in a table with four rows and four columns. Now, let's discuss the order of this approximation.

The order of the Romberg integration method corresponds to the rate at which the error decreases as the step size h diminishes. The general formula to determine the order of Romberg integration is O(h²ⁿ)), where n is the number of iterations.

For the R₄,₄ approximation, we have n = 4 because the method has been iterated four times. Plugging this value into the formula, we get O(h²ˣ⁴), which simplifies to O(h⁸). Therefore, the answer is (a) O(h⁸).

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Complete Question:

When approximating ∫f(x)dx using Romberg integration, R₄,₄ gives an approximation of order: a) O(h⁸) b) O(h⁴) c) O(h¹⁰) d) O(h⁶)


Related Questions

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are the coordinates of B' after the translation? (1, 6) (–3, 6) (0, 0) (3, 1).

Answers

The coordinates of point B' are (-3, 6).

Given that

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

We have to determine

What are the coordinates of B' after the translation?

According to the question

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

\(\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)\)

Therefore, the coordinates of point B' are (-3, 6).

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Find the value of x. ​

Find the value of x.

Answers

Answer:

idont have a clue

Step-by-step explanation:sorry

Answer:

38

Step-by-step explanation:

**The sum of all the angles in a triangle is 180 degrees**

So 99 + 43 + x = 180

99 + 43 = 142 degrees

x = 180 - 142 = 38

2) Elizabeth and James are practicing the flipping a bottle trick. Below are how many
times they landed a bottle in a day. Find the Median for each set of numbers. Show
your work!
Elizabeth: 3, 17, 17, 11, 8, 13, 5, 18
James:
19, 8, 1, 17, 14, 2, 7
Median:
Median:

Answers

Elizabeth: 12
James: 8

The circumference () C of a circle is 18 18 centimeters. Which formula can you use to find the radius () r if you know that =2π C = 2 π r ? CLEAR CHECK =2π r = C 2 π =2π r = 2 C π =π2 r = π C 2 =2π

Answers

The formula to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

The formula presented derived from the formula for the circumference of a circle, which is C = 2πr. By rearranging the equation and isolating the radius (r) on one side, we get r = C/(2π).

So, if the circumference (C) of a circle is 18 centimeters, you can use the formula r = C/(2π) to find the radius (r). Plugging in the given value for the circumference (C), we get:

r = 18/(2π)

Simplifying the equation gives:

r = 9/π

Therefore, the radius (r) of the circle is 9/π centimeters.

In conclusion, the formula you can use to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

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a pair of shoes originally priced at $120 are on sale for 89.99 what percent discount was applied ?round to the nearest whole percent.

Answers

i believe it’s discounted 25%

Answer:

25%

Step-by-step explanation:

Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%.  You have 25% ($30) as the discount because 90 is 75% of $120.

a ball is dropped to the ground from a certain height. the expression 25(0.93)x what is the percent of change in the height of the ball after each bounce?

Answers

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble
is selected, it is not replaced. Find the probability.
(Red and then blue)
9. What is the numerator for the probability?
10. What is the denominator for the probability?

There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marbleis selected, it is not replaced.

Answers

Step-by-step explanation:

step 1. we will call the probability P.

step 2. P = (3/6)(1/5) = 3/30 = 1/10.

Chris earns 15 dollars per hour at his internship write an expression to find out how much Chris will earn after X hours how much money will he make after 4 hours

Answers

Answer:

60 and the answer is 60

Step-by-step explanation:

15x4= 60

HELP PLEASE! DON'T LOOK OVER THIS QUESTION I AM DESPERATE!!!!!!!

Jessica has 16 pairs of shoes. She buys 2 additional pair every month. What is the slope in this situation?

Answers

Since she is increasing by 2 pairs every month, the rate of change is 2 so the slope is 2

Answer: I think its 8

Step-by-step explanation:

The slope equals the rise divided by the run: Slope =rise run Slope = rise run . You can determine the slope of a line from its graph by looking at the rise and run.

we are interested in whether there is a difference in the mean age at which men marry and the age at which women marry. we collect data from a random sample of 24 couples and record the age of the man and the age of the woman in the couple. note the data is matched by couple. are the samples dependent or independent? independent samples dependent samples

Answers

the data in this scenario is matched by couple, the samples are dependent, and statistical analyses should take into account this dependency when comparing the mean age at which men marry and the age at which women marry.

In this scenario, where the data is collected from a random sample of 24 couples and the age of the man and the age of the woman in each couple are recorded, the samples are dependent.

The reason the samples are dependent is because the data is matched by couple. Each couple's age is linked or paired with their partner's age, forming dependent pairs. The age of a man in a couple is associated with the age of the woman in that same couple.

In contrast, independent samples would involve collecting data from two separate groups that are not paired or linked in any way. Each group would have its own set of data, and there would be no connection or dependency between the data points in one group and the data points in the other group.

Since the data in this scenario is matched by couple, the samples are dependent, and statistical analyses should take into account this dependency when comparing the mean age at which men marry and the age at which women marry.

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1)In a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of
A)zero.
B)-1.
C)1.
D)any value.

Answers

In a multiple regression model, the error term (often denoted as ε or e) is assumed to be a random variable with a mean of zero.

This assumption is a key component of the regression model and is often referred to as the assumption of zero conditional mean or the assumption of homoscedasticity. The assumption of a mean of zero for the error term means that, on average, the errors have no systematic bias or tendency to overestimate or underestimate the predicted values. It implies that the model's predictions are unbiased and that any deviations from the true values are due to random chance or other factors not captured by the model. The other options presented in the answer choices (B) -1, (C) 1, and (D) any value are incorrect. The mean of the error term is specifically assumed to be zero, as it represents the average deviation of the observed values from the predicted values in the model.

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In circle

B, m




=
2
0

∠CBD=20

and the area of shaded sector =
25
18

18
25

π. Find the length of



CD

. Express your answer as a fraction times

π.

Answers

Answer:

Step-by-step explanation:

b my boy

Find a game on the coolmath.com (links to an external site.) site or another math game site and play it, preferably with a child, family member, or friend. give the name of the game and your experience playing it. was it fun? difficult?

Answers

To find a math game on coolmath.com or another math game site, you can simply go to the site and browse through the available games. Choose a game that seems interesting to you and fits your skill level. I can recommend a popular math game called "Number Munchers" available on coolmathgames.com.

Number Munchers is an educational game where you navigate a little green character around a grid filled with numbers. Your goal is to eat the correct numbers based on the given criteria, such as multiples of a specific number or prime numbers. The game helps improve math skills while being enjoyable.

The individual experiences with games may vary, as everyone has different preferences and levels of difficulty. I suggest trying it out with a child, family member, or friend and discussing your experiences afterward.

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need help please: show that 2^2020+2^2022=5.2^2020​

Answers

The expression 2^2020+2^2022=5.2^2020​ is proved below

How to show the expression

From the question, we have the following parameters that can be used in our computation:

2^2020+2^2022=5.2^2020​

Express 2022 as 2020 + 2

So, we have the following representation

2^2020+2^(2020 + 2) = 5.2^2020​

When expanded, we have

2^2020+2^(2020) * 2^2 = 5.2^2020​

Factor out 2^2020

2^2020 * (1 + 2^2) = 5.2^2020​

Evaluate

2^2020​ * 5 = 5. 2^2020​

This implies that

5.2^2020​ = 5.2^2020​

HEnce, the expression has been proved

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Simplify the polynomial by combining like terms.
17x^2 + 10x^2

Answers

Answer:

27x^2

Step-by-step explanation:

since the x^2's the same, keep that ans then just do 17 +10

A ranch has 575 cows on 25 acres of land. Which rate best represents the relationship between the number of cows and the number of acres?

Answers

the answer should be 23:1 or 23 cows for every 1 acre of land

Peter walks to school each morning. One particular morning he found $10 on the ground. He
stopped at the store and used that money to buy 2 bags of Takis and a bag of Flamin' Hot
Cheetos. The Takis cost $1.79 per bag and the Cheetos cost $1.59. Later that day he bought a
school lunch for $3. He sold one of the bags of Takis to a friend for $2. On the way home he
gave his sister $1.50 to buy candy. What integer represents the money Peter has left from the
$10 he found that morning? *

Answers

Answer:

2.33

Step-by-step explanation:

You are deciding what carb you want to eat for dinner, and you decide to look at the ratio of cooking times between rice to pasta. Rice takes 20 minutes to cook, and pasta takes 12. What is the ratio of cooking times for the rice to pasta?

(Make sure your ratio is simplified for your final answer)

Answers

5 : 3  is the ratio of cooking times for the rice to pasta .

What does a math ratio mean?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.

                                    You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Rice takes 20 minutes to cook

pasta takes 12

the ratio of cooking times for the rice to pasta = 20  :  12

                                                                            = 5 : 3

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Compare two functions: f(x) shown in the table below and g(x) which is described in the following way: Darya is 2 miles east of home and begins jogging east at a constant rate of 5 miles per hour. Let g(x) be her distance away from home and x be the time she has been jogging in hours.
Which of the following statements is NOT true?


f(x) is an exponential function whose base is 3.


f(x) is an exponential growth function that will keep growing larger.


g(x) is an exponential function because Darya keeps getting farther away from home.


g(x) is a linear function because Darya is jogging at a steady rate.

Compare two functions: f(x) shown in the table below and g(x) which is described in the following way:

Answers

f(x) is an exponential function whose output increases exponentially as the input increases, while g(x) is a linear function whose output increases in a constant rate as the input increases.

f(x) is an exponential function, meaning that the output increases exponentially as the input increases. In the table, when x is 1, the output is 3, when x is 2, the output is 9, and when x is 3, the output is 27. This shows that the output increases exponentially as the input increases.

On the other hand, g(x) is a linear function, meaning that the output increases in a constant rate as the input increases. For example, if Darya has been jogging for 1 hour, she will be 2 miles east of home, and if she has been jogging for 2 hours, she will be 7 miles east of home (5 miles per hour x 2 hours). This shows that her distance away from home increases in a constant rate as the input (time) increases.

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Write an equation of the line in slope intercept form (y = mx + b), containing the point (7,- 2) and that is parallel to the line whose equation is y = x - 1. Graph the original line and the parallel line. ​

Write an equation of the line in slope intercept form (y = mx + b), containing the point (7,- 2) and

Answers

Answer:

y=x-9

Or

m=1

b= -9

Step-by-step explanation:

m is slope so we know since it is a parrellel line both lines need the same slope and it’s 1

Now to find y intercept we just fill in the coordinates to find b

-2=7+b

-7 -7

-9=b

y=x-9

Hopes this helps please mark brainliest

What is the decimal equivalent of the 15/8
A 15.8
B 1.875 repeat
c.0.53 repeat
D. 1.875

Answers

Answer:

A) 15.8

Step-by-step explanation:

10/8 = .80

15+ .80 = 15.8

Under her cell phone plan, Ava pays a flat cost of $58 per month and $4 per gigabyte.
She wants to keep her bill at $62.40 per month. How many gigabytes of data can she
use while staying within her budget?

Answers

Equation is
62.4=4x+58

Step 1) add like variables by subtracting 58 from both sides

62.4-58=4x+58-58

4.4=4x

Step 2) divide both sides by 4 to get x

x= 1.1

Answer is 1.1 gigabytes

context switching is required by all preemptive algorithms.
true/false

Answers

The given statement "context switching is required by all preemptive algorithms " is False.

Context switching is not required by all preemptive algorithms. Preemptive algorithms allow the operating system to interrupt the currently executing process and switch to another process.

Context switching involves saving the state of the currently running process and restoring the state of the next process to be executed. While context switching is a common mechanism in preemptive scheduling algorithms, there are non-preemptive algorithms that do not require context switching as they allow processes to run until they voluntarily release the CPU.

So, the statement that context switching is required by all preemptive algorithms is false.

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Lin rode her bike 1 mile in 4 minutes, 2 miles in 8 minutes. Every 1 minute she rode how many miles?

Answers

Answer: \(\frac{1}{4}\)

Step-by-step explanation:

4 minutes in 1 mile

so 1 minute in \(\frac{1}{4}\) mile

please give me a brainliest answer

Given that Justin is collecting data on reaction time, what type of data is he working with?
Select the correct answer below:
A. qualitative
B. discrete quantitative
C. continuous quantitative
D. none of the above

Answers

Since reaction time is measured and not constrained to a specific range of numbers, it is continuous quantitative data.

'What is continuous quantitative?'

A continuous data set is a quantitative data set that represents a scale of measurement that includes fractions and decimals in addition to whole integers. Values like height, weight, length, temperature, and other similar metrics would be included in continuous data sets. They are items that can be quantified in decimals and fractions. A continuous data set typically requires the use of a tool, such as a ruler, measuring tape, scale, or thermometer, to create the numbers.

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Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter (A,B,C,D, or E) in each blank.A. tan(arcsin(x/3)) B. cos( arcsin (x/3)) C. (1/2) sin(2 arcsin(x/3)) D. sin(arctan(x/3)) E. cos(arctan(x/3))

Answers

The corresponding non-trigonometric functions are:A. tan(arcsin(x/3)) - (x/sqrt(9-x^2))B. cos( arcsin (x/3)) - (sqrt(9-x^2)/3)C. (1/2) sin(2 arcsin(x/3)) - (x sqrt(9-x^2))/9D. sin(arctan(x/3)) - (x/sqrt(9+x^2))E. cos(arctan(x/3)) - (3/sqrt(9+x^2))

Trigonometric expressions are the functions of angles. The six trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

Taking the given values, \(\(\frac{x}{3}=\sin(\theta)\)\)

\(\(\theta=\arcsin(\frac{x}{3})\)  \(\frac{x}{3}=\sin(\theta)\)  \(\frac{\sqrt{9-x^2}}{3}=\cos(\theta)\)A. tan(arcsin(x/3))\)

This expression can be evaluated as \(\(\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}=\frac{\frac{x}{3}}{\frac{\sqrt{9-x^2}}{3}}=\frac{x}{\sqrt{9-x^2}}\)B. cos( arcsin (x/3))\)

From the above derivation, we have\(\(\cos(arcsin(x/3))=\frac{\sqrt{9-x^2}}{3}\)C. (1/2) sin(2 arcsin(x/3))We have \(\sin(2\theta)=2\sin(\theta)\cos(\theta)\)\)

From this, we have\(\(\sin(2\arcsin(x/3))=2\sin(\arcsin(x/3))\cos(\arcsin(x/3))\)Then, \(\sin(2\arcsin(x/3))=2\frac{x}{3}\times\frac{\sqrt{9-x^2}}{3}\)\)

Finally,\(\(\frac{1}{2}\sin(2\arcsin(x/3))=\frac{x\sqrt{9-x^2}}{9}\)D. sin(arctan(x/3))Taking the given values, \(\frac{x}{3}=\tan(\theta)\)

From this, we get \(\(\theta=\arct\)an(\frac{x}{3})\)Then, \(\sin(arctan(x/3))=\frac{x}{\sqrt{9+x^2}}\)E. cos(arctan(x/3))\)

Taking the given values,\(\(\frac{x}{3}=\tan(\theta)\)From this, we get \(\theta=\arctan(\frac{x}{3})\)Then, \(\cos(arctan(x/3))=\frac{3}{\sqrt{9+x^2}}\)\)

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Help pls and thank you

Help pls and thank you

Answers

Answer:

what does the graph look like

Step-by-step explanation:

A theater sells adult and children tickets. Adult tickets sell for $10 and child sells for $5. Yesterday they sold off 50 tickets and made $40. How many adult and child tickets did the theater sell?

Answers

The theater sold 30 adult tickets and 20 children tickets.

What is a linear equation?

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

Let, The number of adult tickets be 'x' and the number of children tickets be 'y'.

Therefore, 10x + 5y = 400...(i) and x + y = 50...(ii)×10 ⇒ 10x + 10y = 500...(iii)

Now, Subtracting equation (i) from equation (iii) we have,

5y = 100.

y = 20, and hence x = 30.

So, They have sold 30 adult tickets and 20 children tickets.

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How do you solve angle addition postulate problems?

Answers

Answer:

Segment Addition Postulate

The segment addition postulate in geometry is applicable on a line segment containing three collinear points. The segment addition postulate states that if there are two given points on a line segment A and C, then point B lies on the same line segment somewhere between A and C only if the sum of AB and BC is equal to AC.

Segment Addition Postulate Definition

The segment addition postulate states that if a line segment has two endpoints, A and C, a third point B lies somewhere on the line segment AC if and only if this equation AB + BC = AC is satisfied. Look at the image given below to have a better understanding of this postulate.

square root 2x-7 = 1

Answers

Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

Next, we can isolate the variable by adding 7 to both sides of the equation:

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

The solution is x = 4
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