Romberg integration for approximating Sof(x)dx gives R21 = 5 and R22 = 3 then f(1) = 3.815 4.01 -0.5 1.68

Answers

Answer 1

The main answer is: f(1) = 3.815.

The Romberg integration method is a numerical technique used to approximate definite integrals. It involves using a combination of repeated trapezoidal rule calculations to refine the approximation.

Given that R21 = 5 and R22 = 3, we can deduce that the Romberg integration process has been performed with two levels of refinement.

In Romberg integration, the subscript of Rxy represents the level of refinement, where x represents the number of intervals used, and y represents the level of the refinement.

Therefore, R21 corresponds to the result obtained after one level of refinement, and R22 corresponds to the result after two levels of refinement.

To find the value of f(1), we look at the diagonal elements of the Romberg integration table. The diagonal elements represent the most accurate approximations available at each refinement level.

From the given information, we have:

R21 = 5, which represents the approximation of the integral after one level of refinement.

R22 = 3, which represents the approximation of the integral after two levels of refinement.

Since we are interested in finding f(1), we look at the first element of the diagonal in the second row (R21). This value corresponds to the approximation of the integral using two intervals. Therefore, f(1) is equal to 3.815.

Hence, the answer is: f(1) = 3.815.

The Romberg integration is a numerical method used to approximate definite integrals. The given values R21 = 5 and R22 = 3 indicate the results obtained after one and two levels of refinement, respectively. By looking at the diagonal elements of the Romberg integration table, we find that f(1) is equal to 3.815.

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Related Questions

fill in the blank.one dimension, ________blank, is used to classify social media and is shown in figure 20-1 on the x-axis, ranging from "words" to "animation."

Answers

One dimension, called "media richness," is used to classify social media and is shown on the x-axis of Figure 20-1. It ranges from "words" to "animation" and represents the level of interactivity and information.

In the context of social media, the concept of media richness refers to the degree of richness or complexity in the communication channel. It is a measure of the ability of a medium to convey information effectively, facilitate understanding, and support interaction between users.

Media richness is influenced by factors such as the presence of nonverbal cues, immediate feedback, personalization, and the capacity for multiple communication channels. Figure 20-1 likely represents a graphical representation or classification of social media based on their media richness.

The x-axis of the figure represents the continuum of media richness, ranging from "words" to "animation." At one end of the spectrum, "words" represent text-based communication platforms that primarily rely on written content. As we move towards the other end, "animation" represents media that incorporate rich visual and interactive elements such as videos, graphics, and multimedia features.

By placing different social media platforms along this dimension, Figure 20-1 provides a visual representation of their relative media richness levels. It helps in understanding the varying capabilities and characteristics of different social media platforms and their potential for communication, engagement, and information sharing.

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Hi, can someone please help, and possibly explain the answer please.

Answers

Answer:

[tex]x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex] when the equation is [tex]0=ax^2+bx+c[/tex]

The given equation is [tex]1=-2x+3x^2+1[/tex]. Let's first arrange this so its format looks like [tex]y=ax^2+bx+c[/tex]:

[tex]1=-2x+3x^2+1[/tex]

[tex]1=3x^2-2x+1[/tex]

Subtract 1 from both sides of the equation

[tex]1-1=3x^2-2x+1-1\\0=3x^2-2x+0[/tex]

Now, we can easily identify 3 as a, -2 as b and 0 as c. Plug these into the quadratic formula:

[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}[/tex]

I hope this helps!  

Use the data from the dot plot below to answer the question.

How many students from this data sample have three siblings?






A. Three students have three siblings


B. One student has three siblings


C. Four students have three siblings


D. Two students have three siblings

Answers

I think it’s C but i’m not that sure


The probability of having a pet is 40%, if you knew that anyone
who has a pet visits a vet (vet means animals' doctor)
with probability =90%. Then the probability of having a pet and
visiting a vet is

Answers

The probability of both having a pet and visiting a vet is 0.36 or 36%.

To find the probability of both having a pet and visiting a vet, we multiply the probability of having a pet by the probability of visiting a vet given that the person has a pet.

Let:

P(pet) = probability of having a pet = 40% = 0.40

P(vet | pet) = probability of visiting a vet given that the person has a pet = 90% = 0.90

The probability of having a pet and visiting a vet is given by:

P(pet and vet) = P(pet) * P(vet | pet)

P(pet and vet) = 0.40 * 0.90

P(pet and vet) = 0.36

Therefore, the probability of both having a pet and visiting a vet is 0.36 or 36%.

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7) Determine if the polynomials below are in the point polynomial time Justynach an! (points ==-+ 2022 in Riel (b) 3 points / 20021011.101 +2022 in C[x]. (c) 3 points] /= x+ 2022 in F7649[*] (Note that 7649 is prime. (d) pon-2 +3 in (e) [4 points] / -6° - 21x + 700 in Q[*]. (f) 14 points) f = 625x3 - 6633r2 + 86- 8855 in Qlur).

Answers

Let us check the given polynomials for point polynomial time as follows:

(a)  Justynach an! (points ==-+ 2022 in Riel) This polynomial is not in point polynomial time because there is no condition on the polynomial and points.

(b)  3 points / 20021011.101 +2022 in C[x] This polynomial is not in point polynomial time because the given points are not on the polynomial.

(c)  /= x+ 2022 in F7649[*] This polynomial is in point polynomial time because it is a monic polynomial and the given point is on the polynomial.

(d) pon-2 +3 This polynomial is not in point polynomial time because it is a constant polynomial and there are no points to verify.

(e)  [4 points] / -6° - 21x + 700 in Q[*] This polynomial is in point polynomial time because all the points are on the polynomial.

(f)  f = 625x3 - 6633r2 + 86- 8855 in Qlur. This polynomial is in point polynomial time because all the points are on the polynomial.

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PLS HELP! I'M SO STUCK!!

Answers

Answer:

E

Step-by-step explanation:

i just kinda figured it out

- Andrew plays on a basketball team. In his final game, he scored of
2/5
the total number of points his team scored. If his team scored a total
of 35 total points, how many points did Andrew score?
h
A:35
B:14
C:21
D:25

Answers

Answer: 14

Step-by-step explanation:

to find the answer we must figure out what half of 35 points is because Andrew scored 2/5 of 35.

we can write the equation like this:

2/5 of 35 = Andrew's points

2/5 of 35 = 14

therefore 2/5 of 35 is 14

therefore Andrew scored 14 points.

" Let set A be the set of all real numbers. For all x and y in A, xRy | xl sy. Determine if the relation is each of these and explain why or why not. (a) Reflexive YES NO (b) Symmetric YES NO
"

Answers

Relation of each of these are:

(a) Reflexive: NO

(b) Symmetric: YES

(a) Reflexive: No.

The relation R is not reflexive because there exist elements x in set A for which x is not related to itself. For example, if we take x = 0, then 0 is not less than or equal to 0, so xRx does not hold.

(b) Symmetric: Yes.

The relation R is symmetric because for any x and y in set A, if xRy holds, then yRx also holds. This is because if x is less than or equal to y, then y is greater than or equal to x, satisfying the symmetry property of the relation.

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Someone plz help me giving brainliest

Answers

Answer

Use the fact that 45 times 1/9 = 5. Them multiply by 8 to get the answer, 40.

Step-by-step explanation:

A 13 meter ladder is leaning against a wall. It reaches 12 meters up the wall How far is the base of the ladder from the base of the wal

Answers

Answer:

5

Step-by-step explanation:

Pythagorean Theorem. The 13-meter ladder is leaning against a wall, so it's the hypotenuse.

It reaches 12 meters up, so 12 is one leg.

[tex]a^{2} +b^{2}=c^{2}[/tex]

[tex]a^{2}+12^{2}=13^{2}[/tex]

[tex]a^{2}+144=169[/tex]

[tex]a^{2}=25[/tex]

a = 5

The scale on a drawing is 1 cm = 4.5 meters. If the length of the drawing is 6.2 cm, what is the actual length in meters?

Answers

Answer:

I think the awnser is 27.9

Step-by-step explanation:

4.5*6.2=27.9

99 times the sum of v and 9

Answers

Answer:

Step-by-step explanation:

99(v + 9) is all you need here.


Given the arithmetic sequence of -21,-6,9,24,... , find an explicit rule for the nth term

Answers

Answer:

n = -21 + 15(n-1)

44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)

Answers

Answer:

cgal to the store with me for the wounds on the number and the kids to today because I'm so 4

Please help me with this test I’m so bad at math

Answers

Answer:

4 is 13.75 and 5 is 14.704

Step-by-step explanation:

If $120.99 is charged for 654 units of electricity used,find the cost of one unit of electricity

Answers

Answer:    0.185

Step-by-step explanation:

Divide 120.99 and 654:

120.99÷654=0.185

So the final answer is 0.185 units.

5⁄8 ÷ 3⁄8 =________ pls help me

Answers

Answer:

1 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

1 2/3

Step-by-step explanation:

First, you rewrite 5/8÷3/8 as a multiplication problem: 5/8*8/3. Now you simply multiply both numerators and denominators: 5x8/8x3 which equals 40/24. So your final answer will be 40/24 or 1 16/24 which equals 1 2/3.

В обращении находится 250 карандашей по 8 д. ед. за единицу, 500 ручек по 12 д. ед. за единицу, 2000 тетрадей по 10 д. ед. за единицу и 412 дневников по 14 д. ед. за единицу. Найти количество денег необходимых для обращения.

Answers

Answer:

Ты русский? на этом сайте только американцы они тебе не помогут ни чем

Step-by-step explanation:

A formula of order for approximating the first derivative of a function f gives FO) - 4.50557 for h=1 f(0) - 2.09702 for h=0.5 By using Richardson's extrapolation on the above values, a better approximation of '(0) is: 0.97318 1.00177

Answers

A better approximation of f'(0) using Richardson's extrapolation is -6.91412.

To find a better approximation of f'(0) using Richardson's extrapolation, we can apply the formula:

[tex]R(1,1) = f'(h) + (f'(h) - f'(2h))/((1/2)^1 - 1)[/tex], where h is the step size.

Given the values:

f'(1) = -4.50557 (for h = 1)

f'(0.5) = -2.09702 (for h = 0.5)

Let's calculate R(1,1):

[tex]R(1,1) = f'(1) + (f'(1) - f'(0.5))/((1/2)^1 - 1)\\ = -4.50557 + (-4.50557 - (-2.09702))/(2 - 1)\\ = -4.50557 + (-2.40855)/1\\ = -4.50557 - 2.40855\\ = -6.91412.[/tex]

Therefore, a better approximation of f'(0) using Richardson's extrapolation is -6.91412.

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Can you construct a triangle that has side lengths 4 m, 5 m, and 9 m? yes no

Answers

Answer:

Yes

Step-by-step explanation:

A triangle can have any side lengths as long as they all touch to make a triangle

Answer:

yes

Step-by-step explanation:

you just had to divide then subtract

Solve the following quadratic equation for all values of xx in simplest form. 16+2x²=30​

Answers


Link Provided in other answer is a SCAM !!! Do NOT CLICK ON IT !!!

the Question is on the image

Answers

Probably is 64% I just think it’s is but I’m not sure

A Ferris wheel car moves from point C to point D on the circle shown below:

Circle A is shown with points C and D on the circle and the central angle C A D marked 42 degrees. The diameter is 30 feet.

HELP NOW!! 100 POINTS!!! What is the arc length the car traveled, to the nearest hundredth?

7.91 feet
8.32 feet
10.99 feet
11.89 feet

Answers

Answer:

10.99

Step-by-step explanation:

Took the test and it said it was this one :)

The arc length of the car traveled, to the nearest hundredth is 10.99feet

The formula for calculating the length of an arc is expressed as:

L = theta/360 × 2pi r

Given that

Radius r = d/2 = 30/2 =15ft

theta = 42 degrees

pi = 3.14

Substitute the given values into the formula as shown

L = 42/360×2(3.14)(15)

L = 42/360×94.2

L = 3956.4/360

L = 10.99feet

This shows that the arc length of the car traveled, to the nearest hundredth is 10.99feet

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Guided Practice
Fill in the blank.

(z−4)(2z+1)=[tex]2z^{2}[/tex]− ___ z−4


A.
7z


B.
9


C.
7

Answers

Answer:  Gradpoint answer

C.

7

Step-by-step explanation:  Math.way answer

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

z = 0 ,  7/ 4

Decimal Form:

z = 0 ,  1.75

Mixed Number Form:

z = 0 ,  1  3/ 4

Answer:

7

Step-by-step explanation:

(z – 4)(2z + 1) = z(2z + 1) – 4(2z + 1) = 2z2 + z – 8z – 4 = 2z2 – 7z – 4

The second term is –7z, so 7 fills in the blank.

Using the Bisection Method on the interval [-1, 7], how many iterations are required to guarantee a maximum error, e = 0.01?

Answers

To guarantee a maximum error of e = 0.01 using the Bisection Method on the interval [-1, 7], approximately 8 iterations are required.

The Bisection Method is an iterative numerical method used to find the root of a continuous function within a given interval. It repeatedly bisects the interval and determines in which subinterval the root lies, based on the sign change of the function. The process continues until the desired accuracy is achieved.

In this case, the interval is [-1, 7] and the maximum error allowed is e = 0.01. The number of iterations required can be determined by finding the number of times the interval can be halved until its length becomes less than or equal to the maximum error.

Initially, the length of the interval is 7 - (-1) = 8. To achieve an error of 0.01, the interval needs to be halved 3 times. After each halving, the length of the interval is reduced by a factor of 1/2. Thus, after 3 iterations, the length becomes 8 * (1/2)^3 = 1.

Since the length of the interval is now less than the maximum error, we can conclude that approximately 8 iterations are required to guarantee a maximum error of 0.01 using the Bisection Method on the interval [-1, 7].

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Let T be a linear transformation given by (v) = Av . A = [2 1 3, 1 1 0,0 1 -3] a) Basis for the kernel of T b) Basis for the range of T. c) The rank of T. d) The nullity of T.

Answers

(a) The basis for the kernel of T is {(-1, 1, 1)}. (b) The basis for the range of T is {(2, 1, 0), (1, 1, 1)}. (c) The rank of T is 2. (d) The nullity of T is 1.

(a) To find the basis for the kernel of T, we need to solve the equation T(v) = 0. This is equivalent to finding the null space of the matrix A. By performing row reduction on A, we find that the basis for the kernel is {(-1, 1, 1)}.

(b) The range of T is the set of all possible outputs of T. To find the basis for the range, we can consider the columns of A that correspond to the pivot positions after row reduction. In this case, the columns {2, 1} and {1, 1} correspond to the pivot positions, so the basis for the range is {(2, 1, 0), (1, 1, 1)}.

(c) The rank of T is the dimension of the range, which is the number of linearly independent vectors in the basis for the range. In this case, the rank of T is 2.

(d) The nullity of T is the dimension of the kernel, which is the number of linearly independent vectors in the basis for the kernel. In this case, the nullity of T is 1.

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Help me please! I will give 20 points and Brainliest!

Answers

J. 5a + 8 I think
I just added everything together

9. Find x. Round answer to nearest whole number.
A) 58
B) 59
C) 60
D) 61

Answers

Answer:

the answer. is 60 because you round of 64

(1 point) how many different ways can a race with 8 runners be completed? (assume there is no tie.)

Answers

There are 40,320 different ways the race with 8 runners can be completed.

To determine the number of different ways a race with 8 runners can be completed, we can use the concept of permutations.

In a race with no tie, the order in which the runners finish matters. We want to find the number of permutations of 8 runners.

The formula to calculate permutations is given by n!, where n represents the number of items being permuted.

In this case, there are 8 runners, so the number of different ways the race can be completed is:

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320.

Each permutation represents a unique arrangement of the runners crossing the finish line. By considering the order of finish for each runner, we account for all possible outcomes in the race.

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Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer C

Step-by-step explanation:

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Maurice ran out of gas. The gas tank in his car can hold 13.6 gallons of gas, but the gas cans only hold 3.4 gallons. How many gas cans would he need to fill his tank The Sweetwater Candy Company would like to buy a new machine that would automatically "dip" chocolates. The dipping operation currently is done largely by hand. The machine the company is considering costs $200,000. The manufacturer estimates that the machine would be usable for five years but would require the replacement of several key parts at the end of the third year. These parts would cost $10,100, including installation. After five years, the machine could be sold for $9,000. The company estimates that the cost to operate the machine will be $8,100 per year. The present method of dipping chocolates costs $41,000 per year. In addition to reducing costs, the new machine will increase production by 8,000 boxes of chocolates per year. The company realizes a contribution margin of $1.40 per box. 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She said that African Americans were every bit as intelligent as white people. C. She spoke in front of audiences made up of both men and women. D. She married Theodore Weld. Not yet anvered Which of the following What if analysis scenarios can be solved using a two way data and out of 20 ago Select one: O a. to determine how the monthly payments will depend on the amount borrowed O b. to display how the profit of a lemonade stand will change when the price per cup and the count per cup chama Pc None of the mentioned d. to display how the demand and the profit of a lemonade stand change when the price per cup changes tion 13 Not yet answered Marked out Consider a duopoly in which each firm has a best response function given by: qi = 400 - (1/2)qo , where qi is the output of firm i and qo is the output of the other firm. Suppose the firms form a cartel, whereby each firm agrees to produce one half the monopoly output. 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