Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin x = x

Answers

Answer 1

Answer:

[tex]x \approx 2.278863[/tex]

Step-by-step explanation:

Required

The positive root of [tex]3\sin(x) = x[/tex]

Equate to 0

[tex]0 = x -3\sin(x)[/tex]

So, we have our function to be:

[tex]h(x) = x -3\sin(x)[/tex]

Differentiate the above function:

[tex]h'(x) = 1 -3\cos(x)[/tex]

Using Newton's method of approximation, we have:

[tex]x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}[/tex]

Plot the graph of [tex]h(x) = x -3\sin(x)[/tex] to get [tex]x_1[/tex] --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

[tex]x_1 = 2.2[/tex]

So, we have:

[tex]x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}[/tex]

[tex]x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}[/tex]

[tex]x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641[/tex]

The process will be repeated until the digit in the 6th decimal place remains unchanged

[tex]x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654[/tex]

[tex]x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627[/tex]

[tex]x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627[/tex]

Hence:

[tex]x \approx 2.278863[/tex]

Use Newtons Method To Approximate The Indicated Root Of The Equation Correct To Six Decimal Places. The

Related Questions

Need Help ASAP!!!!!!!!

Answers

Answer:

The last one the one with (-6,00) and Range (5,00)

(y=179x
(y=105x+2046
Solve using elimination method and graph plss
Helpppp

Answers

Answer:

[tex]x= \frac{2046}{74}\\\\y = \frac{366234}{74}[/tex]

Step-by-step explanation:

[tex]y = 179x\ ----- ( 1 ) \\\\y= 105x + 2046 \ ----- (2)\\\\[/tex]

[tex](1) => y - 179x = 0 \ ----- ( 3)\\\\(2) => y - 105x = 2046 \ ------ ( 4)[/tex]

[tex]( 3 ) - ( 4) =>\\\\(-179x +105x ) = 0 - 2046\\\\-74x = -2046\\\\x = \frac{2046}{74}[/tex]

[tex]Substitute \ x \ in ( 1 )\\\\y = 179x \\\\y = 179 \times \frac{2046}{74} = \frac{366234}{74}[/tex]

Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = - ⅔ x + 3. (10 points)
A. y = 3 over 2x − 3
B. y = 3 over 2x + 3
C. y = -2 over 3 x + 23 over 3
D. y = -2 over 3 x - 23 over 3

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

Can y’all help me on question 2?!

Answers

Answer:

4.5

Step-by-step explanation:

18 divided by 4 equals 4.5

What is the value of X

A. x=20

B. x=15

C. x=10

D. x=5

Answers

The answer is A) x=20.

This is because (x+5) + (7x-5) + x = 180

what is the slope of the line that passes through these two points?​

Answers

Answer:

slope of the line is 0

Step-by-step explanation:

given points are:

(-3 , 2)=(x1 , y1)

(4 , 2)=(x2 , y2)

slope =y2 - y1/x2 - x1

=2-2/4-(-3)

=0/4+3

=0/7

=0

The sum of two integers is 1. Their difference is 7. What are
the two integers?
A
6 and -1
B 2 and -3
C 4 and -3
D
-10 and -3

Answers

Answer:

The two integers are C, 4 and -3.

Step-by-step explanation:

When you add 4 and -3 you get 1, when you subtract them you get 7.

The London Eye Ferris wheel has a diameter of 120 meters. It completes one revolution in 30 minutes. About how far will a person travel along the arc of the Ferris wheel in 10 minutes while riding the London Eye?

Answers

Answer:

Step-by-step explanation:

Please help me with i ii iii
Step by step

Answers

(i) I used distributive property to get the x’s and y’s out of parentheses. I then combined like-terms to simplify until I could do no more. That is your final answer for (i) is -3x - 12y

(ii) This one is similar to the first one, just with no parentheses. I combined like terms again until not like terms were left. Your final answer for (ii) is -3k -2 -2n

(iii) I started by dividing 15 by 3 and got 5, and because the 15 had an x to it, you get 5x. I then moved onto the next term, 9. 9 divided by 3, to get 3. Your final answer for (iii) is 5x + 3

.3 (15x+9)/3
(15x/3)+(9/3)
5x+(9/3)
5x+3
1. 4(3x+2y)-5(3x+4y)
12x+8y-5(3x+4y)
12x+8y-15x-20y
-3x+8y-20y
-3x-12y
-3(x+4y)
2. 3k+3m-2-6k-3m-2n
-3k+3m-2-3m-2n
-3k-2n-2

In the expression below, the
3 is the
of x.
3x + 2
A. Coefficient
B. Constant
C. Operator
D. Variable

Answers

A) Coefficient is the correct answer.

Step-by-step explanation:

The 3 is a coefficient. The x is the variable.


The volume of a cone is 16 n cubic meters. What is the volume of Eylinder having
the same base and same height?

Answers

Answer:

it's the threefold (16 pi)

Step-by-step explanation:

if you look at the formula for each, you'll notice that the volume formula of the cone got an '*1/3' extra, so it's one third of the cylinders volume

Helppppppp pleaseeeeeeeee

Answers

Answer:

x = 8

Step-by-step explanation:

m<PQR = (2x + 6)°

m<RPQ = (x - 7)°

m<QRS = (5x - 17)°

<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.

Therefore,

m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)

Substitute in the values

2x + 6 + x - 7 = 5x - 17

Add like terms

3x - 1 = 5x - 17

Collect like terms

3x - 5x = 1 - 17

-2x = -16

-2x/-2 = -16/-2

x = 8

Use the distributive property to find a equivalent expression for 6(x+4)

Answers

Answer:

6x +24

Step-by-step explanation:

you factor out the 6 so 6x and 6*4 is 24

PLEASE HELP!!!!!
In the formula CL% confidence interval • S what is Zest? O O A. 1 O B. 3 O c. 2 O O D. 4​

Answers

Using the Empirical Rule, it is found that the critical value for a 68% confidence interval is given by:

A. 1.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want the 68% confidence interval, hence Zcl = 1 and option A is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Answer:

1

Step-by-step explanation:

1

15 POINTS! PLEASE HELP! BRAINLIEST!
What is the probability of flipping a coin 15 times and getting heads 6 times? Round your answer to the nearest tenth of a percent. O A. 19.6% O B. 9.2% O C. 4.2% O D. 15.3% SUBMIT​

Answers

Answer:

D.  15.3%

Step-by-step explanation:

Total number of outcomes:

2¹⁵ =  32768

Number of combinations of getting 6 heads:

15C6 = 15!/6!(15-6)! = 5005

Required probability is:

P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%

Correct choice is D

Answer:

option D

Step-by-step explanation:

Total sample space

                               =  [tex]2^{15}[/tex]

Number of ways 6 heads can emerge in 15 flips

                                                                          = [tex]15C_6[/tex]  

Probability:

               [tex]=\frac{15C_6}{2^{15}}[/tex] [tex]= 0.1527[/tex]

Probability to the nearest percent : 15.3%

I’m so confused plz help

Answers

Answer:

[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]

Step-by-step explanation:

[tex]18\frac{1}{2} =\frac{37}{2}[/tex]

[tex]4\frac{1}{4} =\frac{17}{4}[/tex]

[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]

what is the probability of throwing an odd number with a fair die​

Answers

Answer:3/6 or 1/2

Step-by-step explanation::So a fair die has 6 sides so it would be soemthing out of 6 we know their 3 odd number on the die so that means it would be 3/6 or 1/2 that yu would land a odd number.

convert 122f to Celsius​

Answers

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

Find z such that 3.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places.)

Answers

Answer:

z = 1.77.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area of the normal curve to the left of Z. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Find z such that 3.8% of the standard normal curve lies to the left of z

Thus, z with a z-score of 0.038. Looking at the z-table, this is z = 1.77.

can someone please help ! :)

Answers

Answer:

the missing angle is easy. just remember the the sum of the 3 angles in a triangle is always 180°

then you calculate

180° - 90° - 35°

and get 55° for the last corner.

PLZ HELP ILL AWARD BRAINLIEST

Answers

i got 6°. you make the two equations equal to each other and solve.

Help me please I NEED to pass this

Answers

OPTION C is the correct answer.

Hope it helps you.

Factor this polynomial.
-3x2 - 16x-5
A. (3x - 1)(x - 5)
B. (-3x + 1)(x + 5)
C. (3x + 1)(x - 5)
D. -1(3x + 1)(x+5)

Answers

Answer:

D.  -1(3x + 1)(x+5)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

find t =?
please help me​

Answers

Answer:

−7.361097448

Step-by-step explanation:

One-third of a number decreased by six equals eight. What is the number?
06
14
O 24
O 42

Answers

Mark brainliest please

Answer is 42

Explaination


Consider the given problem :

Let the number be x,

This can be expressed mathematically as ,
One-third of a number written as 1/3 x

One-third of a number, decreased by six expressed as 1/3x -6

then whole expression become,

1/3x -6 = 8

Now, solving for the above expression

Adding 6 both sides, we have,

(1/3)x - 6 = 8
           +6   +6

It becomes 1/3x+6-6=8 +6
1/3x = 14

Multiply both side by 3 , we get,

3* 1/3x = 14*3

x= 42

Thus, the number is 42.





A plane owned by Fiji Link ATR72 has three engines—a central engine and an engine on each
wing. The plane will crash because it were within the occasion that the central engine fails and
one of the two wing engines fails. The probability of disillusionment in the midst of any given
flight is 0.004 for the central engine and 0.007 for each of the wing engines. Anticipating that
the three engines work independently, what is the probability that the plane will crash in the
midst of a flight?

Answers

P(centre engine and left fail) = 0.004 x 0.007 = 0.000028
P(centre engine and right fail) = 0.004 x 0.007 = 0.000028
P(all three engines fail) = 0.004 x 0.007 x 0.007 = 0.000000196

P(plane will crash) = 0.000028 x 2 + 0.000000196 = 0.000056196

Find the ratio please help :mathematics

Answers

Answer:

answer is 19:13 .............

Complete each congruence statement by naming the corresponding angle or side. NO LINKS!!!​

Answers

Answer:

Solution given:

19

<JKL=<KLS

20

FD=GD

9514 1404 393

Answer:

  19) ∠JKL ≅ ∠SLK

  20) FD ≅ GD

Step-by-step explanation:

It works well to identify the locations of the letters in the congruence statement, then use the letters in the same order from the other part of the congruence statement.

19) Letters JKL have the order 312 in the first part of the congruence statement ΔKLJ ≅ ....

The last part of the congruence statement is ... ≅ ΔLKS. The letters in order 312 from that part are SLK, so we want our angle congruence to read ...

  ∠JKL ≅ ∠SLK

__

20) The letters we're given (FD) are in positions 31 of the first part of the triangle congruence statement. The letters in those positions in the second part are GD, so our segment congruence is ...

  FD ≅ GD

PLSS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!

Answers

Answer:

338π

Step-by-step explanation:

[tex]2\pi rh+2\pi r^2[/tex]

[tex]2\pi *7*20+2\pi *7^2=240\pi +98\pi[/tex]

the multiplicative inverse of 5 2/3​

Answers

Answer:

Step-by-step explanation:

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

first chnge to improper or proper fraction

5*2/3

10/3

multiplicative inverse of 10/3 = 3/10

Other Questions
Inequality of y spread of Buddhism declined during the Sena age --- write two or three sentences in support of this statement. Which absolute value equation represents the graph how many moles are in 150 grams of water 7.) There are about 9,987,000 people that live in Michigan. How do you write9,987,000 in scientific notations?a.) 99.87 x 105b.)9.987 X 105c.) 9.987 x 107d.) 9.987 X 106 Which Two details from the text best support the answer to Part A?A. the last time i was home / to see my mother we kissed / exchanged pleasantries / andunpleasantries (Lines 1-4)B. i remember the first time / i consciously saw her / we were living in a three room(Lines 7-9)C. mommy always sat in the dark / i dont know how i knew that but she did (Lines 11-12)D. im sure i just hung there by the door / i remember thinking: what a beautiful lady(Lines 25-26)E. i taught it to my son / who recited it for her (Lines 36-37)F. we must learn / to bear the pleasures / as we have borne the pains (Lines 38-40) 3 What is the value of w? Busco un recorte periodistico que exprese algunas de las necesidades que a tu criterio tienen los seres humanos en la actualidad LEE Y ANALIZA LA NOTICIA Y ELABORA UN TEXTO QUE LO EXPLIQUE "Stars, hide your fires, Let not light see my black and deep desires."He wants Lady Macbeth to rule Scotland as she is an ambitious woman.He wants to conquer the neighboring lands of Scotland and make LadyMacbeth the queen.He does not want stars to shine as people will find him guilty of killing theKing.He does not want the world to know his desire to become the king ofDuncan. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Solve the following equation.-5 = s- 3 Have you experience accident inside your home. List the things that may have cause it and the steps you made to avoid it after the incident. Given Tan A= 2/3 and that angle A is in quadrant 1, find the exact value of sec A in simplest radical form using a rational denominator. Give a brief synopsis of the program, or story, of the programsymphony Symphonie Fantastique. (5 points)Include:How did it affect women?Where were the different places the movement occured?Explain a story How many liters of hydrogen gas will be produced at STP from the reaction of 5.159 x 1021 atoms of magnesium with 55.23 g of phosphoric acid (H3PO4)?3 Mg + 2 H3(PO4) Mg3(PO4)2 + 3 H2 Find the measure for angles 1 and 2. Why is it important to know the proper ways on how to sustain Earth's resources?Nonsense = Report What is the slope of the line below?(-2,4) (5,4) A. PositiveB. ZeroC. UndefinedD. Negative Hydrothermal vent ecosystems do not have sunlight available, and hence there are no kinetic energy. Instead, play the role of on which other organisms rely for energy. They compounds such as hydrogen sulfide to obtain energy for themselves. This energy is used to sugar molecules. create an additional energy transfer when they these sugars or eat each other. As in other ecosystems, organisms in hydrothermal vent communities also transform into other forms, such as (energy of motion). What is the main topic of this report?community leadersthe hurricane seasongovernment agenciesthe Atlantic coast Which sentence is in the present tense?a.I am hoping I can figure out who the murderer is.b.Grandpa has checked out every book on World War II in the library, some of them twice!c.Open cookbooks and a thin coating of flour covered the table. d.Marta had fallen asleep on her math text; both her face and the pages were left creased and damp.