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
Simora [160]
3 years ago
8

Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans

wers to four decimal places.) f(x) = cos x, x1 = 0.7
Mathematics
1 answer:
VikaD [51]3 years ago
4 0

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

You might be interested in
Tyler is planting 60 trees at the apple orchard he will plan 8 trees in each row how many full rows of trees will Tyler plant?
Ainat [17]
He would maybe have 7.5 but I insist you the answer could be 8 too
6 0
3 years ago
Brianna built a rectangular flower garden. The garden is 10 feet long and 8 feet wide. What is the area of Briannas flower garde
Anuta_ua [19.1K]
10*8 thats gonna be 80
3 0
3 years ago
Can you subtract 8 tenths from 1 tenth?​
Rudiy27

Answer:

Not if you want it to be a positive number. You can but it will be a negative.

Step-by-step explanation:

3 0
3 years ago
What number is needed to complete the pattern below? 202 210 218 __ 234 242 250 258
sdas [7]
202 + 8 = 210
210 + 8 = 218
218 + 8 = 226

The number is 226.
5 0
3 years ago
Read 2 more answers
The sum of the measures of the interior angles of a polygon with n sides is
Andrew [12]

Answer:

B

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = (n - 2) × 180° ← n is the number of sides

8 0
3 years ago
Other questions:
  • The supplementary angle of 100.6° is
    9·1 answer
  • What number is the least common multiple of 6 and 8? <br> A. 48<br> B. 2 <br> C. 12 <br> D. 24
    8·2 answers
  • Slope= -1; y-intercept = 8
    9·2 answers
  • Write the coordinates of the vertices after a reflection across the line y = 2.
    14·1 answer
  • Please help me! I need it
    5·1 answer
  • How many 2/3 ounce portions of chocolate can Anna get from the 42/3 ounces of chocolate she bought at Union Market?
    10·1 answer
  • (x + 1 - 32x^2) + (8x + 21x^2 - 1)
    11·1 answer
  • What is solution to the system of equation
    14·1 answer
  • Abigail can read 180 words in one minute if she were to read 30 minutes each day how many days would it take to read 32,400 word
    6·1 answer
  • Item 7 Find the perimeter of the shaded region. Round your answer to the nearest hundredth. A rectangle with length 13 and width
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!