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
33. Sarah has $200 in her bank account now. If she
DENIUS [597]

Answer:2

Step-by-step explanation:if she deposits 10 dollars every week she would be adding 10 dollars which means we have to multiply 10 by however many weeks she saves

7 0
3 years ago
I need help on number 16 please and thank you ! For brainlest answer
marusya05 [52]
M5 is the same as m1 so it's 75°
6 0
3 years ago
What is the perpendicular slope to the line y = 3/2+2?
Roman55 [17]

Answer:

slope is -2/3

Step-by-step explanation:

8 0
3 years ago
Jasmine by 32 kiwi fruit for $16.How many kiwi can lisa buy if she has $6
zimovet [89]
The way to solve this is take 32/16, and you get 2. This means that you get 2 kiwis per dollar. So, if Lisa has $6, then she can buy 12 kiwis.
5 0
3 years ago
17. Subtract the quotient of 18 and 2 from the sum of 22 and 9.
Effectus [21]

Answer:

B. 22

Step-by-step explanation:

Quotient of 18 and 2 is 9, and just take the 9 out of the next series and you will be left with 22.

4 0
3 years ago
Read 2 more answers
Other questions:
  • I live exactly 42.6 miles from my mom. To get to her house I drive 36.25 miles due North. I turn right and drive due East onto 1
    10·1 answer
  • What are the series of the function? f(x)=4x^3+8x^2-4x-8
    6·2 answers
  • I need help with this question ?
    9·1 answer
  • The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
    15·1 answer
  • What’s the ara of each figure?
    9·1 answer
  • HELP ASAP
    13·1 answer
  • SmArT pEoPlE aNsWeR Yess ʸᴱˢ
    13·2 answers
  • Can you please help on this problem
    7·1 answer
  • SOMEONE PLEASE HELP MEEEEE
    15·1 answer
  • {4x+y=9 and 5x +2y=9
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!