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
Luda [366]
2 years ago
14

Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polyn

omial equation
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
7 0

Step-by-step explanation:

in newton rapson method

x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}

Let n=n-1

x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}

x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}

You might be interested in
How do u type negative one on here
ipn [44]

Answer:

-1

Step-by-step explanation:

7 0
2 years ago
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate how many cups of sugar sho
mr Goodwill [35]

Answer:

The answer is 1 cup of sugar

Step-by-step explanation:

x = 2 x 1.5/3

x = 3/3

x = 1 cup of sugar

hope it helps!

4 0
3 years ago
Sandy and Alex are married, with no dependents. They wish to file a joint tax return. Both of them work, but their combined sala
GREYUIT [131]

Answer:I'm pretty sure it would be C but that might be wrong

Step-by-step explanation:

7 0
2 years ago
Use the Taylor series you just found for sinc(x) to find the Taylor series for f(x) = (integral from 0 to x) of sinc(t)dt based
Marina CMI [18]

In this question (brainly.com/question/12792658) I derived the Taylor series for \mathrm{sinc}\,x about x=0:

\mathrm{sinc}\,x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}

Then the Taylor series for

f(x)=\displaystyle\int_0^x\mathrm{sinc}\,t\,\mathrm dt

is obtained by integrating the series above:

f(x)=\displaystyle\int\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}\,\mathrm dx=C+\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}

We have f(0)=0, so C=0 and so

f(x)=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}

which converges by the ratio test if the following limit is less than 1:

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(-1)^{n+1}x^{2n+3}}{(2n+3)^2(2n+2)!}}{\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}}\right|=|x^2|\lim_{n\to\infty}\frac{(2n+1)^2(2n)!}{(2n+3)^2(2n+2)!}

Like in the linked problem, the limit is 0 so the series for f(x) converges everywhere.

7 0
3 years ago
A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 12-inch pieces can t
IrinaK [193]

Answer:

60

Step-by-step explanation:

because 12 inches is one foot so there’s 6 feet per 6 feet of ribbon and there’s 10 of these ribbons so 6 times 10 is 60

6 0
3 years ago
Other questions:
  • Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of t
    10·1 answer
  • Felicia filled the bathroom sink with water is the amour more than 1 liter about 1 liter or less than 1 liter
    7·1 answer
  • a man retires at age 50 with $625,000 in savings.after 7 years of retirement, he has spent $259,000 of his savings and is consid
    12·1 answer
  • Quinn and her friends were handing out flyers for their lemondare stand. There were 35 friends and they each handed out 126 flye
    13·2 answers
  • How many 2/7s are in 4
    12·2 answers
  • I need help with this iready question​
    15·1 answer
  • A builder makes drainpipes that drop 1cm over a horizontal distance of 30cm to prevent clogs. A certain drainpipe needs to cover
    5·1 answer
  • Tina is making a cylindrical sandbox that has a radius of 2 feet. She bought 18.84 cubic feet of sand for the sandbox. Which hei
    6·1 answer
  • A formula for finding SA, the surface area of a rectangular prism, is
    13·2 answers
  • What is the slope of the line
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!