f(x) x 2 4 x 6x 10, x 0 a Use differentiation to find f '(x) The root, , of the equation f(x) 0 lies in the interval 0 4, 0 3 b Taking 0 4 as a first approximation to , apply the NewtonRaphson process once to f(x) to obtain a second approximation to Give your answer to 3 decimal places ...

f(x) = x 2 - 4/x + 6x 10, x 0. a. Use differentiation to

Question:

f(x) = x² - 4/x + 6x − 10, x ≠ 0.

a. Use differentiation to find f'(x). The root, α, of the equation f(x) = 0 lies in the interval [−0.4, −0.3].

b. Taking −0.4 as a first approximation to α, apply the Newton–Raphson process once to f(x) to obtain a second approximation to α. Give your answer to 3 decimal places.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 16, 2023 09:52 AM

See More Questions

a. Show that a root of the equation f(x) = 0 lies in the interval [1.3, 1.4]. b. Differentiate f(x) to find f(x). c. By taking 1.3 as a first approximation to , apply the Newton Raphson process once...
a. Find g'(x). A root of the equation g(x) = 0 lies in the interval [6.5, 6.7]. b. Taking 6.6 as a first approximation to , apply the NewtonRaphson process once to g(x) to obtain a second...
The mechanical power output Pin a contracting muscle is given by: where T is the muscle tension, v is the shortening velocity (max of vmax), T0 is the isometric tension (i.e., tension at zero...
Listed below are ages of actresses and actors at the times that they won Oscars. The data are paired according to the years that they won. Use a 0.05 significance level to test the claim that there...
Using the Census data in problem 1, above, the OH Registry of Motor Vehicles reveal the following about the Autos owned by the 10 families residing in Smallville, OH: 4-Wheel Drive Made in America No...
Annette Cook has stocks currently valued at $16,250. Her stock value has decreased by 8.5% over the last three years. Find the value of her stock three years ago. P = RB P = 8.5% ($16,250) P = 0.085...
In a flat belt drive prove that $\frac{T_{1}}{T_{2}}=e^{\mu \theta}$; where $T_{1}$ is tension in tight side, $T_{2}$ is tension in slack side, $\mu$ is coefficient of friction, $\theta$ is...
The current risk-free rate of return, rRF, is 4 percent and the market risk pre-mium, RPM, is 5 percent. If the beta coefficient associated with a firm's stock is 2.0, what should be the stock's...
1) What is the mechanism of C-H Amination ? 2) What are the limits of C-H Amination ?
f(x) = x 2 5x 3 a. Show that f(x) = 0 can be written as: b Let x 0 = 5. Show that each of the following iterative formulae gives different roots of f(x) = 0. i x = V5x + 3 ii x= = x2 3 5
The number (in billions) of pieces of mail handled by the U.S. Post Office each year from 1980 through 2009 can be approximated by where t is the number of years since 1980. Find and interpret the...
A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N. A new batch of yarnwas made, using newrawmaterials from a different vendor. In a sample of 75 pieces of...
If you were asked to forecast the population of your town over the next 5 years, how would you do it? What information would you ask for?
What is the X-11 model? What is it used for? Briefly explain how the X-11 model is used in forecasting.
Why was product analytics influential in Brand24s overall pricing optimization success?
What is the reason for differences in initial impact calculation versus the realized one (over $40k MRR vs. $4k MRR)?
What key considerations are required to develop a final commercial structure for B2B digital solutions?
The following table shows attendance data collected by the Motion Picture Association of America during the period 2009 to 2011. Figures are the number (in millions) of frequent moviegoers in each...
A stock has had returns of 8 percent, 26 percent, 14 percent, 17 percent, 31 percent, and 1 percent over the last six years. What are the arithmetic and geometric average returns for the stock?
Calculate the mean and median of RINCOME. Is the mean greater than the median? If so, explain why. The following exercises are based on the Survey of Consumer Finances 2013.
Compute the mean and median of the ages (AGE) of the respondents in the 2013 survey. Interpret each statistic.
Find the mean and median of the incomes (INCOME) of the respondents. Briefly describe what the large difference between the two statistics tells you about the distribution of incomes of the...
Given the extended timeline for development finance cases, explain how real estate finance law and the legal documentation operate to protect the interests of the paramount mortgagee granting loan...
Compare and contrast the various business types. What business type would you select if you were starting a business? Why? Do you know anyone who owns a business? If so, what has their experience...
Under the decision in Lance v. Wyeth , what will the plaintiff have to prove at trial in order to establish that Wyeth acted negligently in putting Redux on the market? Note that, by the time of the...

f(x) = x 2 - 4/x + 6x 10, x 0. a. Use differentiation to

Question:

Step by Step Answer:

a fx...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions