a. Find the binomial expansion of (1 3x) 3/2 in ascending powers of x up to

Question:

a. Find the binomial expansion of (1 − 3x)^3/2 in ascending powers of x up to and including the x³ term, simplifying each term.

b. Show that, when x = 1/100, the exact value of (1 − 3x)^3/2 is

c. Substitute x =1/100 into the binomial expansion in part a and hence obtain an approximation to √97. Give your answer to 5 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 10, 2023 08:01 AM

See More Questions

a. Expand (1 + 2x) 12 in ascending powers of x up to and including the term in x 3 , simplifying each coefficient. b. By substituting a suitable value for x, which must be stated, into your answer to...
a. Expand f(x) in ascending powers of x up to and including the term in x 3. b. Hence show that, for small x: c. Taking a suitable value for x, which should be stated, use the series expansion in...
a. Use the binomial series to expand (2 3x) 10 in ascending powers of x up to and including the term in x 3 , giving each coefficient as an integer. b. Use your series expansion, with a suitable...
The income statement information for 2010 and 2011 of the Connor Company (a sole proprietorship) is as follows: Required Fill in the blanks labeled (a) through (g). All the necessary information is...
Muscle Beach, Inc., makes three models of high-performance weight-training benches. Current operating data are summarized here: Required: a. Calculate the contribution margin ratio of each product....
As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the...
How does myelination speed the propagation of action potentials?
Robert Parker, president of the Wilkerson Company, was discussing operating results in the latest month with Peggy Knight, his controller, and John Scott, his manufacturing manager. The meeting among...
You advise the Mensas to implement a bucketing strategy with with respect to their emergency fund. What do they need to do in order to implement this strategy?
Find the binomial expansion of f(x) in ascending powers of x, up to and including the term in the x 2 . Give each coefficient as a simplified fraction. q(x) = (3 + 4x)-, [x]
a. Find the first four terms of the expansion, in ascending powers of x, of b. Hence or otherwise, find the first four non-zero terms of the expansion, in ascending powers of x, of : (2 + 3x)-, |x| <...
A sole proprietorship can be passed on to heirs through gifts or an estate. a. True b. False
What is a cross rate?
What is the international monetary system?
Why do companies go global?
What are full-service supplier firms? What types of services do they provide?
What is a multinational corporation?
Refer to Data Set 19 in Appendix B and construct a 95% confidence interval estimate of the difference between the mean weight of the cola in cans of regular Pepsi and the mean weight of cola in cans...
Before the 1973 oil embargo and subsequent increases in the price of crude oil, gasoline usage in the United States had grown at a seasonally adjusted rate of 0.57 percent per month, with a standard...
What are the appropriate null and alternative hypotheses to compare the means of the two groups? Pulmonary Disease A possible important environmental determinant of lung function in children is the...
What is the appropriate test procedure for the hypotheses in Problem 8.31? Pulmonary Disease A possible important environmental determinant of lung function in children is the amount of cigarette...
Carry out the test in Problem 8.32 using the critical value method? Pulmonary Disease A possible important environmental determinant of lung function in children is the amount of cigarette smoking in...
31 m A ball is thrown from the top of a building upward at an angle of 39 to the horizontal and with an initial speed of 25 m/s, as in the figure. The ball is thrown at a height of 31 m above the...
Please put this information into a table like the one uploaded and add the conceptual and operational definition to all 4 hypotheses. What is the current perception of Uniqlo's brand among its...
Shaw Landscapes (SL) develops and sells plans for various types of gardens and outdoor spaces. Customers use the plans to install various landscape features such as gardens, ponds, walls, etc. The...

a. Find the binomial expansion of (1 3x) 3/2 in ascending powers of x up to

Question:

97√97 1000

Step by Step Answer:

a 1 b C 9 2x ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions