a. Expand (1 2x) 10 in ascending powers of x up to and including the term
Question:
a. Expand (1 − 2x)10 in ascending powers of x up to and including the term in x3, simplifying each coefficient in the expansion.
b. Use your expansion to find an approximation of 0.9810, stating clearly the substitution which you have used for x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
a To expand 1 2x10 we can use the binomial theorem The binomial theorem states that for any positive ...View the full answer
Answered By
ROXAN VEGA
I have extensive hands-on experience and proficiency in assisting students in various subjects. During my tutoring sessions, I prioritize creating a supportive and engaging learning environment. I strive to understand each student's unique learning style and tailor my teaching methods accordingly. I am patient, empathetic, and skilled at breaking down complex concepts into simpler, more manageable parts. I encourage active participation and discussion, promoting critical thinking and problem-solving skills.
One of my strengths as a tutor is my ability to adapt to different learning needs and styles. I can explain difficult concepts using real-life examples, visual aids, or interactive exercises, depending on what works best for the student. I also provide clear explanations, answer questions, and offer guidance in a clear and concise manner.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
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...
-
In the binomial expansion of (2k + x) n , where k is a constant and n is a positive integer, the coefficient of x 2 is equal to the coefficient of x 3 . a. Prove that n = 6k + 2. b. Given also that k...
-
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...
-
Manual programming for the following picture : 3.000 2.250 1.500 .750 PART#:00002 ZEE & SLOTS (MANUAL PROGRAMMING) 5.0 REF. .500 5 1.375 3.000 2.250 TITLE: PART#: 00002 (ZEE & SLOTS) DRAWN BY:...
-
Based on your concerns, Jack has gathered the following information for Work Center 2, the work center that directly feeds Work Center 3. Complete the input/output analysis of Work Center 2. (a)...
-
What parametric test could be used to test for the effect of linoleic acid on SBP? Hypertension Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular...
-
Write a code to test a Gaussian pseudorandom number generator. If you do not have a canned generator available, write a generator based on the Box-Muller algorithm in Appendix I. Apply the following...
-
(Accounting for Restricted Stock) Derrick Company issues 4,000 shares of restricted stock to its CFO, Dane Yapping, on January 1, 2010. The stock has a fair value of $120,000 on this date. The...
-
Mercedes-Benz AG is a subsidiary of Daimler AG known for producing luxury vehicles and commercial vehicles. This company has strongly pushed for product placement in Hollywood movies. In 2015,...
-
The coefficient of x 2 in the expansion of (2 + ax) 3 is 54. Find the possible values of the constant a.
-
f(x) = (1 5x) 30 a. Find the first four terms, in ascending powers of x, in the binomial expansion of f(x). b. Use your answer to part a to estimate the value of (0.995) 30 , giving your answer to 6...
-
What is one example of a global system?
-
The Sioux Gateway Airport (SUX) is a small airport located inSioux City, IA. Currently, American Arilines is the only airlinewhich flies out of SUX; flights go from SUX to Chicago/O'Hareairport...
-
FORMULA IS PMT= P(i(1+i)^n/(1+i)^n-1) Instructions: Write a Java program that implements the following tasks: 1. Prompt the user for the following information about a loan: a. Interest Rate b. Loan...
-
Question DrugCo buys an input that costs $p from the market for its drug production. DrugCo knows that 4/5 of suppliers will provide a good input that the firm can use to produce $100 value of output...
-
As I am sure you know Bob Barker was the famous game show hostof the Price is Right. He was known for this slick white hair, hislove of animals, and his affection towards "Barker's Beauties".Bob's...
-
(a) Consider the Bayesian network with the given conditional probabilities in Figure Q1a below: A B C A B T F T F T F 0.6 0.4 T 0.9 0.2 T 0.3 0.5 B F 0.1 0.8 F 0.7 0.5 Figure Q1a. The Bayesian...
-
Where is the break-even point on a CVP graph?
-
Determine the values of the given trigonometric functions directly on a calculator. The angles are approximate. tan 0.8035
-
What test can be performed to assess whether cases tend to have lower levels of vitamin D 3 than controls? Cancer There were early reports that people with extensive sun exposure had a reduced risk...
-
Implement the test in Problem 10.111, and report a two-sided p-value? Cancer There were early reports that people with extensive sun exposure had a reduced risk of colorectal cancer incidence....
-
Interpret the results (i.e., do cases have higher, lower, or the same vitamin D 3 levels as controls?). Cancer There were early reports that people with extensive sun exposure had a reduced risk of...
-
Given that there is a counter-transport of 3 moles of A and 5 moles of B in the film between a permeable membrane and the bulk. The film between the membrane and the bulk is 4 microns thick. The...
-
1. (a) Write a short motivation as to why some countries prefer the BODs as a measure of (4 pts) organic pollution from wastewater instead of COD. (b) Explain why it is important to include at the...
-
Answer the Following Question A 2R B The spherical catalyst shown in the sketch is being used to catalyze the first-order reaction, AB, with a reaction rate, RAK CA. Analyze the problem as...
Study smarter with the SolutionInn App