I need proof for given 2 Statements...These 2 statements are regarding Binomial Theorem Applications.So please give me in step-by-step manner.
<p><p><img src="https://img.homeworklib.com/uploads/ueditor/20211112/1636789142521707.jpg" title="1636789142521707.jpg" alt="binoans1.jpg"/><img src="https://img.homeworklib.com/uploads/ueditor/20211112/1636789159393188.jpg" title="1636789159393188.jpg" alt="binoans2.jpg"/><img src="https://img.homeworklib.com/uploads/ueditor/20211112/1636789177197053.jpg" title="1636789177197053.jpg" alt="binoans3.jpg"/><img src="https://img.homeworklib.com/uploads/ueditor/20211112/1636789185168130.jpg" title="1636789185168130.jpg" alt="binoans4.jpg"/></p></p>
PLEASE DO BOTH (3) (5 pts) Find the expansion of (2x + y) using the binomial theorem? (4) (5 pts) What is the coefficient of z' in the expansion of (2 + x)?
send me quick solution. its urgent please 4. Consider the following binomial raised to a power, (x + 2)". Use the Binomial Theorem to solve the following. a. Find the coefficient of x b. Find the constant for (x + 2)
could u help me for this one?? 14. For it is given that 1-2 is an invertible matrix such that 1 0 01 AQ A-2 0 0 0 1 0] Let A ((1. 2,0), (0,0, D), (0,0, 0)). Find a basis B of R3 such that the m transition from B to A is matrix of 10 01 D2-0 1 0 and an invertible P such that PAQ D2. (Hint: See the proof of Theorem 3.46.) 15. For each matrix...
1. Use Pigeon hole principle to prove that any graph with at least 2 vertices contains two vertices of the same degree. (Hint: Prove by contradiction. (4 points) 2. Given (6 Points) a. Prove the above equation using binomial theorem. (3 Points) b. Give a combinatorial proof for the given equating. (3 Points) 4n = (0)2" + (1)2" +...+)2"-
12. Use the binomial theorem to find the coefficient of xayh in the expansion of (5x2 +2y3)6, where a) a 6, b-9 b) a 2, b 15. c) a 3, b 12. d) a 12, b 0 e) a 8, b 9
I need proof of this numerical analysis theorem. This theorem is from Burden's Numerical analysis book. Please give me the detailed solution of this theorem. Theorem If {00, ... , ºn} is an orthogonal set of functions on an interval [a, b] with respect to the weight function w, then the least squares approximation to f on [a, b] with respect to w is 11 P(x) = a;°;(x), j=0 where, for each j = 0, 1, ... ,n, cb aj...
can I have the answer for (a)? thank u!! 14. For it is given that 1-2 is an invertible matrix such that 1 0 01 AQ A-2 0 0 0 1 0] Let A ((1. 2,0), (0,0, D), (0,0, 0)). Find a basis B of R3 such that the m transition from B to A is matrix of 10 01 D2-0 1 0 and an invertible P such that PAQ D2. (Hint: See the proof of Theorem 3.46.) 15. For...
need help with (b), thanks! Beta is the exponent of (a+b). i.e. (a+b)^beta for beta a natural number, the Binomial Expansion reduces to the general Binomial Formula . (a) Show that for β -1, the Binomial Expansion reduces to the Geometric Series I. (b) Show that for B a natural number, the Binomial Expansion reduces to the Binomial Formula We were unable to transcribe this image (a) Show that for β -1, the Binomial Expansion reduces to the Geometric Series...
The problem is in these two pictures, please show me the source code~ 4.2. The binomial theorem can be written as 4.3. W A d SS a'"-2h2 n(n - 1)(n - 2) 2! (a+ b)" = a"+1na-1hn(n-1) 3! Write a program for which a = 1 and 0 < b < 1 that uses the binomial theorem to calculate (a + b)" accurately to eight decimal places. Your pro- gram should also calculate (a + b)" using the pow() function....
please help me urgently . I would appreciate it. Please give step-by-step calculations. I need his as soon as possible please