Combinatorics Find: (» ខ្ញុំ() --- k=2 (e) ( 7 ) (Hint: Differentiate the expansion of (x...

Question

Question

Combinatorics

Find: (» ខ្ញុំ() --- k=2 (e) ( 7 ) (Hint: Differentiate the expansion of (x + 1) and set « = 1.) ht: Differentiate the expa

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Q By Binomial theoren x + ... + Cm 3*3 + cxt Cox ? U EWEN (a) but a=2 then from t m (6) but as then from 0 k=0 diff w. r. to x = L bu they > K-2 m n-2 n(n-1) 11+1) = K (K-1) u R=0 m2 40k) (?) k = 0 => n(n-1) 32 (e) from egna -1 (1+0)n-1 = m K Σ Κα Ri

Add a comment

Answer 2

Similar Homework Help Questions

Differentiate the given function K(X) = 5 (7x4- X+7)8

Differentiate the given function K(X) = 5 (7x4- X+7)8
where Problem 36. Assume f : X → [0, oo]. Prove that if Σ f(x) < 00, then {x E X (z) > 0} is a countable set. (HINT: Show that for every k E N the set {x E X | f(x) > k-1} is finite.)...

where Problem 36. Assume f : X → [0, oo]. Prove that if Σ f(x) < 00, then {x E X (z) > 0} is a countable set. (HINT: Show that for every k E N the set {x E X | f(x) > k-1} is finite.) f(x)-sup f(x) | F is any finite subset of X TEF Problem 36. Assume f : X → [0, oo]. Prove that if Σ f(x) 0} is a countable set. (HINT: Show that...
Question 8 (Chapters 6-7) 12+2+2+3+2+4+4-19 marks] Let 0メS C Rn and fix E S. For a E R consider the following optimization problem: (Pa) min a r, and define the set K(S,x*) := {a E Rn : x. is a...

Question 8 (Chapters 6-7) 12+2+2+3+2+4+4-19 marks] Let 0メS C Rn and fix E S. For a E R consider the following optimization problem: (Pa) min a r, and define the set K(S,x*) := {a E Rn : x. is a solution of (PJ) (a) Prove that K(S,'). Hint: Check 0 (b) Prove that K(S, r*) is a cone. (c) Prove that K(S,) is convex d) Let S C S2 and fix eS. Prove that K(S2, ) cK(S, (e) Ifx. E...

Given 0.2 E(z) (z - 0.2)2(z2 0.6065) a) Use Partial fraction expansion to find the inverse,...

Given 0.2 E(z) (z - 0.2)2(z2 0.6065) a) Use Partial fraction expansion to find the inverse, e(k) b) Use the power series method of inversion to find the first 7 samples of e(k) and verify with the answer from part (a) Given 0.2 E(z) (z - 0.2)2(z2 0.6065) a) Use Partial fraction expansion to find the inverse, e(k) b) Use the power series method of inversion to find the first 7 samples of e(k) and verify with the answer from...
1. Find [(x + 7)(x - 5)dx. Hint: Multiply out first. 2. Find (80e58dx 3. Find...

1. Find [(x + 7)(x - 5)dx. Hint: Multiply out first. 2. Find (80e58dx 3. Find 7x +35x°-168x be. Hint: Factor and simplify the integrand first. x. Hint:
(d) f(x) = (1 + x) ln(1 + x) Hint: differentiate. (4) Expand the following functions...

(d) f(x) = (1 + x) ln(1 + x) Hint: differentiate. (4) Expand the following functions into power series centered at 0 and find the radius of convergence. You can either use geometric series method, known expansions, or derivatives. You don't have to analyze the remainder.

3. Find the asymptotic expansion of (x, p)-| e-"u-pdu, for large values of x

3. Find the asymptotic expansion of (x, p)-| e-"u-pdu, for large values of x 3. Find the asymptotic expansion of (x, p)-| e-"u-pdu, for large values of x
2. Find the derivative of f(x) = 5(723 – 2x + 1)-3. 3. Differentiate f(x) =...

2. Find the derivative of f(x) = 5(723 – 2x + 1)-3. 3. Differentiate f(x) = (3.2 + 10 – sin x)". O e 99+ ASUS VivoBook
Combinatorics: 6. A mathematician picks and integer i from the set {1,2,3,...,145} and a computer scientist tries to find the number by asking questions of the form: Is i<x, i>x, or i=x? Show th...

Combinatorics: 6. A mathematician picks and integer i from the set {1,2,3,...,145} and a computer scientist tries to find the number by asking questions of the form: Is i<x, i>x, or i=x? Show that the number can always be found using three questions

QUESTION 7 Differentiate implicitly to find dy dx Then find the slope of the curve at...

QUESTION 7 Differentiate implicitly to find dy dx Then find the slope of the curve at the point. x - = 1; (8,-4) OAB OB.-2 Oc4 00.- QUESTIONS Find the relative minimum or maximum. f(x) = x² +6x-3 OA(-3, -12) Os 3-12) Oç (3, -12) Op. 13,12)

Combinatorics Find: (» ខ្ញុំ() --- k=2 (e) ( 7 ) (Hint: Differentiate the expansion of (x...

Homework Answers

Add Answer to:
Combinatorics Find: (» ខ្ញុំ() --- k=2 (e) ( 7 ) (Hint: Differentiate the expansion of (x...

Post as a guest

Earn Coins

Differentiate the given function K(X) = 5 (7x4- X+7)8

where Problem 36. Assume f : X → [0, oo]. Prove that if Σ f(x) < 00, then {x E X (z) > 0} is a countable set. (HINT: Show that for every k E N the set {x E X | f(x) > k-1} is finite.)...

Question 8 (Chapters 6-7) 12+2+2+3+2+4+4-19 marks] Let 0メS C Rn and fix E S. For a E R consider the following optimization problem: (Pa) min a r, and define the set K(S,x*) := {a E Rn : x. is a...

Given 0.2 E(z) (z - 0.2)2(z2 0.6065) a) Use Partial fraction expansion to find the inverse,...

1. Find [(x + 7)(x - 5)dx. Hint: Multiply out first. 2. Find (80e58dx 3. Find...

(d) f(x) = (1 + x) ln(1 + x) Hint: differentiate. (4) Expand the following functions...

3. Find the asymptotic expansion of (x, p)-| e-"u-pdu, for large values of x

2. Find the derivative of f(x) = 5(723 – 2x + 1)-3. 3. Differentiate f(x) =...

Combinatorics: 6. A mathematician picks and integer i from the set {1,2,3,...,145} and a computer scientist tries to find the number by asking questions of the form: Is i<x, i>x, or i=x? Show th...

QUESTION 7 Differentiate implicitly to find dy dx Then find the slope of the curve at...

Combinatorics Find: (» ខ្ញុំ() --- k=2 (e) ( 7 ) (Hint: Differentiate the expansion of (x...

Homework Answers

Add Answer to: Combinatorics Find: (» ខ្ញុំ() --- k=2 (e) ( 7 ) (Hint: Differentiate the expansion of (x...

Post as a guest

Earn Coins

Add Answer to:
Combinatorics Find: (» ខ្ញុំ() --- k=2 (e) ( 7 ) (Hint: Differentiate the expansion of (x...