успЈ where /_g[n_1] + n[n] 2 x[n] = (!) u[n]

Q: Find n, where (x²+ ax+)² o(x"). Hint: expand (x*+ax+J

A:

Q: Prove by induction E 3₁ = (3^+¹ -1) 2 i=o

A:

Q: Let P(x) be the statement "x^2−x−20⩽0". a. If the domain consists of −4,0,1 and 2, then "∀x,P(x)"…

A: Given: Here is the given statements, 1. Px=x2−x−20≤0 To find: Is it true or false that "∀x,P(x)" is…

Q: onsider (G,*) where * is defined as a*b3Da is the set of all non-zero real numbers

A: Let  G=ℝ-0For a,b∈G⇒a*b=ab2a,b∈ℝ-0⇒ab2∈ℝ-0a*b∈G   The closure prosperity For…

Q: 10) ģt-»r) 1+ n ° 2 + n a=1

A:

Q: 6. Show that (~pVq) ^ (p^ (p^q)) is logically equivalent to p^ q.

A:

Q: ^n for all n>=6

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Q: Prove that for a # -1, a>0,n EN IS (1+a)^ n >=1+na.

A: Here let A=(1+a)n, a≠-1, a>0, n∈N and B=1+na

Q: Show that 8.

A: A∞=Max∑j=1naij  for i=1 to n=maximum row sumA*=AT=ajiA*1=Max∑i=1naji  for j=1 to n=maximum column…

Q: Prove that 1 + nx is less than or equal to (1+x)^n for all real numbers x>-1 and integers n >=2…

A:

Q: Suppose f"(x) = N;(h) + a,h* + a;h® + azh® + ... When calculating N,(h) using Richardson…

A: Solution

Q: [a, b] = N=1 (a -,b+-) To prove this, show the following: То Show that [a, b](a – ÷,b +- ) for every…

A: Given that, [a,b]=∩n=1∞a-1n,b+1n This can be written as, ∩n=1∞a-1n,b+1n=[a-1,b] The aim is to show…

Q: prove the following identities k(nk) = (n-1k-1) (n0)+(n1)+(n2)+ .... ..... +(n n-1) + (nn) = 2^n…

A:

Q: Explain the difference between a anda and between μ and μ. The quantity is the ---Select---…

A:

Q: By expressing (") and (, "₁) i in terms of factorials, show that () + (₁²₁) = (^#¹).

A: nr+nr-1=n+1r by expressing nrand nr-1 in terms of factorials.

Q: (9) -9| <2. ans./ (7, 11)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: *prove that 1P4 ľ +3'+ ... +n² = n' (n+1)* 4 for n= l,2,3

A: The given expression is the series expression. Formula to find the sum of series helps to prove the…

Q: Let yk = k", where n is a positive integer; then Ak" = (k + 1)" – k" %3D (1.112) n = nk"-1 kn~2…

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Q: 10. Evaluate | x In(x+12) « dr.

A:

Q: Show that QQ(2^1/4) is not normal. Further show that Q is subset of Q(2^1/2) and Q(2^1/2) is subset…

A: The objective is to show that Q214 is not normal. Further show that Q is subset of Q212 and Q212 is…

Q: If a and b are integers with gcd(a, b) = d Then gcd d' = -1 d/

A: Given a statement

Q: » (6)- (:) + (2) ---» :) - (3) n n +(-1)" (" ). = 0. с) + 3 n +...+n = n2"-1.

A:

Q: п(п+1)(п+2) E}=1jG+ 1) = а. b. Prove that the sum of the first n Fibonacci numbers with odd indices…

A:

Q: B.Solve the problem below. Show the complete solution. Out of the 300 grade 10 students of a certain…

A: Number of student joined mathematics club is 120. Number of student joined science club is 115.…

Q: of the form {((-1) Cnt1)) (nul) / (nt!)} where Let be the set of humbers A is </ement of the wet of…

A: Given that S is the set of numbers of the form -1(n+1)(n-1)(n+1), where n is an element of the set…

Q: [2(c056'+isin6")ゴー sin6")ゴー %3D

A: Given:2cos 50+sin 506

Q: What is Fn * Fn+1 with F representing Fibonacci numbers

A: The objective is to find Fn×Fn+1 where F represent Fibonacci numbers

Q: Fibonacci numbers are defined as f₁ = 1, f₂ = 1 and fn = fn−1 + fn-2, n ≥ 3. Show that f< (5/3)".

A:

Q: Prove that If P(A) > P(B), then P(A/B) > P(BIA)

A: The conditional probability is defined as P(A | B) = P(A and B)/P(B),  P(B | A) = P(A and B)/P(A)

Q: d) limnoo 1 •k=1 an e) limn 1 48x = =공 6 4

A:

Q: Suppose f"(x) = N;(h) + a,h + azh² + azh³ + -…- ... The value of N2(h) using Richardson's…

A:

Q: Smplty. (주)- (2) 음 2 п п n

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Q: Prove that Q_n = sup 1/n(1-(1/(nx+1))=1/n

A: Answer

Q: n (₁+) (+) () ---- () = 10

A:

Q: Sp

A: The objective of this question is to understand the formula for 'n choose k', which is a concept in…

Q: Find the solution of the initial value problem 1 7y" - 8y' + y = 0, y(0) = 7, y'(0) 7 Then determine…

A:

Q: Prove that there exists an n ∈ N such that 7 | (3^n − 1).

A:

Q: Show that the set A = {n^2/ (n+1): ne N} is unbounded in R.

A: To prove that the set A={n2n+1:n∈N} is unbounded in R,

Q: Q3/A/ Prove that (") + („",) = (*). n+: \k+1. n %3| k+1

A: Given: