5n² is O(n³)

Q: 2. Find an explicit formula for аn 3 За,-1+ 10ар-2 and ao %3D 0, ај 3D 7 An where

A: The solution is given as

Q: 3n³ + 20n² + 5 is O(n³)

A: Given: The given expression is 3n3+20n2+5 is 0(n3),

Q: Given that p (n) = 4n² + 4n – 6 and q (n) = n² – 5n + 8, find (p - q) (3). %3D %3D O 26 O 38 O 40

A: The given functions are pn=4n2+4n-6,qn=n2-5n+8.

Q: Is A – (B U C)= (A – B) N (A – C)? Prove it or disprove it.

A:

Q: 8. Provide justification for you what will appear on the ex asked. (-1)" (2n)! (a) n=1 n4 – 4n -

A:

Q: Given: 23 = Z1 Prove: АВ АС 2 3/6 E

A: Given: The angle ∠3 is equal to ∠1. Concept used: If the two angle of a triangle is equal then side…

Q: Which of the following is NOT true about the DE: 6xr?ydx+2x³dy=0?

A:

Q: If (ax+bx) = and k-1 n+1 8. E = 4 , then ar (ar-br) - k-1 n+2 k-1 O None 2 1/2

A: •  using elimination • find limit for n =infinity

Q: Given the explicit definition: tn = 3" - 8n, find t7.

A: Given that:  tn= 3^n -8n

Q: 1. Given: m |l n, 2l = 23 Prove: a | b 21 3 Proof:

A:

Q: 3. Prove the Archimedean Property, if x ER. then there exists K E N such that r SK.

A:

Q: Prove that Ek=0 C) 7n-k . 2k = 32n %3D

A:

Q: Prove this! P (an) = W/ NM) [M-N (p-q)" ] 8 Npq %3D exp

A: your question is not clear i think some error in the question plz confirm it.....

Q: Another means of rejecting Ho is if the p-value is greater than a. O less than a. O less than 0. O…

A: We have to find the another means of rejecting null hypothesis is the the p-value is ?.

Q: Suppose: n ≥ 3 and x,y ∈ Rn , |x - y| = d > 0 and r is some +R, Need to show: 2r = d, there is…

A:

Q: a n eln t--+

A: Given a function : h(x)=31-2x+2 We need to find the graph of this function.

Q: 6. Given: 21 and 22 are complementary Prove: SX 1 WX S. 2,

A:

Q: Remind yourself what () means. For this class, we will use the convention that () = 0 if n < k or if…

A:

Q: II. Prove the following. 1. alb iff ac bc, where c + 0.

A:

Q: For all n, d EZ where d + 0, d\n n = dk for some kEZ. Disprove: For all integers a, 6, and c, if…

A: I have disproved the result

Q: Given: &lt;1 = &lt;2;&lt;4=&lt;5 What can you prove about PQ and RSI Be prepared to give your…

A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

Q: Show that for all n e Z, n? – 3n +17 2. -

A: Given: For all n∈ℤ, n2-3n+1≠2

Q: Prove the following: 1) 1+3+5...+ (2n-1) = n²

A: *By Bartleby policy I have to solve only first one as these are all unrelated  problems.These are…

Q: If (ar + br) : 8n and n+1 %3D k-1 (ak - br) +, then E ak = n+2 k-1 k-1 None 2.

A:

Q: 3. Let A = {3k : k € Z} and B = {15m + 12n : m, n € Z}. Prove that A = B.

A: Let     A = {3k : k∈ℤ}    and          B = {15m+12n: m,n∈ℤ}To show :- A=B∵Let  x∈B  ⇒x = 15m1+12n1…

Q: (a) Given that x= In2 and y = In 5, (i) express In 50 in terms of x and y,

A: Simple logarithm problem.....

Q: Z1 is complementary to 2; 2 is complementary Given: 2 B 3 A E to 23 Prove: BD || AE

A: Prove that BD∥AE.

Q: Supposernc N and n 4 0 Then show that rn is positive if and only if r is positive

A:

Q: Which of the following statements are correct? (Select all that apply.) 1 %3D ga-b %3D (1+ a*)…

A:

Q: HW KLX) = 2x+5 7 -1. Find ke-²¹ (x) 2. Prove by kok orklok

A: Let's find inverse function.

Q: 1. For an = 5n2 + 9n3 + 1, an = n2, prove or disprove: rn = O(an) (n → o)?

A: We will use the standard definition.

Q: Prove that tanodo-n//2.

A:

Q: In the expansion of (2r + 1)", the coefficient of the term in x is 40n, where n e positive integers.…

A:

Q: 5. For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,1=n(""C,). r-1

A: Given n and r non negative integers with  1≤ r≤ n. We need to prove (n-r+1)nCr-1=n(n-1Cr-1)

Q: For xn = 5n² + 9n³ + 1, an = en = n², prove or disprove: an = O(an) (n → 0)?

A:

Q: 4. Recall the definition of the Fibonacci numbers: fo = 0, fi = 1 and fn = fn-1+ fn-2 for n > 2.…

A: Here we have to prove the required result.

Q: 4|5" – 1, Vn e N

A:

Q: 3) Ll a, = 5, Qz = 13, end Anta 5 anti - 6 an (n71). Prove by inbuetem that an =2* +3" (n. %3D =

A: The solution is given as

Q: 8. Prove 3n e R|n? – n < 0

A:

Q: Use Green's Theorem to evaluate 90 O O -384 O -48 fayd r²y² dr + (yr³+ y²) dy where C' is shown…

A: As we know from Green's theorem: ∫cMdx+Ndy=∫∫R∂N∂x-∂M∂ydA Where, ∬dA=∬dxdy or ∬dydx And We know the…

Q: Which of the following would not be sufficient information to conclude that AABC is similar to ADEF.…

A:

Q: Suppose n (a)= 7a + 4, determine a such that n (a) = 39. %3D

A: GIVEN n(a) = 7a+4 and n(a) = 39

Q: If det A= 0 why is det A+ = O? If A has rank r, why does A+ have rank r?

A: Given Data det A=0   Suppose the column and row of the matrix are linearly independent. The matrix…

Q: (-1) is where n is an integer. equal to the above e(1+2n)i where n is an integer. equal to the abov…

A: We know from eular formula e^iθ = cos θ + isin θ

Q: If the statement is true, prove. If the statement is false, disprove. 1 + 2" > 3n for all n E Z

A: False.  take n =2

Q: Given the set of multiples of 5 defined by 5Z:= {m: m = 5n for all n e Z} together with the…

A:

Q: Let x, y,p E Z, where p is prime. Prove that x2 – p²y – p + 0. (Hint: you may use without proof that…

A: Solution :-

Q: D. Is there guaranteed to exist a value of x = c on -2 < c < 2, such that h'(c) = 0? Give a reason…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: (3b) Let n E Z. Prove that if 3|(2n² + 1), then 3 ł n

A:

Q: Show that yn Z, if n³+5 is odd then n is even

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.