prove

Q: 11/6 is the wrong answer

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Q: Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a…

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Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

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Q: (n^2-n)+((n-1)^2-(n-1))+....+(1^2-1) =n(n+1)(2n+1)/6 - n(n+1)/2

A: We shall first derive the formulas for sum of first n natural numbers and sum of squares of first n…

Q: ind witnesses to show that n^3 − 5n^2 − 4n is O(n^3).

A: In this question, order of polynomial can be found with the help of Big-O notation. Big-O Notation…

Q: What is equal (1+5 k+3 j) (1+2 i+3 k) ^{- 1} Write the coefficient at j & k ?

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Q: problem is from discrete math regarding profs my strong induction. If you can’t help, no worries,…

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Q: (x/x-3 ≤-7 or x − 3 ≥ −6] terval notation.

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Q: [a] z = dz dr D 4+4-³ P d/y +2 = (4+48-8³) a (x³/2) - 83/2 d (4+48 -√3) (4+48-83)2 3 (4+48-8³) 50 -…

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Q: find a simple recursive definition of the sequance with general term tn=2(n-1)+7 for n>2

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Q: True or false: If a,b,m are integers with m > 0 satisfying m|(a^2 − b^2), then m |(a −b). Justify…

A: Given Information: If a,b, and m are integers satisfying m|a2-b2. To check: m |(a −b) for any…

Q: This will be (n+k-1)= 29+6-1 29 -¹1) = 34 29 = 278, 256.

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Q: prove (1+ )" in <4 for all n21

A: In the given question we have to prove that  1+1nn&lt;4∀n≥1 . we can prove this by two methods one…

Q: Add as indicated in the following exp (2)/(5(k-3))+(4)/(3(k-3))

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Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

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Q: Differentiate the following: (a) (2x – 1)*. (b)(5x + 1)* (3 – 2x)* -

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Q: Prove Vn € N, 1 1 + 1 2 + 1 3 + + 11 2n - 1 + 2n ≥1+ n 2

A: Let's prove the given inequality step by step:Base Case (n=1):11≥1+12This is true, as 11=1 and…

Q: (z+1)(z+6)(z+10) z(z+2)(z+3) 3. What is the residue of at z = -2 (z+3)(z–2)² (z+2)(z+6) 4. What is…

A: 3) Given f(z) = (z+1)(z+6)(z+10)z(z+2)(z+3) Then Res(z=-2) = limz→-2(z-(-2))f(z)= limz→-2(z+2)f(z)=…

Q: Prove the following using a direct proof.  If a,b, and c are integers such that b is a multiple of…

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Q: 1- x**! 1- x n+1 6 (x # 1) r=0

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Q: what are the first three terms in the binamial, expansion of (2a-0,5b) 1.

A: Given

Q: The 4th term in the expansion of (2x² – 3x)* is - 10 Ca (2r²)*(-3z)® O 10 C4 (2a²)°(–3x)“ O 10 C3…

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Q: pls help asap!!!

A: According to guidelines we solve first three subparts when given multiple subparts.

Q: can you show me the steps by steps how to foil (1-u^2)^3. I keep getting the answer wrong

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Q: Suppose there is a currency which only uses 3-cent coins and 7-cent coins. Prove that for all…

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Q: Use a random number generator to generate 50 values between zero and one (inclusive). List them in…

A: Note: Hi there! Thank you for posting the question. As there are multiple several questions,…

Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

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Q: I also found that the expression was divisible by 13 at n=6 and n=10. Is there anyway you could…

A: Any number n can be written in the form          n = 3m, or 3m+1, or 3m + 2 for some integer m.…

Q: e3x + 6 enx e(n+1)x = 1+ e® + 2 Sx n! (n+ 1)!

A: The given series is : eex=1+ex+e2x2+e3x6+·····+enxn!+en+1xn+1!   Let fx=ex The above function can be…

Q: 1. Express × (4)* X 3 as a power with a base of 4. (*√16)³

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Q: Using strong PMI, show that every natural number is a sum of powers of 2. For example, 11 = 23 +2¹…

A: Using strong PMI, we have to show show that every natural number is a sum of powers of 2.

Q: Prove by weak induction that (7^n) – 1 is a multiple of 6 fo

A: To prove that by weak induction 7n-1multiple of 6 for alln∈ℕ.