how do I solve this using discrete math. Claim 3n2+8n-5 ≠ O(n). You prove such a claim by showing that ∀c>0, n0 ≥0 there exists n≥n0 : 3n2+8n-5>c*n. For problem, you need to determine a formula for the smallest value of n for which the statement above is true (in order to prove the claim.) Once you get formula for n in terms of those variables, plug in the following values for   and c and  n0. c=39,  n0=3. Use formula to determine the smallest value of n for which the inequality holds. round answer to the nearest 2 decimal places

Q: 1+i Find the least positive value of n, if =1. 1-i

A: We know that i2  = -1   i4  = 1

Q: -1)*+1 Ln=1 ¯n•I0* O error| < 2 × 10 -6 O error| < 2.5 × 10-6 O error| < 2.5 × 10–5 O error| < 10-5

A: Given: ∑n=1∞-1n+1n.10n. All the options have 6th term expanded. Therefore, we will check for , n=6.…

Q: 10. Give a combinatorial proof: For n ≥ 1 and k ≥ 1, (n)k = n · (n − 1)k-1.

A: To give: A combinatorial proof: For n≥1 and k≥1, k·nk=n·n-1k-1.

Q: a || b m. 2 1 4 3. n 6. 8 22 = 10x – 4 and m26 = 5x + 21

A:

Q: solve 5.3 (using k(pi-k)/2) and setting k =pi/2 or by your own methods if you have easier ones

A: It is known to us that

Q: 3 21. (k +1) k=1

A: The given expression is, ∑k=13(k2+1) To find the sum of the expression from k=1 to k=3 substitute…

Q: Please solve this problem in easy way that i can understand. please dont explain to much for this…

A: Given: Let P(n) be the statement that n+3=n+7 The objective is to prove that P(n) is true for all n…

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A:

Q: The small positive integer n for which (1+i)=(1-1)" is =. ........ 8 4 12

A:

Q: п(п + 1) 15. Verify that E-1k is equal to for the cases (a) 2 n = 2, (b) n = 8, and (c) n = 9.

A: We have to verify that ∑kk=1n=n(n+1)2 for the cases (a) n=2 (b) n=8 and (c) n=9

Q: Which of the following is an integer? O -3 1. B) 4. O-12.5 D0.454545...

A:

Q: Solve for n. k (3-n) %3D

A: b=k(3-n)pbp=k(3-n)

Q: Find the sum 1 9k2 + 12k – 5 k=1 Express your answer as a rational expression in terms of n.

A:

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: Show the solution that a,+1 < a, for each n E N (-1)" п! n=1

A: Find your answer below

Q: II (1-) п+1 (for n > 2). 2n i=2

A:

Q: all n N we have We apply this successively for n = bn+1 bn N, N+1, n 9 bN+1 < (m + €)bN bN+2 < (m+…

A:

Q: 4. Explain what is wrong in the following "proof." CLAIM. Let x be a real number. If a is…

A:

Q: Prove E-1(4i – 3) = n(2n – 1) for natural numbers n 2 1. i=1

A:

Q: 3* 1. Calculate the sum (k – 1)! k=4

A:

Q: Q2 1-The Euler's number (e) is a * rational number a. True b. False

A: Rational numbers are those which can be represented in the from of fraction and those which can not…

Q: 5. For n ≥ 1, establish the formula (2n + 1)² = (4tn + 1)² – (4tn)².

A:

Q: n(n-1) 2 this statement to justify the following. (n+³) = - :)-( (equation 1). 2 (n + 3)(n + 2) 2…

A:

Q: 34) Ź (K²_2K) is e (n3) Ź ķ? ビ=3 Ź 2K = k=3 ntro)(2n+1), entntt) Sungs are さ。 2n3+ 3n?+n – ant- Gn…

A: We have solve the given  problem

Q: The postfix search of the expression 8 (3- 1) +2 x 5 is O a. None O b. 31 - 8 : 25 x + Oc8:3-1 + 2 x…

A:

Q: 3. Pick an interesting positive integer a with a > 20. 1 (a) How many nonnegative integer solutions…

A: It is given that a&gt;20. (a) The objective is to determine the number of nonnegative integer…

Intelligent Machines

Machines that use artificial intelligence to learn from the environment and past experiences to perform better in the presence of variability and uncertainty are called intelligent machines. Intelligence develops according to environment and experience. It is human-like behavior. When the computer system or any programmed machine learns from the inputs and corresponding outputs, it can be called an intelligent machine.