S = {n € N|(-1l < n) ^ (n mod 7 = 4) A (n< 10)} %3D %3D each item in a set (e.g. {1, 2, 3}). We assume that the natural numbers

Q: p for which In (n) Comvenges

A: Given∑n=1∞ln(n)np

Q: The results of a mathematics exam at JUST university for two cla Class 1: (n=32, mean=15.7, SD=8)…

A: Given,n1=32 , μ1=15.7 , σ1=8n2=36 , μ2=4.5 , σ2=12α=1-0.95=0.05α2=0.025Z0.025=1.96

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A: Answer

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Q: 62. a. Show that e>1+x for x > 0.

A: We will answer the first question only as those all are different and we don't answer multiple…

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Q: The formula for calculating the sum of all natural integers from 1 to n is well-known: n² + n 2 Sn =…

A: Given:  Sn= 1+2+3+.......................+n = n2+n2and,Qn=1.1+2.2+3.3+...............+n.n=n33+n22+n6

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Q: 8 Let k(x) = |x|", n = 1,2, ... Is k differentiable for all x and every n? Find a formula for k' (x)…

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Q: Find a number n e N such that 2" > 102000 and 2" has among its 2000 last digits at least 1000…

A: We will use logarithm to solve the problem

Q: The formula for calculating the sum of all natural integers from 1 to n is well-known: n² Sn…

A: This question is related to principal of Mathematical induction . solve in step 2.

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Q: In a parhiculor bowling league. a sampla of 38.games had an average Score ef 199. a 90% Con fidence…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: 3, Re call Eudlid's proof of In finitude * primes! Shouw that T Cx): = 1{ ps X: p-pinae }12 logz…

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Q: (Зп+5 Find infimum of A |n E N} n+9

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Q: Suppose that there are currently unemployed workers în some state. Each mðnth 8% of all those…

A: Given data: Number of unemployed workers=25,000 Let x be the number of months. Given that each month…

Q: et H={Φ∈Sn | Φ(n)=n}. Find index of H in Sn.

A: H=ϕ|ϕ(n)=n=I (group of identity permutation)o(H)=1o(Sn)=n!index of H in Sn=n!1=n!

Q: 01. A gardener was observing thd behavior of the roses that he transplanted a week ago. He observed…

A: ANSWER :

Q: The minimum value of N such that the remainder estimate given in the text guarantees that SN…

A:

Q: (b) Use the iteration formula 4(3-х,) (3+x,) with x, = 1 to find, to 2 decimal places, the value of…

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Q: The interval [0,5] is partitioned into nn equal subintervals, and a number xi is arbitrarily chosen…

A: The given interval is [0,5]. Find the xi.

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A: Given query is to find how long it will take when there are 100 million infected.

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Q: 10. Use Limit Comparison Test to determine whether the 2n – 5 п Zn=1 n² + 3n + 3 Ln=1 /n³ – n+ 1

A: As per our guidelines we have to solve one question Please repost other questions again

Q: Suppose that an urn initially contains r red and b blue balls. At each stage a ball is randomly…

A: Given, number of red balls initially in urn = r number of blue balls initially in urn = b At the…

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A: Reframe the function and find the term for x.

Q: 1 arctan In(n). 1=1

A:

Q: Find the limit of the sequence bn = (cos n)/(n2 + 1).

A: Given sequence is bn=cosnn2+1.

Q: How many bitstrings are there of length 2n that contain exactly n “O"s and n “1"s? Prove your result

A: Given that,   The length of bitstring =2n, i.e If we have a bitstring, it should only contain 0's…

Q: The interval [0, 4] is partitioned into n equal subintervals, and a number x, is arbitrarily chosen…

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Q: 2. (a) For n ≥ 0 and x E R, prove that (b) Prove n n Σ ^ (^.) 2^* (1 - 2)"-* k k=0 = = In. n x)n-k…

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Q: 1 Use appropriate tests to determine if E(-1)"+1, converges. n* log(n) + n! n=1

A: use appropriate test to determine whether the series ∑n=1∞-1n+11n4logn+n! converges according to…

Q: Let I be ar. V. has a Binomial dist. B(n,@) with the Pid.f. fex; G)o-0^,X:o,n Show that fex;)…

A: Given that X is a random variable which has binomial distribution Bn,θ with p.d.f is given by:…

Q: 8. If l is the output for Carmichael's function machine shown at right, how can you determine what…

A: Since the output for Carmichael's function machine is 1. Equate x2+2x+1 to the output value of 1 and…

Q: Find a positive number x such that the sum of 36x and is as small as possible.

A: We will use basic knowledge of functions, differentiation, and the second term extrema test /…

Q: (a) Five members of committee are to be formed from three females and four males. In how many ways…

A: a) Numbers of females (f)=3  Numbers of females (m)=4  i) The number of ways are =2 females and 3…

Q: Find the limit of the following sequence: 00 cos(2n? + 10) (-1)"-ln3 n=1

A: The objective is to find the limit of the following sequence.

Q: 5. Prove that . Hint: Compute e-' from the continued frac e - 1 1 + 2 + 3 + ·…. tion for et given in…

A: When a series is in the form ∑k=1∞-1k-1α1α2α3...αk, we can express it as a continued fraction as…

Q: Glven 2 state the con cauity and verify by analy 2ing the signs of the Eリ1] = 3-2.e secand…

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Q: 1, thên kX KX < ky

A: Here are real numbers such that if , then

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A: Introduction: Denote the random variable X as the number of firms violating at least one of the…

Q: 1. How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n >…

A: For the solution of the problem follow the next step.

Q: Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4…

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Q: Determine the one dimensional DFT for the following sequence x(n)= { 0,\ / 7 / l }

A: Sol:- Given Sequence :- xn=0,1,7,1One Dimension DFT  is given by Xw=11111-j-1j1-11-11j-1-j0171

Q: Use a fixed-point iteration method to determine a solution accurate to within 10-4 for x = tan x,…

A: