8. of is g integerl the following For which values Convergent? dx
Q: dæ x-1 1
A: Solution: The objective is to find whether the given integral converges or not
Q: 1. Use an appropriate way to determine whether the following is convergent or divergent. k 'Ink i. Σ…
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Q: 1 E(-1)"+1, ( n + 1 ) . 3η n=1
A: To find whether converges or diverges
Q: 1 dx (x + 1)2 -2
A: We have to determine whether ∫-2o{1/(x+1)2 }dx is convergent or divergent. Let I = ∫-2o{1/(x+1)2…
Q: I. Consider an = V4n² + 3n – 2n for n >1. 1. Determine if {an}-1 is convergent or divergent. 2. Is >…
A: Simplify the expression of an. Multiply and divide the given expression of an by 4n2+3n+2n to…
Q: 18 For which numbers a does x,+, = a{x,– x) converge to x* = (a – 1)/a?
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Q: 00 Determine whether the improper integral ²+37+1 e dx converges or diverges. Show all your steps.
A: Since there is infinity in the upper bound, this is improper integral of type 1. To evaluate an…
Q: 1 n=2 n(Inn)P -4
A: We need to find the value of p for which series convergent.
Q: Are the following convergent or divergent? Show your work and state the reason 100 11) Ση n=0
A: The summation of n, n from 0 to 100.
Q: 1² + 11 For what value(s) of n, the integral dr converges? Justify In + 8x2 + 2 your answer.
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Q: 1 dx is convergent True 8
A: Solution is given as below:
Q: ? 4. Show that the sequence {fn}, where nx fn(x) = XER 1+n²x²⁹ is point-wise convergent but is not…
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Q: 10. Suppose that the function by the power series 3 X f(x)=1= =+ = + ... + (−1) 2 4 8 Find the…
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Q: 1 3 .5 4 X +x
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Q: Let pn = 5(6^n) + n^7/6^n. Show that, as n → ∞, {pn} converges to 5 linearly with rate 1/6.
A: Given that pn=5×6n+n76nTo showlimn→∞pn=5and rate of convergence=16
Q: 59. Show that 1- sin x dx converges. x? 00
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Q: Q6. (i) Given Iog(itt) = tE+ t'-t"+ -.., valid for IEl<1, determine the power serhes for log (+2x )…
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Q: Q1-) Determine whether the following functions are convergent or divergent: 1 1- En=1 ((3n-1)*/…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 5. (a) Suppose 1 and Xn+1 = 2 Show that {n} converges and find the limit. X1 for all nEN.
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Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…
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Q: 3) For which a does converge? Justify your answer. n(ln n)ª n=2
A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…
Q: For which values of p does £=1 converge? (1+eon)4p
A: Given: To explain the given statement as follows, .
Q: (In(n))" 00 Find the value(s) of a such that 2 is convergent T2 Answer:
A: Given that, ∑n=2∞lnnan By using the integral test, ∫2∞lnnandn It can be written as, ∫2∞1nlnnadn
Q: 3 If Xn 4 and ly,l0. Select one: True O False
A: Given, xn → 4 and yn≤31n2n for all values of n To determine whether ∑ xnynp is absolutely…
Q: (A) True B) False The sequence {x}to, where xn = Sn² 20" is convergent. n! :
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Q: Show hat he following a sen) lun vergıs for any p> e (-1)" Σ nニ」 for whar value) of p is it…
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Q: 4. Which comparison would show that dx converges? x + e*
A: According to the given information, it is required to tell which comparison would show that the…
Q: Find the smallest positive integer n so that S, approximates the sum of the convergent ser to four…
A: Here we have to find the smallest positive integer n so so the Sn, approximates the sum of the…
Q: Date. Q. Find the Fouries Series f )-- 0 4x <T
A: The given function is: f(x)=-x-π-π<x<0x+π0<x<πWe have to find the Fourier series of the…
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: 00 Q5. Evaluate , e z dx if it converges.
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Q: (8) Find all k so that aek= dx converges. In this case, find the value.
A: Given problem:-
Q: 6. S o Inx dx Evaluate it and state whether it converges or diverges. 1 х2
A: Given: I=∫0∞lnxx2dx
Q: Use sequence
A: converges.
Q: B) > n! (4x – 6)" is convergent for x = n=1
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Q: Which test to use and is it convergent/divergent? Σ 16n2 – 8n – 3 n=1 - -
A: Use the ratio test, L=limn→∞an+1an=limn→∞116n+12-8n+1-3116n2-8n-3=limn→∞16n2-8n-316n+12-8n+1-3
Q: 00 3x as a power series f(x) = >) Represent the function 2 + x n=0
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Q: For which values of p does E=1 (1+eon)4p converge?
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Q: o Inx 2. For p>1, is S, dx convergent? 1 xP
A: It is the improper integral of first kind , limit of integration is infinity. There is so many test,…
Q: 1dx x²+2x+5 -00 O diverges O None 37 converges to 4 converges to converges to converges to 3r
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Q: n=1 3" 2n2 M.
A: We shall use elementary knowledge of Series and summations to answer this question. Note that…
Q: 11 dx Determine whether is convergent or not. (3 – x)2/3
A: As the value of Integral is finite, it converges.
Q: For values of 9, 6 70 to llowing integod is which Convergent? 2* (1+ x)
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Q: n! Determine whether E- converges or diverges. Zn=0
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Q: If I want to show that >1 an is convergent, it would be appropriate to use the direct %=D1…
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Q: 1 ·dx (х + 1)2 -2
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Q: 2) To what number does E-L T Converges? (-3)" m=1 gn+T
A: Given expression is ∑n=1∞-3n5n+1. Let the given series be ∑n=1∞un . ⇒un =-3n5n+1…
Q: +00 1 dx xln*(ex) 4 e
A:
Q: cos" (;) is absolutely convergent, conditionally convergent, or divergent. en?
A:
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- Show that: if A occurs in a larger proportion of cases where B is than where it is not, then B will occur in a larger proportion of cases where A is than where A is not.Assuming that workers' salaries in your company are uniformly distributed between $10,000 and $50,000 per year. Find the amount of money that 35% of the workers make more than that value?1. Let x be the number of red balls among 3 balls randomly selected from a bag containing 9 black ball and 6 red P(x=0) P(x=1)
- An SRS of 100 flights by Speedy Airlines showed that 64 were on time. An SRS of 100 flights by Happy Airlines showed that 80 were on time. Let pS be the proportion of on-time flights for all Speedy Airline flights, and let pH be the proportion of all on-time flights for all Happy Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines? To determine this, you test the hypotheses H0 : pS – pH 0, Ha : pS – pH 0. The P-value of your test is 0.0117. Which of the following is an appropriate interpretation of the P-value? a. If the on-time rates for the two airlines are equal, there is a 0.0117 probability of getting samples with a difference as far or farther from zero as these samples. b. If the on-time rates for the two airlines are not equal, the probability of getting samples with a difference as far or farther from zero as these samples is 0.9883. c. The probability of making a Type I error is 0.0117. d. The probability of making a Type II error…Let N(t) be the percentage of a state population infected with a flu virus on week t of an epidemic. What percentage is likely to be infected in week 4 if N(3) = 8 and N'(3) = 1.2?A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α{=0.05. (d) Conclusion for the problem above is
- 3. Is the following variable discrete or continuous: The number of questions asked during a 1-hour review session.Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…38- Religion of a person is grouped in to __________ of following variable. a. None b. Quantitative c. Qualitative d. Continuous