If A = (; A-: )-..R. e M2x 2(R), find A" for any positive integer n.

Q: (a, o) is not measurable.

A: to find that a,∞ is measurable or not  proceed as follows We know that every interval is measurable.…

Q: Do not use a calculator in this question. (4 V5 – 2)? V5 – 1 CamScanner로 스캔하기 Express in the form…

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Q: Calculate M, for f(x) = 6 · In(æ³) over [1, 2]. M6 ||

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Q: 3. Use the Racetrack Principle to show that: In x 1

A: The Racetrack Principle :-

Q: 6. Show that, for integer s, S. s! | x25+lexp(-ax²)dx =: 2a +1

A: Note: Given proof statement has a little mistake, I have proof the actual result. First i have…

Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: Ive for æ if In(x? – 1) = 0.

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Q: Express In V16 in terms of In 2 and/or In In 16 =[ (Type an exact answer.)

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Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

Q: of Voots of the equation. 2x+3X+5=0 is The muttiple is Ę 2. 3 Prove That The sum

A: Use the formula for the sum and product of the roots of a quadratic equation.

Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

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Q: 1. • If r + 1| < o, prove that |r³ + 1| < 0.331.

A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .

Q: and oh if as Find (i) hlYis) = L0ggo %3D

A: Given h(r,s)=logsr To find delh/delr and delh/dels

Q: Provide a left-hand-side, right-hand-side proof of the following: dt

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Q: Find the probablity that in one day, the student is studying a. less than I hour b. between 2 and 3…

A: The random variable X be the total number of hours spent by a student to study The probability…

Q: x is even and v is any integer, then their produc

A: If x is even then x=2m where m is any integer y is any integer,  Case I Let y be even y=2n where n…

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: Show that for any n E N, 7(15".

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Q: Prove that E, k2* = (n – 1)2"+1 +2 for all n > 1. =D1

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Q: Let A 3 and U = |- Then A2017U is equal to

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Q: Show that any positive integer n with n ≥ 4 can be expressed as n = 2x + 5y where x ≥ 0, y ≥ 0.

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Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't…

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Q: a n eln t--+

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

Q: Compute P2.

A: As per bartleby expert policy only one individual question is to be answered. Kindly repost second…

Q: Find x for which det(A)=0 7-x -2 A = 1- x 0. 5- x The sum of the answers is....

A: See the detailed solution below.

Q: Show that for all n E Z, n² 5.

A: Consider the given condition: This shows that whatever will be the values of n, it will always be…

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

A: Given: For all n∈ℤ, n2-3n+1≠2

Q: What is/are X-value(s) in ex2-3x+2)= 1? 1 (2,1) none of these O O

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Q: Suppose X~N (μ,σ') then X – H - - N (0, 1) o2 O True O False

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Q: Then k is equal to

A: We know that integration of density function over whole range of x, is always 1. We will use this…

Q: If 2x³-4x² + x + 1 = 0 so x = 4x² - 2x³ - 1 then x5-x4|<e, X4 = 1.36603, x5 = 1.366024, is the error…

A: Given x4 = 1.36603x5 = 1.366024

Q: If tanh '() = 1- 12/3, then z = %3D In + 종 In O In In

A: As per the question we have to solve the complex equation and find the exact value of the complex…

Q: - is a real num 1S y+z= 6, 4x +

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Q: O N (AT) = R(A)-

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Q: FOR N=195, by fermat's theorem an-2 =

A: Given: FOR N=195, by Fermat's theorem an-2

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

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Q: Suppose X~N(112,16), and Z~N(0,1). Then x = 112, is equivalent to z = ______.

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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: es lls ew zeiflucifiib ons einiseen stigesber Show that for neN, (2n)! ' (r!)² ((n −r)!)² - 7=0 2n -…

A: We will use binomial expansion to prove given relation

Q: Suppose PRo=62 this means that 38% of observations greater than 62 %3D 80 Select one: O True False

A: Given a statement about P80. We have to choose the statement is true or false.

Q: Suppose thát the captain of a ship that is in distress must send a

A: sollution is given below:

Q: What are the value for sup e-* = е x>0 and inf e * - = XER

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Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

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Q: TO -n invested on the day of their niece" uously? $

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Q: d) Show that whether 0 = Y is sufficient or not. max

A: Given function is: f(y)=1θ,      0≤y≤θ0,         elsewhere

Q: x | X> 3) =? and E [X | X> 3] =?

A: X ∼ exp (λ)  having pdf  f(x)=λe-λx      x&lt;0

Q: If p,q,r are prime number but p is not equal to q, then what is gcd(p,q)? What is the smallest…

A: It is given that p and q are prime numbers. Assume that gcdp, q=d. Then, d is the greatest common…

Q: Is there any n n for which U2n = Dn?

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Q: Suppose that r, s are integers (possibly different from x, y res that ar + bs = c. Show that there…

A: Introduction: Let us suppose that two integers are a and b, greatest common divisor of these two…