I: | a, - al <ɛ V n z n(ɛ), for any given e > 0. II: | an - aml< e V m, n 2 N, for some NER. III: | a, - aml→ 0 as m, n → o. A. I and II only B. I and III only C. II only D. III only E. None of the above.

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A:

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Q: pmf of x 12-X P(x-x)=√12) (0-75)* (0-25 )¹²-X =X(12) a) P(x>2) = 1- P(x<z) = 1- [P(x=0] + P(x = 1)]…

A: Basic concepts of probability are used

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A: We have to solve the inequality

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A:

Q: 0, which expression is equivalent to 8\xy+ 64vx ?

A: Given : 8xy+64x

Q: Let f(r) z-6z and g(r) -6. Evaluate the following 1. (o g)(z)= 2. (g (z)= 4. (g)(e)

A: The given function is fx=x2-6x and gx=x-6

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A: This is a limit based question

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Q: Evaluate: [- e2x dx J ex+1

A: SOLUTION-

Q: A les por esto mo ban SCLO22 (LOW SRA T Page 15 of 38 2 (a) Find the m<ARG. Work is required and…

A: We can answer both the question in the below steps.

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A: Given that , z=x5+y6 , x=uev , y=veu find ∂z∂u and ∂z∂v using chain rule II.

Q: Match these values of r with the accompanying​ scatterplots: 0.762, −0.994​, 1, −1​, −0.404.

A:

Q: If (f +g) € R[a, b] , then (f.9) € R(a, b] (f - 9) € R[a, b] E R[a, b] none of these

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: Solve the following operation 3/5 × (²²/₁) X -2 9. 83 b. -83/5 C.-8 d 42 N 5

A: consider the given multiplication,

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A: Given X follows Bernoulli distribution.  Than we have to find the distribution of Y= 1-X.

Q: * Given : the constants C,D; the functions F1 (1eof argum G/2; the predicates P/1, R12,Q13- Which of…

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Q: II. Identify the main operators in the following statements. 1. (U• -P) > (Q v L) 2. -K = (L v -M)…

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Q: b) Evaluate UTM L{t*e- 6(t-2)}. TM

A:

Q: { - (2)*} |리 > 2 z – 2 |리 > 2 z + 2 |리 > 2 z – 2 |리 > 2 z – 2 3.

A: The given problem is to find in which complex expression the given term {-(2k)} will be obtained. We…

Q: If k = (0.0003,-0.0012, 0.0015,-0.0014) in R4 then -5.2||||=0.0062

A:

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

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: For x-e" y=5*, find y 3r, find when (In 5-1) 12 In 5(In 5-2) 2 -In 5(In 5-2) (In 5-1)

A: We have to solve

Q: n=1 35. Suppose x is an accumulation point of {a,:n E J}. Show that there is a subsequence of {a,}=1…

A: We need to show that there is a subsequence which converges to x

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Q: The value of | 1/a da is O e+C O +C O a 2 + C O In(r|) +C O None of the others.

A:

Q: 10. Find all analytic functions such that its real part u = u(x, y) satisfies the differential…

A:

Q: X2, ..., Xn, y1, y2, ..., yn, then z is equal to x (A) x + y (B)*+ỹ (C)*+ÿ n (D) x + y 2n

A:

Q: The dual of the following Boolean expression is (0 +1)(1+ yz) + 7 O (1.7) + (0.y + 2). z O (1.7) +…

A: We have to find the dual of 0+x1+yz+x

Q: II. Determine the Re[z] and Im[z] of the given item below. 10 1. z = 2.z= (cosT + isin)" 10 3. z =…

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: Let x, y E N, determine each of following statemen is true or false (N means Natural number, natural…

A:

Q: Let A; = (-00, ) for all i > 1. Show the following statements i) UA; = (-∞, 1) i=1 ii) NA; = (-0, 0]…

A: First we have to determine the relationship between each elements of the given set.

Q: 2. Completely simplify O(+1), x4, x-4 3(x+4) 2(x-4) O4, x4, x-4 2(x+4) 3 O4), x4, x 2(x-4) −4 3…

A: To simplify the given rational expression

Q: 4x-100 over 10 minus 15-x over 5

A:

Q: DeMorgan's theorem states that Select one: a. (A + B)' = A' * B b. (AB)' = A' + B' c. A' + B' = A'B'…

A: We are given some statements to verify De Morgan's theorem. We can do this in the following way:

Q: 6 - X < 6 X - 8

A: 6-x &lt; 6x-86 &lt; 6x-8+x

Q: 5(x+1) =x+1 if x = 1. O True O False

A: By solving this equation we get,