5. Let S(m, n) be the Stirling numbers of the second type. ) Evaluate E C)iS(m, i) for n = 2,3. (a) í ) Find a formula for (:) i! S(m, i), and prove that your formula is correct. (Think (b) about what i! S(m, i) counts.) =D1

Q: if 2E2, f(2)= 12₁² find @if 20 then f/2) not exists Oif 2=0 then find f(z)

A: Given that fz=z2, then find  1) If z≠0, then f'z not exits. 2) If z=0,then find f'z.

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A: To solving the system we use the Gaussian Eliminating and back substitute method

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Q: 36x12. -1. Provide appropriate 6x6 –1 (b) Find the least integer n such that f(x) is O(x") for ƒ(x)…

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Q: 3. Nadia's Fashions d ing a new sales pro (a) Find N'(4).

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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Q: Which of the following appears as the first row of OA. [-3 2 1] OB. [1 2 1] OC [111] OD. [203] OE.…

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Q: (c) Check whether or not: Q (2¹/³) = Q(4¹/3) Also obtain (Q (2¹/³): Q].

A: We first find [Q(2^(1/3)):Q]  Then using this prove that Q(2^(1/3))=Q(4^(1/3))

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A: We know , (a/b)n = an/bn

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A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: M=- (1-4w²)²+(2w³+2w)² 1 (1-4(0.6435)²)²+(2(0.6435)³ +2x0.6435)“ =0.516 GM=1 M 0.516 =1. 93 PM=tan-…

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Q: Find sequences (xn) and (yn) so that xn - Yn 0 and yet does not converge to 1 Yn

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

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A:

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Q: 8.5.3 Еxample C Consider the equation Aar+b = cx + d, (8.197) where A > 0, a + 0, b+0. (8.198)…

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A: Given  function  is  We  have  to show that .Suppose  that

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A:

Q: 1 If y = itci e? and y(0) = -1 then 1+cq e¬* Select one: O a. 1+ c1 =-1 O b. C = -1 O c. 1+ C1 = 1 O…

A: Given  y = 1/(1+c1e-x) and y(0) = -1

Q: 16. (T/F) If A and B are 3 x 3 and B = [b₁ b2 b3], then AB [Ab₁ + Ab₂ + Ab3]. =

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Q: Q2 (Bayes' Theorem) It is given that P(B|A) – 0,15. P (B|A) = 0.03 and P (A) = 06. Compute P(A|B).…

A: Ac=A bar  P(B/A)=0.15, P(B/Ac)=0.03, P(A)=0.60, P(A/B)=?

Q: Show that: n n > (xi – x)2 > x? – n(x)2 | i=1 i=1

A:

Q: N-1 Σe²rijk/N = 0 j=0 when 0 <k < N. 3 Exercise 7. (a) Equation (3) does not include the case k = 0.…

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A: Here we will use the ratio test for convergence of series

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Q: (1 2 43) 32 1. IF A = THEN (A) (B) (X Y) Z W

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Q: (1) (a) show that 21 divides 4+1 +52n-1 for n ≥ 1 (b) Let T₁ = 3 Tn Tn-1+2" for n ≥ 2. = Show that T…

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Q: Find the first 3 iterates using x² = x + y² y(o)= o` Successive Approximatio

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Q: sv(8vh) (8→i)^(h→j) B. (i→j)→(fvh) .h Proof: Step Statements Reasons sv(gvh) (g i)^(h→j) gvh iv j…

A: We are given the following Logic: f∨(g∨h)             : Premise 1(g→i)∧(h→j)    : Premise…

Q: (7) Let X = P(2) and E-x)= E(5– 5x), then 2 is. (a) 25/26 (b) 26/25 (c) 12/26 (d) 26 (e) None of…

A: Given X~Pλ and E15x=E5-5x

Q: (C (g+1)n-((q+1)²-1) (g+1)n-[(g+2)²+(5q+3)] n-(q+1) (₁-2-(79+6)) II 1 + [²_o (q+1)k-(q+1)t-q k=1 = ⠀…

A: Given: The Information that leads to the required proof.We need to show the equations marked in red…

Q: If u, v are given unequal numbers anu (un-1+ Pn-1), vn = V (u –1 Vn-1), where n2 2 , %3D Un %3D 2…

A: Given

Q: „¸ 1) and ♂ = (1, 1, 2). Find || ☎ – proj♂¯||. d) 2√3 3 (e) None of these

A: