Find the coefficient of degree 2 in Taylor polynomial for f(x) = In (1+ rx) about x = = 1.

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Q: 34) Which of the following improper integrals converge? roo 1 -dx x In(x) a) 1 æ(In(x))?dx cos(x) c)…

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Q: If a, b, c are in A.P., then prove that ao +C), b(c +a), c(a + b) ab are also in A.P. bc са

A: arithmatic sequence prove , a, b,c are in A.P then prove

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Q: Let 12 -24 -3 -32 10 -23 -2 -32 A : 19 -36 -6 -48 -5 12 1 17 Find a matrix P such that D = P- AP is…

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Q: Determine what rule of replacement was used: (Z ɔ (A ɔ B)) .. (Z ɔ (~ ~ A ɔ B)) A Transposition B…

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Q: 26) Consider the function S1 if 0<x < 1, х ifx€ [1,2]. f (x) = Let F(x) = So f(t)dt for each a € [0,…

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Q: 12) Given a power series E anx", if lim da+1= L where 0 < L < o, then the radius an n=0 1 of…

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Q: Solve the following ODE using Laplace transforms, a"-8x' +7x =t5(t-4)where r(0) = 0 and a' (0) 16.…

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Q: D. If C is a cost function and ° C'(q)dq = 1000, it means that it costs 1000 to produce 69 items.…

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Q: Solve this ODE using the Frobenius Method x*y"+x²y'-2y = 0

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Q: received an invoice for $6,000 that had payment terms of 2/10 n/45. He made a partial payment of…

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Q: as an axis of symmetry at x = –2.   B. The range of f is the set of all real numbers.   C. The…

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Q: Given the two series: n+1 (1) En=15+2" and (II) En=1n² sin²(n) Using the direct comparison test…

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Q: C' (t) = (20t + 28) /2.5t² + 7t, for 0 <t < 15, %3D

A: Solution

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Q: Solve the given system of linear equations using the Gauss- Jordan Elimination. 4.)   2x1 + 7x2 +…

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Q: +1 (x+1]I- (x+1)2 lim 2

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Q: Find aw in terms u and v if du w= In(x2+y2 +z²), x = ue" sin u, y = ue' cos u, z = ue"; (u, v) =…

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Q: Consider the following function. g(x, y) = e2r - Sy² + 10võ y (a) Find the critical point of g. If…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: atb)

A: Given,        a+b2=