Use the Root Test to determine convergence or divergence (or state that the test is inconclusive). Σ(2) Πακι L = lim k K-00 =

Q: f X~N(196,20), find x such that Pr(X < x) = 0.563.

A: Given data  X~N(196,220) Normal distribution with mean=196 and standard deviation =20 P(x&lt;X) =…

Q: Let f(x) = 6x² + 2x³. Select all intervals where f(x) is INCREASING, (3) (0, ∞) (,0) (-∞, -3¹²¹)

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Q: Determine whether the following series is convergent or divergent (-1)"3n² 4n2 –1 (b) n=1

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Q: X~N(1.8, 0.4).  Find P(0.9 < X < 2.3).  (Round to 3 decimal places.)

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Q: x • e e- for x <x < ∞ f(x) elsewhere

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Q: If X~t(10) then the p(x < 2.28)

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Q: Test for convergence the series 3.6.9 ... 3n (i) E x" (x > 0), 7.10.13 ... (3n + 4) I1 = | 2.4.6 ...…

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Q: xp Vx(x + 5) converges O diverges

A: CONVERGES

Q: tind the inderval of Conergence of the pacer Sevies nニ1

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Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

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Q: y=x-x3/3+x5/15-..... Find ratio test for convergence

A: Given series  y=x-x33+x515-..... Find ratio test for convergence as follows. Series can be written…

Q: Apply the Intermediate Value Theorem to determine whether 8* = x has a solution on the given…

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Q: Let X~N(3,0²). Suppose that P(3<X<6)=0.4 · find P(X<0) ?

A: Given: X~N3, σ2 and P3&lt;X&lt;6=0.4.

Q: 5. Let an be a power series with radius of convergence 2 and note that the constant term is 0. Show…

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Q: X ~ Exp (1/9.848) 1) Find P(X<12) 2) Find P(8<X<14)

A: It is defined that the variable X∼Exp(19.848).For the variable X follows an exponential distribution…