Determine the number of permutations of the set {1 ,2 ,..., 14} in which exactly 7 integers are in their natural positions

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Q: 8. Find all values of (a) 212i.

A: Use the given information.

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Q: (B) Let I be a maximal proper ideal of commutative ring with identity R. Prove that R/I is a field.

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Q: a) Construct a Macluarin series (general term, 4 worked out terms, convergence domain for the…

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Q: The approximation of I = , cos(x³ - dx using composite Simpson's rule with n 3 is: 3.25498 None of…

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Q: Find the lengths of the curves in y = tan x, -7/3 < x < 0

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A: Solution 10: Given J=set of all positive odd integer, (a*b)=2(a-b)+1 Groupoid: An algebraic…

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A: Solution : verify  F(1,1;2;x) = -x-1ln(1-x)We know that hyporgeometric seriesF(a,b;c;x) =…

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Q: 4. Use Euler's method with a step size of h = 0.2 to approximate the solution to initial value…

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Q: Solve as indicated. 2. Find the sum of the first 8 terms of the series 2, 5, 8, . 135 3. Find the…

A: 2. Given Series :   2 ,5 , 8...... here we can see           first term(a)=2          common…

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Q: ori Ann Marie wants to know where you will be when you take: 3 /5 of a CHICK, 2/3 of a CAT, and /2…

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Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

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Q: Let G be a group and a E G be such that o(r) 20. Find the orders of r, xt, a0, al4 and r30. %3D

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Q: dz 3. Let z = 1? + y, r = 2st and y = s - t. Compute for and dx Ət ze %3D

A: This is a problem of partial differentiation.

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Q: B. Solve as indicated. Use a separate sheet of paper, if necessary. 1. In the arithmetic sequence…

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Q: Given E(x,-)-78 and N= 80, then the population standard deviation, a, is approximately O a) 0.975…

A: Given, Σ(xi-μ)2=78  and N=80 We have to find population standard deviation σ.

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

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