How many different permutations each containing all letters of the word STATESMAN can be formed 2 - how many of these will have the letter s S both at the beginning and at the end

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Q: Solve both the differential equations. 1) (y? + 1)dx + (2xy + 1)dy = 0 dy x²+y² 2) dx 2хy

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Q: You need to provide a clear and detailed solution for the following Questions: of The figure shows a…

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Q: Using Cayley Hamilton theorem, A for the matrix A = is al calculeted from

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Q: Gauss Jordan Elimination 3x + 4y + 2z = 1 x + 2y + 3z = 4 2x + 3y + z = 4 use explanation

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Q: 6+ 3- 2 -6 -5 -4 -3 -2 -1 f-1 1 2 3 5 -20 -3- -4- -5- t-6+ Write the domain of the function using…

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Q: Cramer's Rule x + 2y + 3z = -5 3x + y - 3z = 4 -3x + 4y + 7z = -7

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Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (t) =…

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Q: 15. Show that any field is isomorphic to its field of quotients. [Hint: Make use of the previous…

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Q: 2i n. 19. Which of the following definite integrals is equivalent to the Riemann sum lim 2- - dx C)…

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Q: Find the solution. dy 2y - =x?y%sinx dx 1 A y = x2(sinx – c) y = x²(cosx+c) 1 y = x²(cosx+c) 1 y x (…

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Q: 3) s) Determine the highest real root of f(x)=3x' +11,8x -17,8x-6 a) Graphically, b) Fixed-point…

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Q: Using mathematical induction, prove that for all nonnegative integers n 2n+1 + (-1)" 3. 2" %3D j=0

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Q: e) Modified secant method (three iterations, x, =1, 8=0,01). lutionc

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Q: Consider the initial value problem y' = 2y°, y(0) = Yo- For what value(s) of yo will the solution…

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Q: Exercises (1) Show that if gcd(a, c) = 1 and gcd(b, c) = 1, then gcd(ab, c) = 1. %3D %3D

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Q: Show that J, (z cos0)d0 = - R/2 os e)de = 1-cos z %3D 21

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Q: How many telephone numbers have no repeated digits?

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