Find an exponential generating function for the number of permutations with repetition of length n of the set {a, b, c} in which there are an odd number of a’s, an even number of b’s, and an even number of c’s.

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A: The significance of the algebraic closure of a field in field theory.

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Q: Find the inverse Laplace transform of the following: (a) F(s) = 3 s² +4 (b) F(s) 4 (s − 1)³

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Q: A = ( 1 π/2 00π/2 π/2 1 1 0

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Q: What is the limit of the derivative of a function as the independent variable approaches a specific…

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Q: Suppose that $3000 is placed in a savings account at an annual rate of 8.6%, compounded…

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Q: Solve the following quadratic function by utilizing the square root method. y=x^(2)-1 x=+-[?]

A: given that,

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Q: Compute the partial derivative of h(x, z) = ²xz-6x²z³. (Use symbolic notation and fractions where…

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Q: 10. Let [ A= 103 -1 21 02 Calculate det (A) by cofactor expansion.

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Q: Use Newton's method to approximate the given number correct to eight decimal places. 97√ 97

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Q: 2.3m-4.4n = 6.84 8.5n — 6.7m = 1.23 -

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Q: 0 1. Find the eigenvalues and eigenvectors of the matrix A = 0 4 12 -4 -12 5 8 8 If A is…

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Q: =₁³-171. The vectors for Po. P₁, and p2 are 1 1 Fit a cubic trend function to the data (-2,6).…

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Q: Find two linearly independent solutions of y" + 3zy = 0 of the form y₁=1+az³+asz +...…

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.4) -7 -6 -5 -4 -3 54…

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Q: e 6 Consider the integral -dx with n=4. 1 a. Find the trapezoid rule approximations to the integral…

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Q: Question 2 Which one of the following integrals is NOT an improper integral? Select all that apply.…

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Q: Gretch the to ychol 1) у=х2-х 2) y= х" ах2+24х 8f:

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Q: Solve this equation using an excel program by bisection method, regula falsi method, fixed point…

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Q: à) In Z18, find all proper ideals: >) Find all the elements (cosets) of Zg/I, where I is the ideal…

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Q: D and E are sets of real numbers defined as follows. D={y|y≤ 4} E={y | y>7} Write D n E and DU E…

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