5. Let X, be a RSR (mod n). Prove that E e(E/n) EXn is a multiplicative function of n, where e(x) = e²riz_

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

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A: Solution

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Q: 5. Find the domain off(z-In(e*-3). Then find f-1 and its domain.

A: f(x) = ln(ex-3)The function "ln" is defined for positive numbers only.Hence, x should be such that…

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Q: 6. Use a substitution to find S (x* + 1)" z³dx.

A: Here we use substitution we find∫x4+111x3dxHere we substitute x4+1=du…

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Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't…

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Q: PROVE THAT Q(-∞) =1 usign Q – Function

A: Given that Q-∞=1

Q: Soluti 03 16. A 11 22 1 Let Ax- b be a linear svstem of n eauations in n unknowns, and assume that A

A: Given: A = 03-2114225, b = 75-2  and Ax = b To find: The value of matrix x.

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Q: VI. Let f(x)=x²-x²-x+1 on [-1,2]. Find all numbers c satisfying the conclusion to the Mean value…

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Q: 21. Let f(n) = [/n] – [/n – 1]. Prove that f is multiplicative but not completely multiplicative.

A: See the attachment

Q: 14 Let /= 8, x4 dx. Select all that apply x3 - 512

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Q: Consider the function 2: {1,2,3, 4} - + {0, 1,2} defined as follows: N:n → (2n +2) mod 3 (.1) Draw…

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A: Given function is Firstly, we find f'(x) by using quotient rule of differentiation.

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