Which of the following is less than 2 ? O 19/11+3/4 O 1 1/4+2/5 O 19/15 +7/11 O 13/6+1/2

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A: To find the generating function for the number of compositions of n where each part is either 2 or…

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A: We find value of x and y.

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A: Given equations are

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Q: Problem 8 Use Mathematical Induction to show that n II (¹₁ - ² ) = /1/2 n k=2

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A: (.). The given differential equation is,

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A: The integers are

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A: I have written all the answers within the solution. Please go through that.

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Q: A Taylor series is something we often use and looks like dy y(xo+h) = y(xo) +h(x) + h² d²y 2! dx²…

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A: Note: According to the guidelines we are allowed to solve one question at a time. Please post the…

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Q: Problem 7 Suppose b is any integer. Ifb mod 12 = 5, what is 6b mod 12? In other words, if division…

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A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Is T ={∅, X, {1, a}, {1, b}, {2, c}, {1, a, b}, {1}} a topology on X = {1, 2, a, b, c}? Why?

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