Search let-r-be-a-relation-defined-on-z-define-xry-iff-divides-x-y-a-prove-that-r-is

Let r be a relation defined on z define xry iff divides x y a prove that r is


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1.Let A be the set that is defined recursively in the following way: Basis Case: ( 0 , 1 , 2 ...

Recursive Step: if (n,m,r) ∈ A then (n+1,m+2,m+r+2) ∈ A Prove, using structural induction, that for every .( n , m , r ) ∈ A , 0 ≤ n < m and n + m ≤ r .
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2.Let R be the region bounded by the graph of y=x^4 and the line y=16. There exists a number k, ...

such that when R is revolved about the line y=k, the resulting solid has the same volume as the solid resulting when R is rotated about the x-axis. Write an equation involving integral expressions that can be used to find the value of k, and then solve for k.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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