Determine the exact number that the series Hint: Write(n-1)(+1)=1+²1 n=2 1 n²-1 converges to.

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A: Given linear equations are x1 - x2 - 5x3 = -1-2x1+2x2+11x3 = 13x1 - x2 + x3 = 3

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Q: (e) n=8, p=0.68, X=7 P(X) = 0.002

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Q: Let G = &lt;x, y | x8 = y2 = e, yxyx3 = e&gt;. Show that |G| ≤16. Assumingthat |G| = 16, find the…

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Q: 1. Consider the autonomous first-order differential equation dy =y-y³, y(0) = yo dx Sketch the graph…

A: As per Bartleby rules we have to answer only first three questions.

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Q: Suppose that a is algebraic over a field F. Show that a and 1 + a-1have the same degree over F.

A: Let's consider that 1+a-1∈Qa then, it can be concluded that, Q1+a-1⊆Qa                  …1

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Q: 6. Negate: If I play football, then I will be sore the next day."

A: Negate : If I play football , then I will be sore the next day .