9. We know that v2 is irrational. Use this fact and the previous exercise to prove that if r < s are rational numbers, then there is an irrational number x with r < x < s.

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A: Given heat equation, ∂u∂t=4∂2u ∂x2u(0,t)=0u(8,t)=0u(x,0)=4x-12x2=f(x,y)  Here length l=8 and c2=4

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A: h). n = 81     p = 0.10

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: Given: μ=60x¯=58.6n=43σ=6.55 The test statistic is obtained as below: z=sample statistic-Null…

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A: Let's solve 6th question.  Please repost for other parts.

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A: