a. Are X and Y independent? Show your solution. b. Find P[X > 0.3|Y = 0.5]

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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: 1) Here, we have R(x)=0.1x3+0.2x2 The rate of change of revenue with respect to x…

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A:

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A: Given Diffrential equation is yι=3x2    →1 and solution:    y=x3+7  →2

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A: The given function is y=xx4+4

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A: Step 1:Step 2:

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A: To determine the solutions to the equation cot2x=5−3cotx for 0≤x≤2π, we first let u=cotx.…

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

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A: 1. The following are the information that can be obtained from the graphDegree of the function = 4…

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A: (k) Given that                                                           I=∫sec2(7-3θ)dθ

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A: Given: Let C be the curve obtained from the intersection of the surface S1 and the xz-plane. To…

Q: Please allof them.Thanks

A: 1) The mean is calculated as follows: x¯=20+11+20+11+165=785=15.6