Suppose that the series (a) (an+b)xn n=1 (b) Σan(x-7)n n=1 (c) bn(x-2)4n n=1 n=1 anx has radius of convergence 5 and bx has radius of convergence 9. Find the radius of convergence of the following series. R = R = R = n=1

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A: R=-3,1×-2,0 We have to estimate ∬Ry2-2x2dA with m=4, n=2

Q: 2) Solve (x² - y2-yz)p+ (x²-y²-zx)q = z(x-y).

A: Since you have posted multiple questions, As per our Q&A guidelines we will solve the first…

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A: We can find the triple integral.

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A: 6hD=-9i-2-10i-13i-2i+14i+2 0,0, 0.2,1, 0.4,3, 0.6,5, 0.8,7, 1.0,5,1.2,3

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A: As per the question, we have to prove two statements related to probability theory. First, we show…

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A: Here, x1 +2x2 +3x3 =0 0 = 1 Now, to find x1,x2,x3 we have to use both the equations.

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A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

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A: w=xy+3z

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A: To prove: ([P & Q] ∨ [P & R]) ⊢ P

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A: I have explained everything with in the solution. Please go through that.