mework. Find Sup, Inf, Max, Min of the following subsets of R: S₁ = {2-P +39 +5: p,q,r€ Z+). S₂ = {x ER: 3x² - 10x +3≤0) 1 2n+1 S3 = { NEN} L n+1 [r²<2},

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A: Gjfdrftvvv

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A: We solve by using residues.

Q: 2. Calculate the centroid of the thin plate R which bounded by z = 1, y = 0 and, z² + y² = 4. fcc

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A: We need to evaluate the given triple integration. We will use the order of integration dV=dxdydz

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A: 1st we will use substitution and then integration by parts   ∫u.v dx=u∫v dx -∫dudx∫v dxdx

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A: The multivariate Newton-Raphson method uses the formula: xn+1yn+1=xnyn-∂f1∂x∂f1∂y∂f2∂x∂f2∂y-1×fxnyn…

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A: Part (1) Now, a≡b mod n ⇔n/b-a ⇔b-a=nk              for some constant k Also, m/n ⇒n=cm…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…