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Author: Tinku Tara

Question-220625

Question Number 220625 by Spillover last updated on 17/May/25 Answered by mr W last updated on 17/May/25 $${for}\:{the}\:{remaining}\:\mathrm{4}\:{doors}\:{he}\:{needs} \\ $$$${additional}\:{paint}\:{which}\:{can}\:{only}\:{be}\: \\ $$$${blue},\:{green}\:{or}\:{yellow}. \\ $$$$\left.\mathrm{1}\right)\:{color}\:{for}\:{addtional}\:{paint}\:{is}\:{blue} \\…

Show-that-0-e-st-t-2-1-dt-1-2-pi-H-0-s-Y-0-s-s-R-0-

Question Number 220652 by SdC355 last updated on 17/May/25 $$\mathrm{Show}\:\mathrm{that} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \:\frac{{e}^{−{st}} }{\:\sqrt{{t}^{\mathrm{2}} +\mathrm{1}}}\:\mathrm{d}{t}=\frac{\mathrm{1}}{\mathrm{2}}\pi\left(\boldsymbol{\mathrm{H}}_{\mathrm{0}} ^{\:} \left({s}\right)−{Y}_{\mathrm{0}} \left({s}\right)\right)\:,\:{s}\in\mathbb{R}\backslash\left\{\mathrm{0}\right\} \\ $$ Terms of Service Privacy…