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Author: Tinku Tara

0-StruveH-1-2-z-BesselY-1-2-z-dz-

Question Number 223839 by wewji12 last updated on 06/Aug/25 $$\int_{\mathrm{0}} ^{\:\infty} \:\:\left[\mathrm{Struve}\boldsymbol{\mathrm{H}}_{−\frac{\mathrm{1}}{\mathrm{2}}} ^{\:^{\:^{\:} } } \left({z}\right)−\mathrm{Bessel}{Y}_{−\frac{\mathrm{1}}{\mathrm{2}}} \left({z}\right)\right]\:\mathrm{d}{z}=?? \\ $$ Terms of Service Privacy Policy Contact:…

4x-1-3x-2-1-x-

Question Number 223823 by fantastic last updated on 06/Aug/25 $$\sqrt{\mathrm{4}{x}+\mathrm{1}}+\sqrt{\mathrm{3}{x}−\mathrm{2}}=\mathrm{1} \\ $$$${x}=? \\ $$ Answered by Rasheed.Sindhi last updated on 06/Aug/25 $$\sqrt{\mathrm{4}{x}+\mathrm{1}}+\sqrt{\mathrm{3}{x}−\mathrm{2}}=\mathrm{1}…{i} \\ $$$$\left(\mathrm{4}{x}+\mathrm{1}\right)−\left(\mathrm{3}{x}−\mathrm{2}\right)=\sqrt{\mathrm{4}{x}+\mathrm{1}}\:−\sqrt{\mathrm{3}{x}−\mathrm{2}}\: \\…

Question-223847

Question Number 223847 by mr W last updated on 06/Aug/25 Commented by mr W last updated on 06/Aug/25 $${two}\:{mirrors}\:{form}\:{an}\:{angle}\:\alpha=\mathrm{8}° \\ $$$${as}\:{shown}.\:{a}\:{light}\:{ray}\:{starts}\:{from}\: \\ $$$${point}\:{A}\:{with}\:{an}\:{angle}\:\theta.\:{such}\:{that} \\ $$$${the}\:{light}\:{ray}\:{returns}\:{to}\:{its}\:{origin}…

Given-f-x-x-2-14x-40-g-x-43-h-x-g-x-51-x-4-m-x-h-x-9-x-2-x-2-m-2-2043-If-f-x-divided-by-x-2-8x-20-gives-remainder-is-M-x-ax-b-then-the-value-of-M-98-

Question Number 223800 by efronzo1 last updated on 05/Aug/25 $$\:\mathrm{Given}\:\mathrm{f}\left(\mathrm{x}\right)=\:\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{14x}+\mathrm{40}}{\mathrm{g}\left(\mathrm{x}\right)}−\mathrm{43} \\ $$$$\:\mathrm{h}\left(\mathrm{x}\right)=\:\frac{\mathrm{g}\left(\mathrm{x}\right)+\mathrm{51}}{\mathrm{x}+\mathrm{4}} \\ $$$$\:\mathrm{m}\left(\mathrm{x}\right)=\:\frac{\mathrm{h}\left(\mathrm{x}\right)−\mathrm{9}}{\mathrm{x}−\mathrm{2}}\:,\:\mathrm{x}\neq\mathrm{2} \\ $$$$\:\mathrm{m}\left(\mathrm{2}\right)=\:\mathrm{2043}.\: \\ $$$$\:\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{divided}\:\mathrm{by}\:\mathrm{x}^{\mathrm{2}} +\mathrm{8x}−\mathrm{20}\: \\ $$$$\:\mathrm{gives}\:\mathrm{remainder}\:\mathrm{is}\:\mathrm{M}\left(\mathrm{x}\right)=\mathrm{ax}+\mathrm{b} \\ $$$$\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{M}\left(\mathrm{98}\right)=?\: \\…