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Question Number 107658 by john santu last updated on 12/Aug/20 $$\:\:\:\divideontimes\mathcal{JS}\divideontimes \\ $$$${A}\:{metal}\:{box}\:\left({without}\:{top}\right)\:{is}\:{tobe} \\ $$$${contructed}\:{from}\:{a}\:{square}\:{sheet} \\ $$$${of}\:{metal}\:{that}\:{is}\:\mathrm{10}\:{dm}\:{on}\:{the} \\ $$$${side}\:{by}\:{first}\:{cutting}\:{the}\:{square} \\ $$$${pieces}\:{of}\:{the}\:{same}\:{size}\:{from}\:{the} \\ $$$${corners}\:{of}\:{the}\:{sheet}\:{and}\:{folding} \\ $$$${up}\:{sides}.\:{what}\:{size}\:{squares}…
Question Number 107647 by bobhans last updated on 12/Aug/20 $$\:\:\:\:\:\:\:\asymp\mathcal{B}\mathrm{ob}\mathcal{H}\mathrm{ans}\asymp \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{formula}\:\frac{\mathrm{d}^{\mathrm{3}} }{\mathrm{dx}^{\mathrm{3}} }\left[\mathrm{g}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\right] \\ $$ Answered by john santu last updated on 12/Aug/20 $$\:\:\:\:\:\square\mathcal{JS}\square…
Question Number 107461 by Don08q last updated on 10/Aug/20 Commented by john santu last updated on 11/Aug/20 $$\left({iii}\right)\:{y}={x}^{\mathrm{3}} +\left({k}+\mathrm{2}\right){x}^{\mathrm{2}} −\mathrm{3}{kx}+\mathrm{5} \\ $$$$\Rightarrow{y}'=\mathrm{3}{x}^{\mathrm{2}} +\mathrm{2}\left({k}+\mathrm{2}\right){x}−\mathrm{3}{k} \\ $$$$\Rightarrow\Delta=\:\mathrm{4}\left({k}+\mathrm{2}\right)^{\mathrm{2}}…
Question Number 172973 by mnjuly1970 last updated on 04/Jul/22 $$ \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \frac{\:\mathrm{1}}{\left(\mathrm{1}+\:{x}^{\:\mathrm{4}} \right)\:\left(\mathrm{1}+\:{x}^{\:\mathrm{6}} \right)}{dx}=\frac{{p}\sqrt{\mathrm{2}}\:−{q}}{\mathrm{12}}\:\pi \\ $$$$\:\:\:{p}\:,\:\:{q}=? \\ $$$$ \\ $$ Answered by floor(10²Eta[1])…
Question Number 107434 by Adilali last updated on 10/Aug/20 Commented by JDamian last updated on 10/Aug/20 $${read}\:{solution}\:{of}\:{question}\:#\mathrm{107080} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 41757 by Tawa1 last updated on 12/Aug/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{fourier}\:\mathrm{sine}\:\mathrm{transform}\:\mathrm{of}\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{x}\left(\mathrm{x}^{\mathrm{r}} \:+\:\mathrm{a}^{\mathrm{r}} \right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 172785 by mnjuly1970 last updated on 01/Jul/22 Answered by Eulerian last updated on 01/Jul/22 $$\: \\ $$$$\:\mathrm{Note}:\:\:\mathrm{H}_{\mathrm{n}−\mathrm{1}} \:=\:\gamma\:+\:\psi^{\left(\mathrm{0}\right)} \left(\mathrm{n}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{H}_{\mathrm{n}−\mathrm{1}} \:=\:\mathrm{H}_{\mathrm{n}} \:−\:\frac{\mathrm{1}}{\mathrm{n}}…
Question Number 41682 by ajfour last updated on 11/Aug/18 $${find}\:{radius}\:{of}\:{curvature}\:{to} \\ $$$${y}=\mathrm{sin}\:{x}\:\:{at}\:\:{x}=\pi/\mathrm{6}\:. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 11/Aug/18 $$ \\ $$$${ds}={rd}\theta \\…
Question Number 172681 by mnjuly1970 last updated on 30/Jun/22 Answered by Jamshidbek last updated on 30/Jun/22 $$\mathrm{Hint}:\:\mathrm{Lemma}:\:\int_{\mathrm{a}} ^{\mathrm{b}} \mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\int_{\mathrm{a}} ^{\mathrm{b}} \mathrm{f}\left(\mathrm{a}+\mathrm{b}−\mathrm{x}\right)\mathrm{dx} \\ $$$$\mathrm{after}\:\mathrm{tg}\frac{\mathrm{x}}{\mathrm{2}}=\mathrm{t}. \\ $$…