Question Number 9758 by richard last updated on 31/Dec/16 $$\mathrm{prove}\:\mathrm{that} \\ $$$$\left(\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left({a}_{{n}} +{b}_{{n}} \right)^{{p}} \right)^{\mathrm{1}/{p}} \leqslant\left(\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}_{{n}} ^{{p}} \right)^{\mathrm{1}/{p}} +\left(\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}{b}_{{n}}…
Question Number 140831 by mnjuly1970 last updated on 13/May/21 $$\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:……{nice}\:….\:{calculus}…… \\ $$$$\:\:\:\:\:{prove}\:\:{that}:: \\ $$$$\:\:\:\:\:\:\:\:\:\xi\::=\:\int_{−\infty} ^{\:\infty} \frac{{cos}\:\left(\pi{x}^{\mathrm{2}} \right)}{{cosh}\left(\pi{x}\right)}{dx}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\:…. \\ $$$$\:\:\:\:……. \\ $$ Answered by…
Question Number 9756 by tawakalitu last updated on 31/Dec/16 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{straight}\:\mathrm{line}\: \\ $$$$\mathrm{passing}\:\mathrm{through}\:\mathrm{the}\:\mathrm{point}\:\hat {\mathrm{i}}−\:\mathrm{2},\:\mathrm{k}\:\mathrm{and} \\ $$$$\mathrm{3k}\:−\:\mathrm{2j}.\:\mathrm{Find}\:\mathrm{where}\:\mathrm{the}\:\mathrm{line}\:\mathrm{cut}\:\mathrm{the}\:\mathrm{plane} \\ $$$$\mathrm{through}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{and}\:\mathrm{the}\:\mathrm{point}\:\mathrm{4j}\:\mathrm{and}\:\mathrm{2}\hat {\mathrm{i}}+\:\mathrm{k} \\ $$ Terms of Service Privacy Policy…
Question Number 140825 by liberty last updated on 13/May/21 $$\mathrm{Use}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{comparison}\:\mathrm{test} \\ $$$$\mathrm{to}\:\mathrm{determine}\:\mathrm{if}\:\mathrm{the}\:\mathrm{series}\:\mathrm{converges} \\ $$$$\mathrm{or}\:\mathrm{diverges}\: \\ $$$$\:\underset{\mathrm{n}=\mathrm{2}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\mathrm{7}+\mathrm{8n}\:\mathrm{ln}\:\left(\mathrm{ln}\:\mathrm{n}\right)}.\: \\ $$ Answered by mathmax by abdo…
Question Number 75291 by 21042004 last updated on 09/Dec/19 Answered by mind is power last updated on 09/Dec/19 $$\mathrm{let}\:\mathrm{A}\left(\mathrm{a},\mathrm{0}\right),\mathrm{B}=\left(\mathrm{b},\mathrm{0}\right) \\ $$$$\mathrm{Equation}\:\mathrm{of}\:\mathrm{circl}\:\mathrm{center}\:\mathrm{in}\:\mathrm{A} \\ $$$$\mathrm{condition}\:\mathrm{3}\:\:\:\:\mathrm{AB}<\mathrm{2R} \\ $$$$\mathrm{if}\:\mathrm{not}\:\mathrm{C}_{\mathrm{A}}…
Question Number 140827 by mathsuji last updated on 13/May/21 $${Find} \\ $$$$\mathrm{1}.\:\int\frac{{dx}}{\left[{x}\right]^{\mathrm{2}} }\:,\:{x}\geqslant\mathrm{1} \\ $$$$\mathrm{2}.\:\int\frac{\left[{x}\right]^{\lambda} }{{x}^{\lambda+\mathrm{1}} }\:,\:{x}\geqslant\mathrm{1} \\ $$$${Where}\:\left[\ast\right]\:{denote}\:{the}\:{integer}\:{part} \\ $$ Answered by mathmax by…
Question Number 9753 by j.masanja06@gmail.com last updated on 31/Dec/16 $${find}\:{the}\:{value}\:{of}\:{x} \\ $$$$\left({a}\right)\:\:\mathrm{4}^{\mathrm{2}{x}+\mathrm{1}} .\:\mathrm{5}^{{x}−\mathrm{2}} =\mathrm{6}^{\mathrm{1}−{x}} \\ $$$$\left({b}\right)\:\:\:\mathrm{4}\left(\mathrm{3}^{\mathrm{2}{x}+\mathrm{1}} \right)+\mathrm{17}\left(\mathrm{3}^{{x}} \right)−\mathrm{7}=\mathrm{0} \\ $$ Commented by ridwan balatif last…
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Question Number 9752 by tawakalitu last updated on 30/Dec/16 Answered by mrW last updated on 31/Dec/16 $$\mathrm{let}\:\mathrm{a}_{\mathrm{1}} \:\mathrm{be}\:\mathrm{the}\:\mathrm{first}\:\mathrm{term}\:\mathrm{and} \\ $$$$\mathrm{d}\:\mathrm{the}\:\mathrm{common}\:\mathrm{difference}\:\mathrm{of}\:\mathrm{the}\:\mathrm{A}.\mathrm{P}. \\ $$$$ \\ $$$$\mathrm{N}=\frac{\left[\mathrm{2a}_{\mathrm{1}} +\left(\mathrm{n}−\mathrm{1}\right)\mathrm{d}\right]×\mathrm{n}}{\mathrm{2}}…
Question Number 140821 by Arzoon last updated on 13/May/21 $${O}\:{is}\:{centre}\:{of}\:{circle}\:{and}\:{square}. \\ $$$${find}\:{yellow}\:{area}\:{in}\:{terms}\:{of}\:{radius}\: \\ $$$${of}\:{circle} \\ $$ Commented by Arzoon last updated on 13/May/21 Terms of…