Question Number 140965 by EnterUsername last updated on 14/May/21 $$\mathrm{If}\:{a}\neq\mathrm{0}\:\mathrm{and}\:{a}\left({l}+{m}\right)^{\mathrm{2}} +\mathrm{2}{blm}+{c}=\mathrm{0}\:\mathrm{and}\:{a}\left({l}+{n}\right)^{\mathrm{2}} + \\ $$$$\mathrm{2}{bln}+{c}=\mathrm{0},\:\mathrm{then} \\ $$$$\left(\mathrm{A}\right)\:{mn}={l}^{\mathrm{2}} +{c}/{a}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:{lm}={n}^{\mathrm{2}} +{c}/{a} \\ $$$$\left(\mathrm{C}\right)\:{ln}={m}^{\mathrm{2}} +{c}/{a}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:{mn}={l}^{\mathrm{2}} +{bc}/{a} \\ $$ Terms…
Question Number 9895 by caleb last updated on 13/Jan/17 $${pls}\:{help}\:{me}\:{solve}\:{dis}\:{questiom}\:{it}\:{is}\: \\ $$$${laplace} \\ $$$$ \\ $$$${l}^{−\mathrm{1}} \left\{\frac{\mathrm{4}{s}^{\mathrm{2}} −\mathrm{17}{s}−\mathrm{24}}{\mathrm{5}\left({s}+\mathrm{3}\right)\left({s}−\mathrm{4}\right)}\right\} \\ $$ Terms of Service Privacy Policy…
Question Number 9894 by caleb last updated on 13/Jan/17 $${pls}\:{help}\:{me}\:{solve}\:{dis}\:{questiom}\:{it}\:{is}\: \\ $$$${laplace} \\ $$$$ \\ $$$${l}^{−\mathrm{1}} \left\{\frac{\mathrm{4}{s}^{\mathrm{2}} −\mathrm{17}{s}−\mathrm{24}}{\mathrm{5}\left({s}+\mathrm{3}\right)\left({s}−\mathrm{4}\right)}\right\} \\ $$ Terms of Service Privacy Policy…
Question Number 9893 by caleb last updated on 13/Jan/17 $${pls}\:{help}\:{me}\:{solve}\:{dis}\:{questiom}\:{it}\:{is}\: \\ $$$${laplace} \\ $$$$ \\ $$$${l}^{−\mathrm{1}} \left\{\frac{\mathrm{4}{s}^{\mathrm{2}} −\mathrm{17}{s}−\mathrm{24}}{\mathrm{5}\left({s}+\mathrm{3}\right)\left({s}−\mathrm{4}\right)}\right\} \\ $$ Terms of Service Privacy Policy…
Question Number 140966 by mnjuly1970 last updated on 14/May/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…….{nice}……{calculus}….. \\ $$$$\:\:\:\:\:{if}\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\sqrt{{cos}\:\left({n}\pi\right)}\:}{\left(\mathrm{2}{n}\right)!!}\:=\:\omega \\ $$$$\:\:\:\:\:\:\:{then}\:\:\:{Re}\left(\omega\right):=?? \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 140961 by iloveisrael last updated on 14/May/21 $$\:\underset{\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\:\frac{\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right)}{{x}}\:{dx}\:=?\: \\ $$ Answered by qaz last updated on 14/May/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{ln}\left({x}+\sqrt{\mathrm{1}−{x}^{\mathrm{2}}…
Question Number 75426 by otchereabdullai@gmail.com last updated on 10/Dec/19 $$\mathrm{A}\:\mathrm{boy}\:\mathrm{has}\:\mathrm{to}\:\mathrm{cover}\:\:\mathrm{4km}\:\:\mathrm{to}\: \\ $$$$\mathrm{catch}\:\mathrm{a}\:\mathrm{bus}.\:\mathrm{He}\:\mathrm{walks}\:\mathrm{part}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{distance}\:\mathrm{as}\:\mathrm{3km}/\mathrm{h}\:\mathrm{and}\:\mathrm{run}\:\mathrm{the}\:\mathrm{rest}\:\mathrm{at} \\ $$$$\mathrm{5km}/\mathrm{h}\:\mathrm{if}\:\mathrm{he}\:\mathrm{takes}\:\mathrm{1hour}\:\mathrm{to}\:\mathrm{complete}\: \\ $$$$\mathrm{the}\:\mathrm{distance}.\:\mathrm{For}\:\mathrm{how}\:\mathrm{many}\:\mathrm{kilometres} \\ $$$$\mathrm{does}\:\mathrm{he}\:\mathrm{walk} \\ $$ Answered by MJS…
Question Number 9890 by konen last updated on 12/Jan/17 $$\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{16}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{25}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{36}}\right)…\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3600}}\right)=? \\ $$ Answered by nume1114 last updated on 12/Jan/17 $$\:\:\:\:\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{16}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{25}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{36}}\right)…\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3600}}\right) \\ $$$$=\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{4}^{\mathrm{2}} }\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{5}^{\mathrm{2}} }\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{6}^{\mathrm{2}} }\right)…\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{60}^{\mathrm{2}}…
Question Number 140956 by mnjuly1970 last updated on 14/May/21 $$\:\:\:\:\:\:\:\:\:\:…..{advanced}……{calculus}….. \\ $$$$\:\:\:\:\:{prove}\:{that}: \\ $$$$\:\:\boldsymbol{\phi}:=\:\int_{−\infty} ^{\:\infty} \frac{{sin}^{\mathrm{4}} \left({x}\right).{cos}^{\mathrm{4}} \left({x}\right)}{{x}^{\mathrm{2}} }{dx}=\frac{\pi}{\mathrm{16}} \\ $$$$\:\:{m}.{n} \\ $$ Answered by…
Question Number 140959 by loveineq last updated on 14/May/21 $$\mathrm{Let}\:{a},{b}\:\geqslant\:\mathrm{0}.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{4}}\centerdot\frac{\left(\mathrm{2}+{a}\right)\left(\mathrm{2}+{b}\right)}{\left(\mathrm{1}+{a}\right)\left(\mathrm{1}+{b}\right)}\:\geqslant\:\frac{\mathrm{4}−{a}−{b}}{\mathrm{4}+{a}+{b}}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$ Answered by MJS_new last updated on 14/May/21 $$\mathrm{this}\:\mathrm{is}\:\mathrm{easy} \\…