Question Number 1347 by prakash jain last updated on 24/Jul/15 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{following}\:\mathrm{DE} \\ $$$$\frac{{dy}}{{dx}}+\frac{{c}_{\mathrm{1}} }{{yx}^{\mathrm{2}} }={c}_{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 132418 by MJS_new last updated on 14/Feb/21 $$\mathrm{to}\:\mathrm{Tinkutara} \\ $$$$\mathrm{strange}\:\mathrm{error}.\:\mathrm{try}\:\mathrm{to}\:\mathrm{edit}/\mathrm{comment}\:\mathrm{my} \\ $$$$\mathrm{answer}\:\mathrm{to}\:\mathrm{question}\:\mathrm{132402} \\ $$$$\mathrm{the}\:\mathrm{last}\:\mathrm{line}\:\mathrm{expands}\:\mathrm{in}\:\mathrm{height}\:\mathrm{to}\:\mathrm{infinity} \\ $$$$\mathrm{at}\:\mathrm{least}\:\mathrm{on}\:\mathrm{my}\:\mathrm{device}… \\ $$ Commented by mr W last…
Question Number 1343 by Rasheed Soomro last updated on 24/Jul/15 $$\mathrm{3}^{{log}\:\mathrm{3}{x}+\mathrm{4}} =\mathrm{4}^{{log}\:\mathrm{4}{x}+\mathrm{3}} \\ $$ Answered by 112358 last updated on 24/Jul/15 $${Taking}\:{logs}\:{to}\:{base}\:{e}\:{on}\:{both}\:{sides} \\ $$$$\Rightarrow\left({log}\mathrm{3}{x}+\mathrm{4}\right){ln}\mathrm{3}=\left({log}\mathrm{4}{x}+\mathrm{3}\right){ln}\mathrm{4} \\…
Question Number 132414 by john_santu last updated on 14/Feb/21 Commented by john_santu last updated on 14/Feb/21 $$\underline{\mathrm{super}\:\mathrm{nice}\:\mathrm{integral}}\: \\ $$ Answered by liberty last updated on…
Question Number 1339 by 123456 last updated on 24/Jul/15 $${f}:\mathbb{C}\rightarrow\mathbb{C},{z}_{\mathrm{0}} \in\mathbb{C}\:\mathrm{such}\:\mathrm{that} \\ $$$${f}\left({z}\right)−{f}\left({z}_{\mathrm{0}} \right)=\left({z}−{z}_{\mathrm{0}} \right){f}\left({z}−{z}_{\mathrm{0}} \right) \\ $$$$\mathrm{does}\:\underset{{z}\rightarrow{z}_{\mathrm{0}} } {\mathrm{lim}}{f}\left({z}\right)={f}\left({z}_{\mathrm{0}} \right)? \\ $$ Commented by…
Question Number 66875 by Cmr 237 last updated on 20/Aug/19 Commented by mathmax by abdo last updated on 20/Aug/19 $${convergence}\:{of}\:{this}\:{serie}\:\:\:{let}\:\varphi\left({t}\right)\:=\frac{\mathrm{1}}{{t}^{\mathrm{3}} {sin}^{\mathrm{2}} {t}}\:\:{with}\:{t}>\mathrm{1} \\ $$$${we}\:{have}\:\varphi^{'} \left({t}\right)\:=\:−\frac{\mathrm{3}{t}^{\mathrm{2}}…
Question Number 132410 by bramlexs22 last updated on 14/Feb/21 $$\:\int_{\mathrm{0}} ^{\:\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{2}} }\: \\ $$ Answered by EDWIN88 last updated on 14/Feb/21 $$\mathrm{I}=\int_{\mathrm{0}}…
Question Number 1335 by 123456 last updated on 23/Jul/15 $$\mathrm{if}\:{a}\leqslant{x}\leqslant{b}\:\mathrm{and}\:{c}\leqslant{y}\leqslant{d}\:\mathrm{then}\:\mathrm{did} \\ $$$$\frac{{a}}{{d}}\leqslant\frac{{x}}{{y}}\leqslant\frac{{b}}{{c}}? \\ $$$${a},{b},{c},{d},{x},{y}\in\mathbb{R} \\ $$$$\mathrm{0}<{c} \\ $$$$\mathrm{0}<{a} \\ $$ Answered by prakash jain last…
Question Number 132407 by bramlexs22 last updated on 14/Feb/21 $$\mathrm{on}\:\mathrm{circle}\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{25}\:,\:\mathrm{find}\:\mathrm{the}\:\mathrm{point} \\ $$$$\mathrm{closest}\:\mathrm{to}\:\left(\mathrm{1},\mathrm{1}\right). \\ $$ Answered by EDWIN88 last updated on 14/Feb/21 $$\mathrm{let}\:\mathrm{P}\left(\mathrm{x},\mathrm{y}\right)\:\mathrm{be}\:\mathrm{a}\:\mathrm{point}\:\mathrm{on}\:\mathrm{a}\:\mathrm{circle}\: \\…
Question Number 66868 by John Kaloki Musau last updated on 20/Aug/19 $${A}\:{town}\:{N}\:{is}\:\mathrm{340}{km}\:{due}\:{west}\:{of}\: \\ $$$${town}\:{G}\:{and}\:{town}\:{K}\:{is}\:{due}\:{west}\: \\ $$$${of}\:{town}\:{N}.\:{A}\:{helicopter}\:{Zebra}\: \\ $$$${left}\:{G}\:{for}\:{K}\:{at}\:\mathrm{9}{a}.{m}.\:{Another}\: \\ $$$${helicopter}\:{Buffalo}\:{left}\:{N}\:{for}\:{K} \\ $$$${at}\:\mathrm{11}{a}.{m}.\:{Helicopter}\:{Buffalo} \\ $$$${travelled}\:{at}\:{an}\:{average}\:{speed}\:{of}\: \\…