Question Number 195884 by Humble last updated on 12/Aug/23 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{integral}\:\mathrm{by}\:\mathrm{the}\:\mathrm{method}\: \\ $$$$\mathrm{of}\:\mathrm{Differentiation} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}{\mathrm{log}_{\mathrm{2}} \left(\mathrm{x}\right)}\mathrm{dx} \\ $$ Terms of Service Privacy Policy…
Question Number 195883 by Humble last updated on 12/Aug/23 $$\mathrm{The}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{a}\:\mathrm{boat}\:\mathrm{is}\:\mathrm{given}\:\mathrm{by},\:\mathrm{V}=\mathrm{k}\left(\frac{\mathrm{l}}{\mathrm{t}}−\mathrm{at}\right), \\ $$$$\mathrm{where}\:\mathrm{k}\:\mathrm{is}\:\mathrm{the}\:\mathrm{constant}\:\mathrm{and}\:\mathrm{l}\:\mathrm{is}\:\mathrm{the}\:\mathrm{distance} \\ $$$$\mathrm{travel}\:\mathrm{by}\:\mathrm{boat}\:\mathrm{in}\:\mathrm{time}\:\mathrm{t}\:\mathrm{and}\:\mathrm{a}\:\mathrm{is}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{of}\:\mathrm{water}.\: \\ $$$$\mathrm{If}\:\mathrm{there}\:\mathrm{is}\:\mathrm{a}\:\mathrm{change}\:\mathrm{in}\:\mathrm{l}\:\mathrm{from}\:\mathrm{2cm}\:\mathrm{to}\:\mathrm{1cm}\:\mathrm{in}\:\mathrm{time}\:\mathrm{2sec}.\:\mathrm{to}\:\mathrm{1sec}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{acceleration} \\ $$$$\mathrm{of}\:\mathrm{water}\:\mathrm{changes}\:\mathrm{from}\:\mathrm{0}.\mathrm{95m}/\mathrm{s}^{\mathrm{2}} \:\mathrm{to}\:\mathrm{2m}/\mathrm{s}^{\mathrm{2}} .\:\mathrm{Find}\:\mathrm{the}\:\mathrm{motion}\:\mathrm{of}\:\mathrm{boat}. \\ $$ Terms of Service…
Question Number 195872 by CrispyXYZ last updated on 12/Aug/23 $${z}_{\mathrm{1}} ,\:{z}_{\mathrm{2}} ,\:{z}_{\mathrm{3}} \in\mathbb{C}.\mid{z}_{\mathrm{1}} \mid=\mid{z}_{\mathrm{2}} \mid=\mid{z}_{\mathrm{3}} \mid=\mathrm{1}.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\frac{\left({z}_{\mathrm{1}} +{z}_{\mathrm{2}} \right)\left({z}_{\mathrm{2}} +{z}_{\mathrm{3}} \right)\left({z}_{\mathrm{3}} +{z}_{\mathrm{1}} \right)}{{z}_{\mathrm{1}} {z}_{\mathrm{2}}…
Question Number 195874 by Humble last updated on 12/Aug/23 Answered by mr W last updated on 12/Aug/23 $${x}={v}_{\mathrm{0}} \mathrm{sin}\:\theta\:{t}+\frac{{g}\:\mathrm{cos}\:\alpha}{\mathrm{2}}\:{t}^{\mathrm{2}} \\ $$$${z}={v}_{\mathrm{0}} \mathrm{cos}\:\theta{t}−\frac{{g}\:\mathrm{sin}\:\alpha}{\mathrm{2}}\:{t}^{\mathrm{2}} \\ $$$$\left.{a}\right) \\…
Question Number 195838 by sonukgindia last updated on 11/Aug/23 Answered by sniper237 last updated on 11/Aug/23 $${Area}=\int_{{u}} ^{{v}} {f}\left({x}\right){dx}\overset{{t}={lnx}} {=}\int_{{a}} ^{{b}} \:\frac{{dt}}{\:\sqrt{\left({t}−{a}\right)\left({b}−{t}\right)}}\: \\ $$$$\:\:\:\overset{{s}=\frac{{a}+{b}}{\mathrm{2}}−{t}} {=}\int_{−{c}}…
Question Number 195833 by liuxinnan last updated on 11/Aug/23 $${how}\:{does}\:\:{the}\:{d}\:{get}\:{max} \\ $$ Commented by liuxinnan last updated on 11/Aug/23 Answered by liuxinnan last updated on…
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Question Number 195823 by sonukgindia last updated on 11/Aug/23 Answered by jabarsing last updated on 11/Aug/23 $${No}\:{I}\:{can}'{t} \\ $$ Commented by sniper237 last updated on…
Question Number 195854 by sonukgindia last updated on 11/Aug/23 Commented by Rasheed.Sindhi last updated on 13/Aug/23 $${Q}#\mathrm{194637} \\ $$ Commented by Rasheed.Sindhi last updated on…
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