Question Number 209557 by Spillover last updated on 14/Jul/24 $${Given}\: \\ $$$$\:\int_{\mathrm{2}} ^{\mathrm{4}} \left({ax}^{{n}} +\mathrm{1}\right){dx}=\mathrm{58}\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{2}} \left({ax}^{{n}} +\mathrm{1}\right){dx}=\mathrm{10} \\ $$$${find}\:{the}\:{value}\:{of}\:\:{a}\:\:\:{and}\:\:{n} \\ $$ Answered by mr…
Question Number 209544 by Spillover last updated on 13/Jul/24 $$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{4}} \frac{{dx}}{\mid{x}−\mathrm{1}\mid+\mid{x}−\mathrm{2}\mid+\mid{x}−\mathrm{4}\mid} \\ $$$$ \\ $$ Answered by Frix last updated on 14/Jul/24…
Question Number 209545 by mahdipoor last updated on 13/Jul/24 $${L}\left({sing}\left(\frac{{dy}}{{dx}}\right)\right)=? \\ $$$${L}\left(\right)\:\:\equiv\:\:{laplas}\:{transfer} \\ $$ Answered by Berbere last updated on 15/Jul/24 $${sing}\left(\frac{{dy}}{{dx}}\right)\:{what}\:{de}\:{you}\:{mean}\:\mathcal{L}\left(\:\mathrm{sin}\:\left({y}'\left({t}\right)\right)..?\right. \\ $$ Commented…
Question Number 209529 by mr W last updated on 13/Jul/24 Commented by mr W last updated on 13/Jul/24 $${find}\:{u}_{{min}} \:{such}\:{that}\:{the}\:{ball}\:{can}\:{fly} \\ $$$${out}\:{of}\:{the}\:{well}. \\ $$$$\left({collisions}\:{with}\:{the}\:{wall}\:{are}\:{elastic}\right)\: \\…
Question Number 209531 by hardmath last updated on 13/Jul/24 $$\frac{\mathrm{y}^{''} }{\mathrm{y}}\:\:=\:\:\mathrm{4x}^{\mathrm{2}} \:\:+\:\:\mathrm{2} \\ $$ Commented by hardmath last updated on 13/Jul/24 $$ \\ $$Solve the…
Question Number 209540 by mokys last updated on 13/Jul/24 Answered by Spillover last updated on 13/Jul/24 $$\int\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{6}} {x}+\mathrm{sin}\:^{\mathrm{5}} {x}+\mathrm{sin}\:^{\mathrm{4}} {x}+\mathrm{sin}\:^{\mathrm{3}} {x}+\mathrm{sin}\:^{\mathrm{2}} {x}+\mathrm{sin}\:{x}} \\ $$$$\mathrm{sin}\:^{\mathrm{6}} {x}+\mathrm{sin}\:^{\mathrm{5}}…
Question Number 209542 by Spillover last updated on 13/Jul/24 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{{dx}}{{x}^{\mathrm{15}} −{x}^{\mathrm{11}} } \\ $$$$ \\ $$$$ \\ $$ Answered by Frix last updated…
Question Number 209543 by Spillover last updated on 13/Jul/24 $$\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{{dx}}{{x}^{\mathrm{4}} +\mathrm{4}} \\ $$$$ \\ $$ Commented by Frix last updated on 14/Jul/24 $$\mathrm{Done}\:\mathrm{several}\:\mathrm{times}\:\mathrm{before}…
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Question Number 209519 by depressiveshrek last updated on 12/Jul/24 $$\mathrm{Is}\:\mathrm{there}\:\mathrm{any}\:{n}\in\mathbb{N}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{sin}\left({n}\right)\in\mathbb{Q}\:? \\ $$ Commented by Rasheed.Sindhi last updated on 12/Jul/24 $${n}\:{in}\:{degrees}? \\ $$ Commented…