Question Number 215528 by alephnull last updated on 09/Jan/25 Commented by mr W last updated on 10/Jan/25 $${this}\:{is}\:{not}\:{a}\:{question},\:{actually}\:{pure} \\ $$$${non}−{sense}\:{with}\:{a}\:{lot}\:{of} \\ $$$${mathematical}\:{symbols}\:{stacked} \\ $$$${together}. \\…
Question Number 215199 by efronzo1 last updated on 31/Dec/24 $$\:\:\:\:\:\downharpoonleft\underline{\:} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 214726 by universe last updated on 18/Dec/24 $$\mathrm{for}\:\mathrm{the}\:\mathrm{function}\:{z}\:=\:{x}\mathrm{tan}^{−\mathrm{1}} \left(\frac{{y}}{{x}}\right)+{y}\mathrm{sin}^{−\mathrm{1}} \left(\frac{{x}}{{y}}\right)+\mathrm{2} \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}\frac{\partial{z}}{\partial{x}}+{y}\frac{\partial{z}}{\partial{y}}=?\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 214335 by depressiveshrek last updated on 05/Dec/24 $$\mathrm{For}\:\mathrm{what}\:\mathrm{values}\:\mathrm{of}\:{k}\:\mathrm{does}\:\mathrm{the}\:\mathrm{equation} \\ $$$${e}^{{kx}} =\mathrm{3}\sqrt{{x}}\:\mathrm{have}\:\mathrm{only}\:\mathrm{one}\:\mathrm{solution}\:\mathrm{in}\:\mathbb{R}? \\ $$ Answered by mr W last updated on 06/Dec/24 $${y}={e}^{{kx}} \:{and}\:{y}=\mathrm{3}\sqrt{{x}}\:{should}\:{have}\:{only}…
Question Number 214000 by golsendro last updated on 24/Nov/24 $$\:\:\mathrm{Let}\:\mathrm{y}\left(\mathrm{x}\right)\:\mathrm{be}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{diff}\:\mathrm{eq}. \\ $$$$\:\:\mathrm{y}\:'=\:\frac{\mathrm{cos}\:\mathrm{x}+\mathrm{y}}{\mathrm{cos}\:\mathrm{x}}\:,\:\mathrm{y}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$$\:\:\mathrm{Find}\:\mathrm{y}\left(\frac{\pi}{\mathrm{6}}\right). \\ $$ Commented by mr W last updated on 24/Nov/24 $${do}\:{you}\:{mean}\:\mathrm{cos}\:\left({x}+{y}\right)\:{instead}\:{of}…
Question Number 213664 by 281981 last updated on 13/Nov/24 Answered by mr W last updated on 13/Nov/24 Commented by mr W last updated on 13/Nov/24…
Question Number 212928 by efronzo1 last updated on 27/Oct/24 Commented by mr W last updated on 27/Oct/24 $${does}\:{the}\:{question}\:{mean}\:{msximum} \\ $$$${or}\:{minimum}?\:{if}\:{C}\:{and}\:{D}\:{must}\:{lie} \\ $$$${between}\:{B}\:{and}\:{E},\:{then}\:{there}\:{is}\:{only} \\ $$$${min}\left({x}+{y}\right),\:{but}\:{no}\:{max}\left({x}+{y}\right).\:{if}\:{C} \\…
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Question Number 211594 by mnjuly1970 last updated on 14/Sep/24 $$ \\ $$$$\:{If}\:,\:\:\overset{\:\:−} {{H}}_{{n}} \:=\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}\:+\frac{\mathrm{1}}{\mathrm{3}}\:−…+\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{{n}}\:\:\: \\ $$$${prove}\:{that}:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\overset{\:\:−\:} {{H}}_{{n}} −\mathrm{ln}\left(\mathrm{2}\right)}{{n}}=\mathrm{ln}^{\mathrm{2}} \left(\mathrm{2}\right) \\ $$$$\:\:\:\:\:\:\:−−−−−−−−−−\:\:\:\:\:\: \\…
Question Number 211508 by MATHEMATICSAM last updated on 11/Sep/24 $$\mathrm{If}\:\sqrt{\mathrm{1}\:−\:{x}^{\mathrm{2}} }\:+\:\sqrt{\mathrm{1}\:−\:{y}^{\mathrm{2}} }\:=\:{a}\left({x}\:−\:{y}\right)\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{dy}}{{dx}}\:=\:\sqrt{\frac{\mathrm{1}\:−\:{y}^{\mathrm{2}} }{\mathrm{1}\:−\:{x}^{\mathrm{2}} }\:}\:. \\ $$ Commented by Frix last updated on 11/Sep/24…