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Question-208836

Question Number 208836 by Adeyemi889 last updated on 24/Jun/24 Answered by Rasheed.Sindhi last updated on 25/Jun/24 $${Ax}^{\mathrm{3}} −{A}+{Bx}^{\mathrm{2}} +{Bx}+{B}+\left({Cx}+{D}\right)\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1}\right) \\ $$$$={Ax}^{\mathrm{3}} −{A}+{Bx}^{\mathrm{2}} +{Bx}+{B}+{Cx}^{\mathrm{3}} +{Dx}^{\mathrm{2}}…

Why-is-surface-tension-formula-divided-by-2L-that-is-surface-tension-F-2L-why-divided-by-2L-Where-did-the-2-come-from-Example-Calculate-the-force-required-to-lift-a-needle-4cm-long-o

Question Number 208789 by Tawa11 last updated on 23/Jun/24 $$\mathrm{Why}\:\mathrm{is}\:\mathrm{surface}\:\mathrm{tension}\:\mathrm{formula}\:\mathrm{divided}\:\mathrm{by}\:\:\mathrm{2L} \\ $$$$\mathrm{that}\:\mathrm{is},\:\:\:\:\mathrm{surface}\:\mathrm{tension}\:\:=\:\:\frac{\mathrm{F}}{\mathrm{2L}} \\ $$$$\mathrm{why}\:\mathrm{divided}\:\mathrm{by}\:\:\mathrm{2L}. \\ $$$$\mathrm{Where}\:\mathrm{did}\:\mathrm{the}\:\mathrm{2}\:\mathrm{come}\:\mathrm{from}? \\ $$$$ \\ $$$$\mathrm{Example}. \\ $$$$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{force}\:\mathrm{required}\:\mathrm{to}\:\mathrm{lift}\:\mathrm{a}\:\mathrm{needle} \\ $$$$\mathrm{4cm}\:\mathrm{long}\:\mathrm{off}\:\mathrm{the}\:\mathrm{surface}\:\mathrm{of}\:\mathrm{water},\:\mathrm{if}\:\mathrm{surface} \\…

If-a-b-c-15-then-find-the-smallest-value-of-the-expression-a-2-1-b-2-9-c-2-16-Help-please-

Question Number 208823 by Ismoiljon_008 last updated on 23/Jun/24 $$ \\ $$$$\:\:\:{If}\:{a}+{b}+{c}=\mathrm{15},\:{then}\:{find}\:{the}\:{smallest}\:{value}\: \\ $$$$\:\:\:{of}\:{the}\:{expression}\:\sqrt{{a}^{\mathrm{2}} +\mathrm{1}}+\sqrt{{b}^{\mathrm{2}} +\mathrm{9}}+\sqrt{{c}^{\mathrm{2}} +\mathrm{16}}. \\ $$$$\:\:\:\:\:{Help}\:{please} \\ $$ Answered by mr W…

If-dx-x-3-1-x-6-2-3-xf-x-1-x-6-1-3-C-where-C-is-constant-of-integration-then-find-f-x-

Question Number 208791 by MATHEMATICSAM last updated on 23/Jun/24 $$\mathrm{If}\:\int\:\frac{{dx}}{{x}^{\mathrm{3}} \left(\mathrm{1}\:+\:{x}^{\mathrm{6}} \right)^{\frac{\mathrm{2}}{\mathrm{3}}} }\:=\:{xf}\left({x}\right).\left(\mathrm{1}\:+\:{x}^{\mathrm{6}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} \:+\:{C}\: \\ $$$$\mathrm{where}\:{C}\:\mathrm{is}\:\mathrm{constant}\:\mathrm{of}\:\mathrm{integration}\:\mathrm{then} \\ $$$$\mathrm{find}\:{f}\left({x}\right). \\ $$ Commented by mr W…