Question Number 192049 by sciencestudentW last updated on 06/May/23 $${fog}\left({x}\right)=\mathrm{4}{x}−\mathrm{1} \\ $$$${g}\left({x}\right)={x}−\mathrm{2} \\ $$$${f}\left({x}\right)=? \\ $$ Answered by AST last updated on 06/May/23 $${f}\left({g}\left({x}\right)\right)=\mathrm{4}{x}−\mathrm{1}\Rightarrow{f}\left({x}−\mathrm{2}\right)=\mathrm{4}\left({x}−\mathrm{2}\right)+\mathrm{7} \\…
Question Number 192048 by sciencestudentW last updated on 06/May/23 $${if}\:{the}\:{combined}\:{function}\:{is}\:{h}\left({x}\right)=\sqrt{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}} \\ $$$${then}\:{find}\:{the}\:{tow}\:{other}\:{functions}\:{of}\:{its}. \\ $$ Commented by AST last updated on 07/May/23 $${If}\:“{combined}''\:{here}\:{means}\:{h}\left({x}\right)={f}\left({g}\left({x}\right)\right), \\ $$$${f}\left({x}\right)=\sqrt{{x}},{g}\left({x}\right)=\mathrm{3}{x}^{\mathrm{2}}…
Question Number 192047 by sciencestudentW last updated on 06/May/23 $${we}\:{have}\:{three}\:{digit}\:{number}\:{like}\:{XYZ} \\ $$$${that}\:{X}+{Y}+{Z}=\mathrm{16},\:{if}\:{we}\:{replace}\:{X}\:{by}\:{Z} \\ $$$${then}\:{it}\:{will}\:{be}\:{changed}\:{to}\:{ZYX}\:{number}\: \\ $$$${that}\:{ZYX}={XYZ}−\mathrm{594} \\ $$$${find}\:{XYZ}\:{number}. \\ $$ Answered by AST last updated…
Question Number 192046 by sciencestudentW last updated on 06/May/23 $${tow}\:{type}\:{creams}\:{are}\:{in}\:{a}\:{box}\:{that}\:{one}\: \\ $$$${type}\:{of}\:{these}\:{have}\:\mathrm{25}{gr}\:{mass}\:{and}\:{another} \\ $$$${ones}\:{have}\:\mathrm{37}{gr}\:{mass},\:{if}\:{the}\:{total}\:{mass} \\ $$$${of}\:{those}\:{is}\:\mathrm{870}{gr}\:{then}\:{find}\:{the}\:{number} \\ $$$${of}\:{each}\:{type}\:{of}\:{creams}. \\ $$ Answered by Skabetix last updated…
Question Number 126507 by joki last updated on 21/Dec/20 $$\int\frac{\mathrm{1}}{\left(\mathrm{x}−\mathrm{2}\right)\sqrt{\left.\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{1}\right)}}\mathrm{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 21/Dec/20 $$\int\frac{\mathrm{1}}{\left({x}−\mathrm{2}\right)\sqrt{\left({x}−\mathrm{2}\right)^{\mathrm{2}} −\left(\sqrt{\mathrm{3}}\right)^{\mathrm{2}} }}\:{dx} \\…
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Question Number 60948 by Kunal12588 last updated on 27/May/19 Commented by Prithwish sen last updated on 27/May/19 $$\mathrm{Let}\:\mathrm{A}\:\mathrm{be}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{of}\:\mathrm{the}\:\mathrm{complex}\:\mathrm{plane}\: \\ $$$$\mathrm{and}, \\ $$$$\mathrm{AB}=\mathrm{2a} \\ $$$$\mathrm{BC}=\mathrm{2b} \\…
Question Number 192015 by 073 last updated on 05/May/23 Answered by namphamduc last updated on 05/May/23 $$\mathrm{Use}\:\mathrm{this}:\int_{{a}} ^{{b}} {f}\left({x}\right){dx}=\int_{{a}} ^{{b}} {f}\left({a}+{b}−{x}\right){dx} \\ $$ Terms of…
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Question Number 60915 by naka3546 last updated on 27/May/19 $${Let}\:\:{Fibonacci}\:\:{sequence}\:\:\left({F}_{{n}} \right)\:_{{n}\geqslant\mathrm{0}} \\ $$$${where}\:\:{F}_{\mathrm{0}} \:=\:\mathrm{0},\:{F}_{\mathrm{1}} \:=\:\mathrm{1},\:\:{and}\:\:{F}_{{n}+\mathrm{2}} \:\:=\:\:{F}_{{n}+\mathrm{1}} \:+\:{F}_{{n}} \:\:\:\:,\:\:\forall\:{n}\:\:\geqslant\:\:\mathrm{0}\:. \\ $$$${Find}\:\:{the}\:\:{least}\:\:{of}\:\:{natural}\:\:{numbers}\:\:{n}\:\:{so}\:\:{that} \\ $$$${F}_{{n}} \:\:\:{and}\:\:\:{F}_{{n}+\mathrm{1}} \:−\:\mathrm{1}\:\:\:{can}\:\:{be}\:\:{divided}\:\:{by}\:\:\:{F}_{\mathrm{2019}} \:.…