Question Number 138219 by otchereabdullai@gmail.com last updated on 11/Apr/21 $$\:\mathrm{Consider}\:\mathrm{the}\:\mathrm{function}\:\mathrm{y}=\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{6}}{\mathrm{3x}−\mathrm{1}} \\ $$$$\left.\mathrm{1}\right)\:\mathrm{Determine}\:\mathrm{the}\:\mathrm{intercept}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{Find}\:\mathrm{the}\:\mathrm{asymptotes}\:\mathrm{if}\:\mathrm{they}\:\mathrm{exist} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{turning}\:\mathrm{point}\:\mathrm{and}\: \\ $$$$\mathrm{determine}\:\mathrm{the}\:\mathrm{type}\:\mathrm{of}\:\mathrm{turnin}\:\mathrm{point}\:\mathrm{they} \\ $$$$\mathrm{are}. \\ $$$$\left.\mathrm{4}\right)\:\mathrm{sketch}\:\mathrm{the}\:\mathrm{graph}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}. \\ $$…
Question Number 7135 by Master Moon last updated on 12/Aug/16 $$\boldsymbol{\mathrm{Prove}}\:\boldsymbol{\mathrm{that}} \\ $$$$\:\frac{\mathrm{3}}{\:\sqrt[{\mathrm{5}}]{\mathrm{2}}+\sqrt[{\mathrm{5}}]{\mathrm{3}}+\sqrt[{\mathrm{5}}]{\mathrm{5}}}\:>\:\frac{\sqrt[{\mathrm{4}}]{\mathrm{2}}+\sqrt[{\mathrm{4}}]{\mathrm{3}}+\sqrt[{\mathrm{4}}]{\mathrm{5}}}{\left(\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}+\sqrt{\mathrm{5}}\right)\left(\sqrt[{\mathrm{3}}]{\mathrm{2}}+\sqrt[{\mathrm{3}}]{\mathrm{3}}+\sqrt[{\mathrm{3}}]{\mathrm{5}}\right)} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:{How}\:{to}\:{prove}\:{it}\:? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 72640 by azizullah last updated on 31/Oct/19 Answered by ajfour last updated on 31/Oct/19 $$\mathrm{1}+\mathrm{0}=\mathrm{1} \\ $$ Answered by MJS last updated on…
Question Number 7122 by 314159 last updated on 11/Aug/16 Answered by uchechukwu okorie favour last updated on 11/Aug/16 $${let}\:{the}\:{probability}\:{that}\:{a}\:{student} \\ $$$${picked}\:{at}\:{random}\:{be}\:{taller}\:{than} \\ $$$$\mathrm{1}.\mathrm{8}\:{metres}\:{be}\:{Pr}\left({T}\right) \\ $$$${Also};\:{let}\:{the}\:{probability}\:{that}\:{a}…
Question Number 138167 by physicstutes last updated on 10/Apr/21 $$\mathrm{let}\:{f}\left({x}\right)\:=\:\begin{vmatrix}{{x}}&{{x}^{\mathrm{2}} }&{{x}^{\mathrm{3}} }\\{\mathrm{0}}&{\mathrm{2}{x}\:}&{\mathrm{3}{x}^{\mathrm{2}} }\\{\mathrm{1}}&{\mathrm{0}}&{{x}}\end{vmatrix}\:\mathrm{find} \\ $$$$\:{f}\:'\left({x}\right)\: \\ $$ Answered by Dwaipayan Shikari last updated on 10/Apr/21…
Question Number 72589 by TawaTawa last updated on 30/Oct/19 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x}:\:\:\:\:\left(\sqrt{\boldsymbol{\mathrm{x}}}\right)^{\boldsymbol{\mathrm{x}}} \:\:=\:\:\mathrm{27}\boldsymbol{\mathrm{x}}^{\sqrt{\boldsymbol{\mathrm{x}}}} \\ $$ Commented by MJS last updated on 30/Oct/19 $$\mathrm{trying}\:\mathrm{we}\:\mathrm{find}\:{x}=\mathrm{9} \\ $$ Commented by…
Question Number 72569 by otchereabdullai@gmail.com last updated on 30/Oct/19 $$\mathrm{2x}−\mathrm{y}+\mathrm{3z}\:=\mathrm{1} \\ $$$$\mathrm{4x}+\mathrm{2y}−\mathrm{z}\:=\:−\mathrm{8} \\ $$$$\mathrm{3x}+\mathrm{y}+\mathrm{2z}\:=\:−\mathrm{1} \\ $$ Answered by MJS last updated on 30/Oct/19 $$\left(\mathrm{2}\right)\:\:{z}=\mathrm{4}{x}+\mathrm{2}{y}+\mathrm{8} \\…
Question Number 7022 by Master Moon last updated on 06/Aug/16 $$\mathrm{Prove}\:\mathrm{that}\:\sqrt{\frac{\mathrm{2a}}{\mathrm{a}+\mathrm{b}}}\:+\:\sqrt{\frac{\mathrm{2b}}{\mathrm{b}+\mathrm{c}}}\:+\:\sqrt{\frac{\mathrm{2c}}{\mathrm{c}+\mathrm{a}}}\:\leqslant\:\mathrm{3} \\ $$$$\:{where}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{be}\:\mathrm{positive}\:\mathrm{real}\:\mathrm{numbers} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7013 by Master Moon last updated on 06/Aug/16 Commented by Yozzis last updated on 06/Aug/16 $$\left(\mathrm{1}−{x}\right)^{{n}} =\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}\left(−\mathrm{1}\right)^{{k}} {x}^{{k}} =\mathrm{1}+\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}\left(−\mathrm{1}\right)^{{k}}…
Question Number 138077 by mohammad17 last updated on 09/Apr/21 $$\int_{\:\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \left(\sqrt[{\mathrm{3}}]{{cotx}}+\frac{\mathrm{1}}{\:\sqrt[{\mathrm{3}}]{{cotx}}}\right)^{\mathrm{2}} {dx} \\ $$ Answered by Dwaipayan Shikari last updated on 09/Apr/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…