Question Number 182508 by peter frank last updated on 10/Dec/22 Answered by mahdipoor last updated on 10/Dec/22 $${lim}\:{f}\left({x}\right)\:,\:{x}\rightarrow{c}\:={F} \\ $$$$\Leftrightarrow\forall\epsilon_{\mathrm{1}} >\mathrm{0}\:\:\exists\delta_{\mathrm{1}} >\mathrm{0}\:\:\mid{x}−{c}\mid<\delta_{\mathrm{1}} \Rightarrow\mid{F}−{f}\left({x}\right)\mid<\epsilon_{\mathrm{1}} \\ $$$${lim}\:{g}\left({x}\right)\:,\:{x}\rightarrow{c}\:={G}…
Question Number 51436 by Tawa1 last updated on 26/Dec/18 $$\mathrm{If}\:\:\:\:\mathrm{y}\:=\:\frac{\left(\mathrm{e}^{\mathrm{x}} \:+\:\mathrm{e}^{−\mathrm{x}} \right).\:\mathrm{tanh}\:\mathrm{x}}{\mathrm{e}^{\mathrm{x}} \:−\:\mathrm{sinh}\:\mathrm{x}} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\:\:\:\:\:\:\mathrm{y}'\:\:=\:\:\mathrm{2}\:\mathrm{sech}^{\mathrm{2}} \:\mathrm{x} \\ $$ Answered by peter frank last updated on…
Question Number 51431 by Tawa1 last updated on 26/Dec/18 $$\mathrm{Find}\:\:\mathrm{x}\:\mathrm{and}\:\mathrm{y} \\ $$$$\:\:\:\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:\:=\:\:\mathrm{25}\:\:\:\:\:……\:\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{y}^{\mathrm{3}} \:\:=\:\:\mathrm{91}\:\:\:…….\:\left(\mathrm{ii}\right) \\ $$ Commented by Tawa1 last updated…
Question Number 182461 by HeferH last updated on 09/Dec/22 $${Let}\:{x}\:{be}\:{a}\:{positive}\:{integer}\:{multiple}\:{of}\:\mathrm{17} \\ $$$${that}\:{satisfies}\:{the}\:{inequality}: \\ $$$$\:\mathrm{0}\:<\:\frac{\mathrm{5}\left({x}\:−\:\mathrm{120}\right)}{{x}}\:<\:\mathrm{1} \\ $$$$\:{Find}\:{the}\:{value}\:{of}\:{x}. \\ $$ Answered by mr W last updated on…
Question Number 116921 by Engr_Jidda last updated on 08/Oct/20 Answered by $@y@m last updated on 08/Oct/20 $${a}=\mathrm{2500},\:{d}=\mathrm{500} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{S}_{\mathrm{18}} =\frac{\mathrm{18}}{\mathrm{2}}\left\{\mathrm{2}×\mathrm{2500}+\mathrm{17}×\mathrm{500}\right\} \\ $$$$=\mathrm{9}×\mathrm{13500}=\mathrm{1},\mathrm{21},\mathrm{500} \\ $$$$\left(\mathrm{b}\right)\:{t}_{\mathrm{20}} =\mathrm{2500}\:+\:\mathrm{20}×\mathrm{500}=\mathrm{12500}…
Question Number 182459 by HeferH last updated on 09/Dec/22 Commented by HeferH last updated on 09/Dec/22 $${how}\:{is}\:{this}\:{calculator}\:{gettin}\:{these}\:{complex} \\ $$$$\:{values}\:? \\ $$ Commented by MJS_new last…
Question Number 116917 by I want to learn more last updated on 07/Oct/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{coefficient}\:\mathrm{and}\:\mathrm{greatest}\:\mathrm{term}\:\mathrm{in} \\ $$$$\left(\mathrm{3x}\:\:−\:\:\mathrm{2}\right)^{−\:\mathrm{7}} . \\ $$$$ \\ $$$$\mathrm{Sir}\:\mathrm{is}\:\mathrm{it}:\:\:\:\:\:\left(−\:\mathrm{1}\right)^{−\:\mathrm{7}} .\left(\mathrm{2}\:\:−\:\:\mathrm{3x}\right)^{−\:\mathrm{7}} \:\:\:\:=\:\:\:−\:\left(\mathrm{2}\:\:−\:\:\mathrm{3x}\right)^{−\:\mathrm{7}} \\ $$$$=\:\:\:−\:\:\frac{\mathrm{8008}\:\:×\:\:\mathrm{2}^{\mathrm{10}}…
Question Number 116913 by Engr_Jidda last updated on 07/Oct/20 Answered by Lordose last updated on 07/Oct/20 $$\mathrm{a}=\mathrm{7} \\ $$$$\mathrm{7}+\mathrm{9d}=\mathrm{2}\left(\mathrm{7}+\mathrm{d}\right) \\ $$$$\mathrm{7d}=\mathrm{7} \\ $$$$\mathrm{d}=\mathrm{1} \\ $$$$\left.\mathrm{a}\right)\:\mathrm{u}_{\mathrm{19}}…
Question Number 51368 by gunawan last updated on 26/Dec/18 Commented by afachri last updated on 26/Dec/18 $$\mathrm{ooh}\:\mathrm{di}\:\mathrm{Ciamis}\:\mathrm{toh}.\:\mathrm{kelas}\:\mathrm{berapa}\:\mathrm{Mas}\:?? \\ $$$$\mathrm{kuliahkah}\:??? \\ $$ Commented by gunawan last…
Question Number 116854 by mnjuly1970 last updated on 07/Oct/20 $$\:\:\:…\:\:\:{calculus}\:\:\:{elementary}\:\:{algebra}\:…\:\: \\ $$$$ \\ $$$$ \\ $$$$\:{please}\:{solve}\::: \\ $$$$ \\ $$$$\sqrt[{\mathrm{3}}]{\mathrm{6}{x}+\mathrm{9}}\:+\sqrt[{\mathrm{3}}]{\mathrm{7}−\mathrm{7}{x}}\:+\sqrt[{\mathrm{3}}]{{x}−\mathrm{8}}\:=\mathrm{2} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:…{m}.{n}.{july}.\mathrm{1970}… \\…