Question Number 165815 by SANOGO last updated on 08/Feb/22 $${deteminer}\:{l}'{expression}\:{de}\:{g}\left({x}\right) \\ $$$${g}\left({x}\right)=\underset{{n}=\mathrm{1}} {\overset{+{oo}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}}{x}^{{n}} \\ $$ Answered by puissant last updated on 08/Feb/22 $${g}\left({x}\right)=−{ln}\left(\mathrm{1}+{x}\right)={ln}\left(\frac{\mathrm{1}}{\mathrm{1}+{x}}\right)..…
Question Number 165808 by ZiYangLee last updated on 08/Feb/22 $$\mathrm{Which}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{is}\:\mathrm{an}\:\mathrm{even}\:\mathrm{function}? \\ $$$$\mathrm{A}.\:{f}_{\mathrm{1}} \left({x}\right)=\:\frac{\mathrm{sin}\:{x}}{\mathrm{3}^{{x}} +\mathrm{3}^{−{x}} }\:\:\:\:\:\:\:\:\:\mathrm{B}.\:{f}_{\mathrm{2}} \left({x}\right)=\:\frac{\mathrm{cos}\:{x}}{\mathrm{3}^{{x}} +\mathrm{3}^{−{x}} } \\ $$$$\mathrm{C}.\:{f}_{\mathrm{3}} \left({x}\right)=\mathrm{log}_{\mathrm{10}} \left({x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\right) \\ $$$$\mathrm{D}.\:{f}_{\mathrm{4}}…
Question Number 165805 by ZiYangLee last updated on 08/Feb/22 $$\mathrm{If}\:\:\mathrm{function}\:{f}\left({x}\right)=\mathrm{log}_{\frac{{x}}{\mathrm{2}}} \mathrm{log}_{\frac{\mathrm{1}}{\mathrm{3}}} \mathrm{log}\:_{\mathrm{4}} \:{x}\:\mathrm{exist}, \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:{f}\:. \\ $$ Answered by ZiYangLee last updated on 08/Feb/22 $$\mathrm{Ans}:\:\left(\mathrm{1},\mathrm{2}\right)\cup\left(\mathrm{2},\mathrm{4}\right)…
Question Number 34733 by 33 last updated on 10/May/18 $${Someone}\:{plz}\:{solve}\: \\ $$$${Q}\:\mathrm{34652}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34734 by mondodotto@gmail.com last updated on 10/May/18 $$\boldsymbol{\mathrm{given}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{first}}\:\boldsymbol{\mathrm{n}}\:\boldsymbol{\mathrm{terms}}\: \\ $$$$\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{an}}\:\boldsymbol{\mathrm{AP}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{{x}}^{\mathrm{2}} \:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}} \\ $$$$\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{first}}\:\mathrm{2}\boldsymbol{\mathrm{n}}\:\boldsymbol{\mathrm{terms}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{same}}\:\boldsymbol{\mathrm{AP}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{x}} \\ $$$$\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{first}}\:\mathrm{4}\boldsymbol{\mathrm{n}}\:\boldsymbol{\mathrm{terms}}\:\mathrm{is} \\ $$$$\mathrm{4}\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{8}\boldsymbol{{x}}+\mathrm{4} \\ $$ Commented by…
Question Number 34724 by mondodotto@gmail.com last updated on 10/May/18 $$\boldsymbol{\mathrm{use}}\:\boldsymbol{\mathrm{bernoulli}}\:\boldsymbol{\mathrm{methods}} \\ $$$$\boldsymbol{\mathrm{sec}}^{\mathrm{2}} \boldsymbol{{y}}\frac{\boldsymbol{{dy}}}{\boldsymbol{{dx}}}+\boldsymbol{{x}\mathrm{tan}{y}}=\boldsymbol{{x}}^{\mathrm{3}} \\ $$ Commented by mondodotto@gmail.com last updated on 10/May/18 $$\mathrm{please}\:\mathrm{someone}\:\mathrm{solve}\:\mathrm{this}\: \\ $$…
Question Number 165794 by SANOGO last updated on 08/Feb/22 $$\int\frac{{t}}{{e}^{−\mathrm{2}{t}} }{dt} \\ $$ Answered by TheSupreme last updated on 08/Feb/22 $$\int{te}^{\mathrm{2}{t}} =\frac{{te}^{{t}} }{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{4}}{e}^{\mathrm{2}{t}} +{c} \\…
Question Number 165791 by aurpeyz last updated on 08/Feb/22 Answered by ghchoi0707 last updated on 08/Feb/22 $${m}=\mathrm{Mass}\:\mathrm{of}\:\mathrm{roller}\:\mathrm{coaster}\:\left(\mathrm{any}\:\mathrm{unit}\right) \\ $$$${g}=\mathrm{Acceleration}\:\mathrm{by}\:\mathrm{Gravity}\fallingdotseq\mathrm{9}.\mathrm{8m}/\mathrm{s}^{\mathrm{2}} \\ $$$${z}=\mathrm{Position}\:\mathrm{of}\:\mathrm{roller}\:\mathrm{coaster}\:\left(\mathrm{m}\right) \\ $$$${v}_{{i}} /{v}_{{f}} =\mathrm{Initial}/\mathrm{Final}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{roller}\:\mathrm{coaster}\:\left(\mathrm{m}/\mathrm{s}\right)…
Question Number 34718 by tawa tawa last updated on 10/May/18 $$\mathrm{How}\:\mathrm{many}\:\mathrm{numbers}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{350}\:\mathrm{can}\:\mathrm{be}\:\mathrm{formed}\:\mathrm{from}\:\:\:\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{4}\:\mathrm{and}\:\mathrm{5} \\ $$ Answered by Rasheed.Sindhi last updated on 10/May/18 $$\mathrm{1dd}<\mathrm{350} \\ $$$$\mathrm{2dd}<\mathrm{350} \\ $$$$\mathrm{3dd}:\mathrm{355}\:\left(\mathrm{One}\:\mathrm{number}\right)…
Question Number 165780 by MWSuSon last updated on 08/Feb/22 $$\mathrm{Mr}\:\mathrm{and}\:\mathrm{Mr}\:\mathrm{young}\:\mathrm{borrowed}\:\mathrm{Z}\:\mathrm{amount}\:\mathrm{of}\:\mathrm{money}\:\mathrm{from} \\ $$$$\mathrm{a}\:\mathrm{bank}\:\mathrm{at}\:\mathrm{a}\:\mathrm{daily}\:\mathrm{interest}\:\mathrm{rate}\:\mathrm{r}.\:\mathrm{The}\:\mathrm{youngs}\:\mathrm{make}\:\mathrm{the} \\ $$$$\mathrm{same}\:\mathrm{micro}\:\mathrm{payment}\:\mathrm{of}\:\mathrm{D}\:\mathrm{amount}\:\mathrm{to}\:\mathrm{the}\:\mathrm{bank}\:\mathrm{each}\:\mathrm{day}. \\ $$$$\:\mathrm{Set}\:\mathrm{up}\:\mathrm{a}\:\mathrm{differential}\:\mathrm{equation}\:\mathrm{for}\:\mathrm{amount}\:\mathrm{x}\:\mathrm{owed} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{bank}\:\mathrm{at}\:\mathrm{the}\:\mathrm{end}\:\mathrm{of}\:\mathrm{the}\:\mathrm{each}\:\mathrm{day}\:\mathrm{after}\:\mathrm{the}\:\mathrm{loan} \\ $$$$\mathrm{closing}. \\ $$ Commented by MWSuSon…