Question Number 155540 by cortano last updated on 02/Oct/21 $$\:\:\mathrm{f}\left(\mathrm{5}−\mathrm{4x}\right)=\mathrm{27x}^{\mathrm{2000}} −\mathrm{2187x}^{\mathrm{204}} −\mathrm{x}^{\mathrm{4}} +\mathrm{3x}+\mathrm{8} \\ $$$$\mathrm{f}\left(\mathrm{3x}−\mathrm{7}\right)=? \\ $$ Answered by Rasheed.Sindhi last updated on 02/Oct/21 $$\mathcal{T}{o}\:{transform}\:\mathrm{5}−\mathrm{4}{x}\:{into}\:\mathrm{3}{x}−\mathrm{7}…
Question Number 155541 by Engr_Jidda last updated on 02/Oct/21 $${form}\:{a}\:{partial}\:{equation}\:{from}\:\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+\frac{{y}^{\mathrm{2}} }{\mathrm{2}}={z}^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 155542 by Engr_Jidda last updated on 02/Oct/21 $${find}\:{the}\:{tylor}\:{series}\:{expantion}\:{of}\:\frac{{z}^{\mathrm{2}} −\mathrm{1}}{\left({z}+\mathrm{1}\right)\left({z}+\mathrm{3}\right)} \\ $$ Commented by aliyn last updated on 02/Oct/21 $$\boldsymbol{{i}}\:\boldsymbol{{think}}\:\boldsymbol{{maclurin}}\:\boldsymbol{{series}}\:\boldsymbol{{but}}\:\boldsymbol{{not}}\:\boldsymbol{{tylor}}\:\boldsymbol{{series}}\:? \\ $$ Commented by…
Question Number 155531 by mathdanisur last updated on 01/Oct/21 Commented by ghimisi last updated on 02/Oct/21 $${min}=−\frac{\mathrm{1}}{\mathrm{4}}\:\:\:\:\:\:\left({a}=\frac{\mathrm{1}}{\mathrm{4}};{b}=\frac{\mathrm{1}}{\mathrm{2}};{c}=\frac{\mathrm{1}}{\mathrm{4}}\right) \\ $$ Commented by mathdanisur last updated on…
Question Number 89991 by jagoll last updated on 20/Apr/20 $$\mathrm{if}\:\mathrm{a},\mathrm{b}\:>\:\mathrm{0}\:\mathrm{and}\:\frac{\mathrm{a}^{\mathrm{2}} }{\mathrm{b}^{\mathrm{2}} }\:=\:\frac{\mathrm{5}}{\mathrm{3}} \\ $$$$\mathrm{find}\:\frac{\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} }{\mathrm{ab}} \\ $$ Commented by john santu last updated on…
Question Number 155512 by mathdanisur last updated on 01/Oct/21 $$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\frac{\mathrm{tan}^{-\mathrm{1}} \boldsymbol{\mathrm{x}}\:-\:\mathrm{tan}^{-\mathrm{1}} \left(\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)}{\mathrm{1}\:+\:\mathrm{x}^{\mathrm{2}} }\:\centerdot\:\frac{\mathrm{1}+\mathrm{x}}{\mathrm{1}-\mathrm{x}}\:\mathrm{dx}\:=\:? \\ $$ Answered by Kamel last updated on 01/Oct/21 $$…
Question Number 24443 by Tinkutara last updated on 18/Nov/17 $${Solve}\:{for}\:{x}: \\ $$$$\left(\mathrm{10}^{−\mathrm{4}} {x}\right)^{{x}} =\mathrm{4}×\mathrm{10}^{−\mathrm{8}} \\ $$ Answered by ajfour last updated on 18/Nov/17 $$\Rightarrow\:\:{x}\mathrm{ln}\:\left(\mathrm{10}^{−\mathrm{4}} {x}\right)=\mathrm{ln}\:\mathrm{4}−\mathrm{8}…
Question Number 24438 by Tinkutara last updated on 18/Nov/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{to}\:\mathrm{infinite}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{series}\:\frac{{x}}{\mathrm{1}−{x}^{\mathrm{2}} }+\frac{{x}^{\mathrm{2}} }{\mathrm{1}−{x}^{\mathrm{4}} }+\frac{{x}^{\mathrm{4}} }{\mathrm{1}−{x}^{\mathrm{8}} }+…… \\ $$ Commented by prakash jain last updated…
Question Number 89977 by I want to learn more last updated on 20/Apr/20 Commented by jagoll last updated on 20/Apr/20 $$\frac{\mathrm{dx}}{\mathrm{dy}}\:=\:\mathrm{c}.\:\Rightarrow\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\frac{\mathrm{dx}}{\mathrm{dy}} \\ $$$$\mathrm{2x}−\frac{\mathrm{3}}{\mathrm{2}}.\frac{\mathrm{10}}{\mathrm{3}}\sqrt{\mathrm{x}}\:+\mathrm{5}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{c} \\ $$$$\mathrm{2x}−\mathrm{5}\sqrt{\mathrm{x}}+\mathrm{5}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{c}\:=\:\mathrm{0}…
Question Number 155500 by VIDDD last updated on 01/Oct/21 Answered by MJS_new last updated on 01/Oct/21 $${f}\left({x}+{y}\right)−\left({f}\left({x}\right)+{f}\left({y}\right)\right)=\mathrm{0} \\ $$$$\mathrm{2}{axy}−{c}=\mathrm{0} \\ $$$$\mathrm{this}\:\mathrm{is}\:\mathrm{only}\:\mathrm{true}\:\forall{x},{y}\in\mathbb{R}\:\mathrm{with}\:{a}=\mathrm{0}\:\Rightarrow\:{c}=\mathrm{0} \\ $$$${a}+{b}+{c}=\mathrm{3}\:\Rightarrow\:{b}=\mathrm{3} \\ $$$${f}\left({x}\right)=\mathrm{3}{x}…