Question Number 133341 by mohammad17 last updated on 21/Feb/21 Answered by mathmax by abdo last updated on 21/Feb/21 $$\left.\mathrm{1}\right)\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{3}} \:+\mathrm{4x}^{\mathrm{2}} −\mathrm{10}\:\:\:\:\Rightarrow\mathrm{f}^{'} \left(\mathrm{x}\right)=\mathrm{3x}^{\mathrm{2}} \:+\mathrm{8x}\:>\mathrm{0}\:\mathrm{on}\left[\mathrm{1},\mathrm{2}\right]\:\Rightarrow\mathrm{f}\:\mathrm{is}\:\mathrm{increazing} \\ $$$$\mathrm{on}\:\left[\mathrm{1},\mathrm{2}\right]\:\mathrm{we}\:\mathrm{have}\:\mathrm{f}\left(\mathrm{1}\right)=\mathrm{5}−\mathrm{10}=−\mathrm{5}<\mathrm{0}\:\mathrm{and}\:\mathrm{f}\left(\mathrm{2}\right)=\mathrm{8}+\mathrm{16}−\mathrm{10}=\mathrm{14}>\mathrm{0}\:\Rightarrow…
Question Number 133337 by mohammad17 last updated on 21/Feb/21 Commented by Dwaipayan Shikari last updated on 21/Feb/21 $${x}=\mathrm{3}\:{y}=\mathrm{1}\:{z}=\mathrm{2} \\ $$ Commented by mohammad17 last updated…
Question Number 133335 by Ahmed1hamouda last updated on 21/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 2258 by Filup last updated on 12/Nov/15 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{following}\:\mathrm{sum}: \\ $$$$\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{i}+\mathrm{1}} {ix}^{{i}} ={x}−\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}{x}^{\mathrm{3}} −\mathrm{4}{x}^{\mathrm{4}} +… \\ $$ Commented by Filup last…
Question Number 2249 by Filup last updated on 11/Nov/15 $$\mathrm{With}\:\mathrm{linear}\:\mathrm{functions}\:{f}\left({x}\right)\:\mathrm{and}\:{g}\left({x}\right), \\ $$$$\mathrm{if}\:{f}\left({x}\right)\bot{g}\left({x}\right),\:\mathrm{then}: \\ $$$${m}_{{f}} {m}_{{g}} =−\mathrm{1}\:\:\:\:\mathrm{where}\:{m}_{{i}} \:\mathrm{is}\:\mathrm{the}\:\mathrm{gradient} \\ $$$$\mathrm{of}\:\mathrm{function}\:{i}\left({x}\right). \\ $$$$ \\ $$$$\mathrm{Does}\:\mathrm{that}\:\mathrm{therefore}\:\mathrm{mean}\:\mathrm{that},\:\mathrm{if}\:\mathrm{given} \\ $$$$\mathrm{function}\:\left(\mathrm{including}\:\mathrm{non}−\mathrm{linear}\right)\:{f}\left({x}\right),…
Question Number 2231 by Filup last updated on 10/Nov/15 $$\mathrm{For}\:{f}\left({x}\right)={x}! \\ $$$$\mathrm{Is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{defined}: \\ $$$$ \\ $$$$\left(\mathrm{1}\right)\:{f}'\left({x}\right) \\ $$$$\left(\mathrm{2}\right)\:\int{f}\left({x}\right){dx} \\ $$ Commented by Filup last updated…
Question Number 133300 by SEKRET last updated on 21/Feb/21 Commented by Dwaipayan Shikari last updated on 21/Feb/21 $${Diverges} \\ $$ Commented by mnjuly1970 last updated…
Question Number 133281 by aurpeyz last updated on 20/Feb/21 $${an}\:{object}\:{placed}\:\mathrm{20}{cm}\:{from}\:{a}\:{con}− \\ $$$${verving}\:{lens}\:{forms}\:{a}\:{mavnified}\:{clear} \\ $$$${image}\:{on}\:{the}\:{screen}.\:{when}\:{the}\:{lens} \\ $$$${is}\:{moved}\:\mathrm{20}{cm}\:{towards}\:{the}\:{screen} \\ $$$${a}\:{smaller}\:{clear}\:{image}\:{is}\:{formed}\:{on} \\ $$$${the}\:{screen}.\:{calculate}\:{the}\:{focal}\:{length} \\ $$$${of}\:{the}\:{lens} \\ $$ Terms…
Question Number 133248 by aurpeyz last updated on 20/Feb/21 $${can}\:{i}\:{think}\:{of}\:{a}\:{clear}\:{image}\:{as}\:{the} \\ $$$${same}\:{with}\:{a}\:{real}\:{image}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 133242 by Kunal12588 last updated on 20/Feb/21 Commented by Kunal12588 last updated on 20/Feb/21 $$\mathrm{book}\:\mathrm{says}\:\mathrm{it}\:\mathrm{is}\:\mathrm{easy}\:\mathrm{to}\:\mathrm{show}\:\mathrm{after}\:\mathrm{that} \\ $$$$\mathrm{but}\:\mathrm{how}?\:\mathrm{also}\:\mathrm{then}\:\mathrm{we}\:\mathrm{can}\:\mathrm{prove}\:\bigtriangleup\mathrm{ADB} \\ $$$$\mathrm{is}\:\mathrm{a}\:\mathrm{36}°-\mathrm{72}°-\mathrm{72}°\:\mathrm{triangle} \\ $$ Terms of…