Question Number 66225 by Rio Michael last updated on 11/Aug/19 $${Given}\:{that}\:\:\:\:\:{f}\left({x}\right)=\begin{cases}{−{x}\:+\:\mathrm{1},\:\:{x}\leqslant\:\mathrm{3}_{} }\\{{kx}\:−\mathrm{8},\:\:\:\:{x}\:>\mathrm{3}}\end{cases} \\ $$$${is}\:{continuous}\:{then}\:\:{f}\left(\mathrm{5}\right)\:=\: \\ $$$${A}\:\:\:\mathrm{2} \\ $$$${B}\:\:\:\mathrm{0} \\ $$$${C}\:\:−\mathrm{2} \\ $$$${D}\:\:−\mathrm{1} \\ $$$$ \\…
Question Number 131757 by zin last updated on 08/Feb/21 $${log}\mathrm{3}\sqrt{\mathrm{5}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 683 by 112358 last updated on 24/Feb/15 $${Determine}\:{the}\:{following}\:{sum}\:{in} \\ $$$${terms}\:{of}\:{n}. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{S}_{{n}} =\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}{i}^{\mathrm{2}} {q}^{{i}−\mathrm{1}} \\ $$$${where}\:\mathrm{0}\:<\:{q}\:<\:\mathrm{1}. \\ $$$${For}\:{the}\:{distribution}\:{of}\:{the}\:{discrete} \\ $$$${random}\:{variable}\:{X}\:{given}\:{as} \\…
Question Number 131755 by aurpeyz last updated on 08/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 66216 by Rio Michael last updated on 11/Aug/19 $$\mid{a}\:\mid\:=\:\mathrm{3}\:,\mid{b}\mid=\:\mathrm{5}\:,\:{a}.{b}\:=−\mathrm{14} \\ $$$$\:\:\mid{a}\:−\:{b}\mid\:=\:? \\ $$ Commented by Rasheed.Sindhi last updated on 11/Aug/19 $$\mid{a}\:\mid\:=\:\mathrm{3}\:,\mid{b}\mid=\:\mathrm{5}\:\Rightarrow{a}.{b}\:\neq−\mathrm{14} \\ $$$${a}.{b}=−\mathrm{15}\:\:{or}\:\:{a}.{b}=\mathrm{15}…
Question Number 680 by 123456 last updated on 23/Feb/15 $${find}\:{all}\:{f}:\mathbb{N}\rightarrow\mathbb{N}\:{such}\:{that} \\ $$$${f}\left[{n}+{f}\left({n}\right)\right]=\mathrm{2}{f}\left({n}\right) \\ $$ Answered by prakash jain last updated on 23/Feb/15 $${f}\left({n}\right)={kn}\:+{k}_{\mathrm{1}} \\ $$$${f}\left({n}+{kn}+{k}_{\mathrm{1}}…
Question Number 131751 by aurpeyz last updated on 08/Feb/21 Answered by physicstutes last updated on 08/Feb/21 $$\:\mathcal{I}\:=\:\frac{{V}}{\mathcal{R}} \\ $$$$\Rightarrow\:\frac{\mathrm{2}}{\mathrm{10},\mathrm{000}}\:=\:\frac{\mathrm{20}}{\mathcal{R}} \\ $$$$\Rightarrow\:{R}\:=\:\mathrm{100},\mathrm{000}\:\Omega \\ $$ Terms of…
Question Number 677 by prakash jain last updated on 22/Feb/15 $$\mathrm{Find}\:\mathrm{all}\:{f}:\:\mathbb{R}\rightarrow\mathbb{R}\:\mathrm{such}\:\mathrm{that} \\ $$$${f}\left({x}^{\mathrm{2}} +{yf}\left({x}\right)\right)={xf}\left({x}+{y}\right) \\ $$ Commented by 123456 last updated on 22/Feb/15 $${suposing}\:{f}\left({x}\right)={ax}+{b} \\…
Question Number 66213 by mathmax by abdo last updated on 10/Aug/19 $${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}^{{n}} \right){dx}\:{and}\:{B}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:{sin}\left({x}^{{n}} \right){dx} \\ $$$${with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{2} \\ $$ Commented…
Question Number 676 by 123456 last updated on 22/Feb/15 $${given}\:{two}\:{sequence}\:{a}_{{n}} >\mathrm{0},{b}_{{n}} >\mathrm{0}\:\:{such} \\ $$$$\forall{n}\in\mathbb{N}^{\ast} ,{a}_{{n}} ^{{n}} <{b}_{{n}} <{a}_{{n}} ^{\mathrm{1}/{n}} \\ $$$${a}.\:{if}\:\underset{{n}=\mathrm{1}} {\overset{+\infty} {\sum}}{a}_{{n}} \:{converge}\:{then}\:\underset{{n}=\mathrm{1}} {\overset{+\infty}…