Question Number 155572 by peter frank last updated on 02/Oct/21 $$\mathrm{Find}\:\mathrm{Z}^{\mathrm{4}} =\mathrm{1}. \\ $$$$\mathrm{Hence}\:\mathrm{show}\:\mathrm{that}\:\mathrm{1}+\mathrm{w}+\mathrm{w}^{\mathrm{2}} +\mathrm{w}^{\mathrm{3}} =\mathrm{0} \\ $$ Answered by puissant last updated on 02/Oct/21…
Question Number 90038 by frc2crc last updated on 21/Apr/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{H}_{{n}} }{{n}^{{k}} }={S}_{{k}} \:\:\:\:\:\:\:{H}_{{q}} =\underset{{p}=\mathrm{1}} {\overset{{q}} {\sum}}\frac{\mathrm{1}}{{p}} \\ $$$${Is}\:{there}\:{a}\:{simple}\:{from}\:{for}\:{S}_{{k}} \\ $$ Terms of Service…
Question Number 155568 by mr W last updated on 02/Oct/21 $${for}\:{a},{b},{c},{d},{e}\:\in{R}\:{and}\:{a}+{b}+{c}+{d}+{e}=\mathrm{5} \\ $$$${find}\:{the}\:{minimum}\:{value}\:{of}\: \\ $$$${a}^{\mathrm{2}} +\mathrm{2}{b}^{\mathrm{2}} +\mathrm{3}{c}^{\mathrm{2}} +\mathrm{4}{d}^{\mathrm{2}} +\mathrm{5}{e}^{\mathrm{2}} =? \\ $$ Answered by qaz…
Question Number 90030 by peter frank last updated on 21/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 155545 by mathdanisur last updated on 02/Oct/21 $$\mathrm{Solve}\:\mathrm{in}\:\mathbb{R} \\ $$$$\frac{\mathrm{5x}}{\:\sqrt{\mathrm{5x}^{\mathrm{2}} \:+\:\mathrm{4}}\:+\:\mathrm{7}\sqrt{\mathrm{x}}}\:+\:\frac{\mathrm{x}\:+\:\mathrm{2}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{3x}\:-\:\mathrm{18}}\:+\:\mathrm{2}\sqrt{\mathrm{x}}} \\ $$ Commented by Rasheed.Sindhi last updated on 02/Oct/21 $$=\mathrm{0}? \\…
Question Number 155547 by mathdanisur last updated on 02/Oct/21 $$\mathrm{let}\:\:\mathrm{a};\mathrm{b};\mathrm{c}>\mathrm{0}\:\:\mathrm{and}\:\mathrm{a}+\mathrm{b}+\mathrm{c}=\mathrm{3} \\ $$$$\mathrm{find}\:\mathrm{min}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{expression}: \\ $$$$\mathrm{S}\:=\:\mathrm{abc}\:+\:\left(\mathrm{a}-\mathrm{1}\right)^{\mathrm{2}} \:+\:\left(\mathrm{b}-\mathrm{1}\right)^{\mathrm{2}} \:+\:\left(\mathrm{c}-\mathrm{1}\right)^{\mathrm{2}} \\ $$ Answered by ghimisi last updated on 02/Oct/21…
Question Number 24469 by Tinkutara last updated on 18/Nov/17 $$\mathrm{Let}\:\mathrm{2}{x}\:+\:\mathrm{3}{y}\:+\:\mathrm{4}{z}\:=\:\mathrm{9},\:{x},\:{y},\:{z}\:>\:\mathrm{0}\:\mathrm{then} \\ $$$$\mathrm{the}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{of}\:\left(\mathrm{1}\:+\:{x}\right)^{\mathrm{2}} \:\left(\mathrm{2}\:+\:{y}\right)^{\mathrm{3}} \\ $$$$\left(\mathrm{4}\:+\:{z}\right)^{\mathrm{4}} \:\mathrm{is} \\ $$ Commented by sushmitak last updated on 18/Nov/17…
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…