Question Number 134469 by SEKRET last updated on 04/Mar/21 $$\:\:\:\int\:\:\frac{\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{m}}} +\mathrm{1}}{\boldsymbol{\mathrm{x}}^{\boldsymbol{\mathrm{n}}} +\mathrm{1}}\:\boldsymbol{\mathrm{dx}}\:\:=?\:\:\:\:\:\boldsymbol{\mathrm{n}}>\boldsymbol{\mathrm{m}}\:\:\:\:\:\:\boldsymbol{\mathrm{m}};\boldsymbol{\mathrm{n}}\in\boldsymbol{\mathrm{Z}}^{+} \\ $$ Answered by Olaf last updated on 04/Mar/21 $${x}^{{n}} +\mathrm{1}\:=\:\mathrm{0}\:\Leftrightarrow\:{x}\:=\:{e}^{{i}\frac{\pi}{{n}}\left(\mathrm{1}+\mathrm{2}{k}\right)} ,\:{k}\in\left\{\mathrm{0},\:\mathrm{1},…,\:{n}−\mathrm{1}\right\} \\…
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Question Number 134421 by mohammad17 last updated on 03/Mar/21 Commented by mohammad17 last updated on 03/Mar/21 $$???? \\ $$ Answered by Olaf last updated on…
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Question Number 134419 by mohammad17 last updated on 03/Mar/21 $${why}\:{the}\:{function}\:{cosz}\:{and}\:{sinz}\:{it}\:{is}\: \\ $$$${not}\:{bounded}\:{in}\:{complex}\:{number}\:? \\ $$ Answered by Olaf last updated on 03/Mar/21 $$\mathrm{cos}{z}\:=\:\mathrm{cos}\left({x}+{iy}\right) \\ $$$$\mathrm{cos}{z}\:=\:\mathrm{cos}{x}\mathrm{cos}\left({iy}\right)−\mathrm{sin}{x}\mathrm{sin}\left({iy}\right) \\…
Question Number 3340 by Filup last updated on 11/Dec/15 $$\mathrm{if}\:\:{y}={f}\left({x}\right) \\ $$$$\mathrm{how}\:\mathrm{do}\:\mathrm{you}\:\mathrm{write}\:\mathrm{the}\:\mathrm{function} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{reverse}? \\ $$$$ \\ $$$$\mathrm{Is}\:\mathrm{it}\:{x}={g}\left({y}\right)? \\ $$$$\mathrm{Or}\:\mathrm{is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{better}\:\mathrm{way}? \\ $$ Answered by prakash…
Question Number 3314 by Filup last updated on 10/Dec/15 $$\mathrm{Why}\:\mathrm{is}\:\mathrm{it}\:\mathrm{that}: \\ $$$$\overset{\rightarrow} {{v}}=\frac{{d}\overset{\rightarrow} {{x}}}{{dt}}\:\Rightarrow\:\overset{\rightarrow} {{x}}=\int\:\overset{\rightarrow} {{v}}\:{dt} \\ $$$$\overset{\rightarrow} {{a}}=\frac{{d}^{\mathrm{2}} \overset{\rightarrow} {{x}}}{{dt}^{\mathrm{2}} }=\frac{{d}\overset{\rightarrow} {{v}}}{{dt}} \\ $$$${v}={velocity}…
Question Number 134378 by mohammad17 last updated on 02/Mar/21 $${lim}_{{x}\rightarrow\mathrm{3}} \frac{{cos}\left(\frac{\mathrm{3}\pi}{\mathrm{2}{x}}\right)}{{x}−\mathrm{3}} \\ $$ Answered by bramlexs22 last updated on 02/Mar/21 $$\underset{{x}−\mathrm{3}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:\left(\frac{\mathrm{3}\pi}{\mathrm{2x}}\right)}{\mathrm{x}−\mathrm{3}} \\ $$$$\mathrm{let}\:\mathrm{x}−\mathrm{3}=\mathrm{w}\:\Rightarrow\:\frac{\mathrm{1}}{\mathrm{x}}=\frac{\mathrm{1}}{\mathrm{w}+\mathrm{3}} \\…
Question Number 134383 by otchereabdullai@gmail.com last updated on 03/Mar/21 $$\mathrm{In}\:\mathrm{a}\:\mathrm{course}\:\mathrm{a}\:\mathrm{student}\:\mathrm{gets}\:\mathrm{grade}\:\mathrm{C}\:\:\mathrm{if} \\ $$$$\mathrm{his}\:\mathrm{average}\:\mathrm{in}\:\:\mathrm{four}\:\mathrm{test}\:\mathrm{is}\:\mathrm{between}\: \\ $$$$\mathrm{50}\:\mathrm{and}\:\mathrm{60}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:\mathrm{score}\:\mathrm{X} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{fourth}\:\mathrm{test}\:\mathrm{to}\:\mathrm{ensure}\:\mathrm{a}\:\mathrm{grade}\:\mathrm{C} \\ $$$$\mathrm{given}\:\mathrm{that}: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{A}\:\mathrm{student}\:\mathrm{scores}\:\mathrm{65\%}\:,\:\mathrm{55\%},\:\mathrm{and} \\ $$$$\:\mathrm{45\%}\:\mathrm{in}\:\mathrm{the}\:\mathrm{first}\:\mathrm{three}\:\mathrm{test}. \\ $$$$\left(\mathrm{b}\right)\:\mathrm{A}\:\mathrm{student}\:\mathrm{score}\:\mathrm{70\%},\:\mathrm{60\%}\:\mathrm{and} \\…
Question Number 134341 by Eric002 last updated on 02/Mar/21 Answered by mr W last updated on 02/Mar/21 Commented by mr W last updated on 02/Mar/21…