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Category: Algebra

if-1-2-f-x-dx-2-then-1-4-1-x-f-x-dx-is-please-help-me-Sir-I-ve-been-trying-this-for-2-days-and-getting-stuck-

Question Number 56147 by afachri last updated on 11/Mar/19 $$\mathrm{if}\:\underset{\:\:\mathrm{1}} {\overset{\:\:\mathrm{2}} {\int}}\:{f}\left({x}\right)\:{dx}\:=\:\sqrt{\:\mathrm{2}\:},\:\mathrm{then}\:\underset{\:\:\mathrm{1}} {\overset{\:\:\mathrm{4}} {\int}}\:\frac{\mathrm{1}}{\:\sqrt{\:{x}\:}\:}\:{f}\left({x}\right)\:{dx} \\ $$$$\:\mathrm{is}\:?? \\ $$$$\:\:\mathrm{please}\:\mathrm{help}\:\mathrm{me}\:\mathrm{Sir}.\:\mathrm{I}'\mathrm{ve}\:\mathrm{been}\:\mathrm{trying} \\ $$$$\:\:\mathrm{this}\:\mathrm{for}\:\mathrm{2}\:\mathrm{days}\:\mathrm{and}\:\mathrm{getting}\:\mathrm{stuck}. \\ $$$$ \\ $$$$ \\…

calculate-i-1-49-cos-pi-40-i-sin-pi-40-10-

Question Number 56144 by gunawan last updated on 11/Mar/19 $$\mathrm{calculate}\:\left({i}−\mathrm{1}\right)^{\mathrm{49}} \left(\mathrm{cos}\:\frac{\pi}{\mathrm{40}}+{i}\:\mathrm{sin}\:\frac{\pi}{\mathrm{40}}\right)^{\mathrm{10}} \\ $$ Answered by Smail last updated on 11/Mar/19 $$\left({i}−\mathrm{1}\right)^{\mathrm{49}} =\left[\sqrt{\mathrm{2}}\left(\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}−{i}\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\right)\right]^{\mathrm{49}} \\ $$$$=\sqrt{\mathrm{2}^{\mathrm{49}} }\left({e}^{{i}\frac{\pi}{\mathrm{4}}}…

Determinate-the-module-and-the-argument-of-the-complex-number-z-1-cos-itan-1-cos-isin-with-pi-lt-lt-2pi-

Question Number 121657 by mathocean1 last updated on 10/Nov/20 $$\mathrm{Determinate}\:\mathrm{the}\:\mathrm{module} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{argument}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{complex}\:\mathrm{number}\: \\ $$$$\mathrm{z}=\frac{\mathrm{1}−\mathrm{cos}\theta+\mathrm{itan}\theta}{\mathrm{1}+\mathrm{cos}\theta−\mathrm{isin}\theta} \\ $$$$\mathrm{with}\:\pi<\theta<\mathrm{2}\pi \\ $$$$ \\ $$ Commented by TANMAY…

How-to-rationalize-a-denominator-in-a-fraction-Like-this-x-1-3-2-x-1-3-2-

Question Number 56092 by Mikael_Marshall last updated on 10/Mar/19 $${How}\:{to}\:{rationalize}\:{a}\:{denominator}\:{in} \\ $$$${a}\:{fraction}?\:{Like}\:{this}. \\ $$$$\frac{\sqrt[{\mathrm{3}}]{{x}}+\mathrm{2}}{\:\sqrt[{\mathrm{3}}]{{x}}−\mathrm{2}}\: \\ $$ Answered by math1967 last updated on 10/Mar/19 $$\frac{\left(^{\mathrm{3}} \sqrt{{x}}+\mathrm{2}\right)\left({x}^{\frac{\mathrm{2}}{\mathrm{3}}}…

x-3-x-c-let-x-mt-1-t-m-3-t-3-mt-1-t-2-c-1-t-3-m-3-m-c-t-3-2m-3c-t-2-3c-m-t-c-0-t-3-At-2-Bt-C-0-let-AB-C-2m-3c-m-3c-c-m-3-m-c-m-3-2-c-m-2-8m-10c-0-

Question Number 187166 by ajfour last updated on 14/Feb/23 $${x}^{\mathrm{3}} ={x}+{c} \\ $$$${let}\:\:{x}=\frac{{mt}}{\mathrm{1}−{t}} \\ $$$${m}^{\mathrm{3}} {t}^{\mathrm{3}} ={mt}\left(\mathrm{1}−{t}\right)^{\mathrm{2}} +{c}\left(\mathrm{1}−{t}\right)^{\mathrm{3}} \\ $$$$\Rightarrow \\ $$$$\left({m}^{\mathrm{3}} −{m}−{c}\right){t}^{\mathrm{3}} +\left(\mathrm{2}{m}−\mathrm{3}{c}\right){t}^{\mathrm{2}} \\…

a-x-b-y-c-z-1-3-a-2b-c-2-and-2y-z-1-x-An-altered-form-of-q-187020-In-this-case-solveable-

Question Number 187124 by Rasheed.Sindhi last updated on 13/Feb/23 $$\frac{{a}}{{x}}=\frac{{b}}{{y}}=\frac{{c}}{{z}}=\frac{\mathrm{1}}{\mathrm{3}}\:, \\ $$$${a}−\mathrm{2}{b}+{c}=\mathrm{2}\:\:{and}\:\:−\mathrm{2}{y}+{z}=\mathrm{1}\:\:\:\: \\ $$$${x}=? \\ $$$${An}\:{altered}\:{form}\:{of}\:\:{q}#\mathrm{187020} \\ $$$$\left({In}\:{this}\:{case}\:{solveable}\right) \\ $$ Answered by HeferH last updated…

x-2-2x-8-6-2x-12-x-

Question Number 121590 by pooooop last updated on 09/Nov/20 $$\boldsymbol{{x}}^{\mathrm{2}} +\mathrm{2}\boldsymbol{{x}}=\mathrm{8}\sqrt{\mathrm{6}} \\ $$$$\mathrm{2}\boldsymbol{{x}}−\frac{\mathrm{12}}{\boldsymbol{{x}}}=? \\ $$ Answered by mathmax by abdo last updated on 09/Nov/20 $$\mathrm{x}^{\mathrm{2}}…